Reading lens for scanner

BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to a reading lens for a scanner.
An image reader scans an original and reads an image therefrom by forming a reduced image of the original on a solid-state image pickup device such as CCD (Charge Coupled Device). Such an image reader is used in an image scanner, a facsimile system and a digital copying apparatus, etc.
A reading lens unit for scanner is used in the above mentioned image reader to form a reduced image of the original on the solid-state image pickup device.
2. Description of the Related Art
The reading lens is desirably such that the distance between an object and an image is short and the field angle is wide from the stand point of realizing a small and compact image reader. It is also required that the reading lens aperture be large and the lens be bright so as to heighten the image reading speed. Besides, these days, the pixel size of the solid-state image reader is becoming small, therefore a reading lens of high resolving power is required to makes it possible to heighten the resolution of the image by using the image reader having minute pixels. For example, when a CCD having a pixel size of 7 .mu.m is to be used, the reading lens is required such that the resolution thereof be 71.4 lines/mm on the light receiving surface of the CCD. It is also required that the lens have a high contrast with respect to the above mentioned spatial frequency of the lens (resolution) over the whole area of the light receiving surface of the CCD.
A Topogon lens has a wide field angle and a flat radial image surface.
From the view point of the characteristic of the lens, reading lenses for scanner using the Topogon lens are proposed (for example, Japanese Patent Application Laying Open (KOKAI) Nos. 63-75721 and 64-23215).
On the other hand, however, the Topogon lens is not satisfactory in the aspect of brightness so that it is hard to realize an image scanner of high functional speed. Besides, using the Topogon lens involves a problem that the color quality in the image surface is degraded as the field angle becomes large, which reduces the contrast of the image.
SUMMARY OF THE INVENTION
The present invention was made considering the points mentioned above.
It is therefore an object of the present invention to provide a novel reading lens for scanner which is bright and has a wide field angle and a high resolving power.
The above-mentioned object of the present invention can be achieved by a reading lens for scanner having a reducing magnification and comprising: a first lens disposed on an optical path and composed of a positive lens having a first lens surface on an object side thereof and a second lens surface on an image side thereof; a second lens disposed in contact with the second surface of the first lens on the optical path and composed of a negative lens having the second lens surface on an object side thereof and a third lens surface on an image side thereof; a third lens disposed in the image side of the second lens on the optical path and composed of a meniscus lens having a fourth lens surface on an object side thereof and a fifth lens surface on an image side thereof; a fourth lens disposed in the image side of the third lens on the optical path and composed of a meniscus lens having a sixth lens surface on an object side thereof and a seventh lens surface on an image side thereof; a fifth lens disposed in the image side of the fourth lens on the optical path and composed of a negative lens having an eighth lens surface on an object side thereof; and a sixth lens surface on an image side thereof; and a sixth lens disposed in contact with the ninth lens surface of the fifth lens on the optical path and composed of a positive lens having the ninth lens surface on an object side thereof and a tenth lens surface on an image side thereof, at least one of the ten lens surfaces from the first to tenth lens surfaces being formed as an aspherical surface.
By the above-mentioned construction of the lens assembly, a novel and advantageous reading lens for scanner can be realized.
Advantages of the above mentioned reading lens of the present invention are that the field angle is wide as 20 degrees in the half field angle thereof, that the contrast is fully high even at a high spatial frequency of 71.4 lines/mm and that the lens is bright as F/No=3 so that the vignetting factor of the lens becomes large.
Further objects and advantages of the present invention will be apparent from the following description of the preferred embodiments of the invention as illustrated in the accompanying drawings.

BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 is a constructional view of a reading lens assembly in accordance with the present invention; and
FIGS. 2a to 91d are graphical views of aberration curve of different embodiments of the present invention, wherein each of FIGS. 2a, 3a, 4a . . . , 91a represents spherical aberration, each of FIGS. 2b, 3b, 4b . . . , 91b represents astigmatism, each of FIGS. 2c, 3c, 4c . . . , 91c represents distortion and each of FIGS. 2d, 3d, 4d . . . , 91d represents coma aberration.

DESCRIPTION OF THE PREFERRED EMBODIMENTS
FIG. 1 illustrates an essential structure of an embodiment of the present invention.
The embodiment is constituted from a reading lens for scanner which is used for reading an original in a reduced magnification and comprises five lens elements; i.e., from first to fifth lens elements disposed in order along an optical path from an object side toward an image side. The first and fourth lens elements are composed of two lenses while the other lens elements are composed of a single lens. Therefore, the total lens number is seven. An aperture stop is disposed between the second lens element and the third lens element.
Each example or embodiment, described later, has the same structure as illustrated in FIG. 1.
Referring to FIG. 1, the first lens element comprises a first lens 10 which is composed of a positive lens and a second lens 12 which is composed of a negative lens and bonded to the image side of the first lens 10. The second lens element comprises a third lens 14 which is composed of a meniscus lens having a convex surface in the object side thereof. The third lens element comprises a fourth lens 16 which is composed of a meniscus lens having a convex surface in the image side thereof. The fourth lens element comprises a fifth lens 18 which is composed of a negative lens and a sixth lens 20 which is composed of a positive lens and bonded to the image side of the fifth lens 18. The fifth lens element comprises a seventh lens 22 which is composed of a plane glass plate having parallel side surfaces. The seventh lens 22 actually constitutes and serves as a cover glass disposed in the light receiving side of the image reader.
An aperture stop 15 is disposed between the third lens 14 of the second element and the fourth lens 16 of the third element.
The first lens 10 has a first lens surface of curvature radius (r.sub.1) on the object side thereof and a second lens surface of curvature radius (r.sub.2) on the image side thereof. The second lens 12 has the common second lens surface of curvature radius (r.sub.2) which is the same as that of the first lens 10 on the object side thereof and a third lens surface of curvature radius (r.sub.3) on the image side thereof. The third lens 14 has a fourth lens surface of curvature radius (r.sub.4) on the object side thereof and a fifth lens surface of curvature radius (r.sub.5) on the image side thereof. The fourth lens 16 has a sixth lens surface of curvature radius (r.sub.6) on the object side thereof and a seventh lens surface of curvature radius (r.sub.7) on the image side thereof. The fifth lens 18 has an eighth lens surface of curvature radius (r.sub.8) on the object side thereof and a ninth lens surface of curvature radius (r.sub.9) on the image side thereof. The sixth lens 20 has the common ninth lens surface of curvature radius (r.sub.9) which is the same as that of the fifth lens 18 on the object side thereof and a tenth lens surface of curvature radius (r.sub.10) on the image side thereof.
At least one of the ten lens surfaces, that is from the first lens surface (r.sub.1) to the tenth lens surface (r.sub.10) of the first to sixth lenses 10, 12,14,16,18 and 20 is formed as an aspherical surface.
The aspherical surface is represented by a revolutional surface obtained by rotating about an optical axis a curved line represented by the following equation.
X=(CH.sup.2 /[1+{1-(1+K)C.sup.2 H.sup.2 }.sup.1/2 ])+A.sub.2 H.sup.2 +A.sub.3 H.sup.3 +A.sub.4 H.sup.4 + . . . +A.sub.10 H.sup.10 +
wherein X is the position along the optical axis, H is the height in the direction perpendicular to the optical axis, C is a reciprocal number of the curvature radius on the optical axis and K is a conic constant.
The embodiment of the present invention is a lens which is improved from a Topogon type lens to widen the field angle of the lens. The Topogon lens has an advantageous point that the curvature of the radial image surface is small so that a relatively flat image can be obtained. However, the Topogon lens has a disadvantage that the color vision is impaired according as the field angle is enlarged so that the contrast is reduced.
In accordance with the embodiment of the present invention, the problem of the contrast reduction can be obviated due to the arrangement in which each of the first and fourth lens elements comprises a pair of positive and negative lenses bonded together. By adopting such an arrangement, it becomes possible to avoid degradation of the color vision in the image surface while maintaining the flatness of the radial image surface.
Also, in accordance with the embodiment of the present invention, at least one lens surface is formed as an aspherical surface to realize a lens having a large aperture.
In general, coma flare is increased according as the aperture is enlarged, which results in that the contrast is reduced. In order to minimize the coma flare, it is useful to correct the input or output lens surface which is extremely refractive. However, it is difficult to evenly correct the input or the output lens surface when the surface is spherical so that coma flare can not be avoided.
Therefore, in accordance with the embodiment of the present invention, an aspherical surface is adopted as a means for continuously changing the refractivity of the lens from the optical axis to the periphery of the lens.
Due to the arrangement of the aspherical surface, it becomes possible to minimize the coma flare in the lens having a large aperture.
Embodiments of the reading lens having the above mentioned structure are described hereinafter by numerically specifying the characteristic of the lens.
EMBODIMENT 1
The reading lens in accordance with this embodiment is arranged in such a way that the first lens surface is formed as an aspherical surface wherein the conic constant K.sub.1 of the aspherical surface satisfies the following condition.
-0.035<K.sub.1 <0 (1)
In the event in which the first lens surface is aspherical as this embodiment, the aspherical surface which satisfies the condition (1) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof. Also, in this case, the coma flare is minimized when the condition (1) is satisfied.
Three examples (Examples 1 to 3) of this embodiment 1 are represented below in table forms numerically specifying the lens factors.
In each of the examples, the first lens is composed of a positive meniscus lens, the second lens is composed of a negative meniscus lens, the third lens is composed of a negative meniscus lens, the fourth lens is composed of a negative meniscus lens, the fifth lens is composed of a double-concave lens, and the sixth lens is composed of a double-convex lens.
Also, as illustrated in FIG. 1, the curvature radius of the ith lens surface from the object side is represented by r.sub.i (i=1 to 12). Note that with respect to the aspherical surface, the curvature radius represents that of on the optical axis. The distance between the lens surfaces is represented by d.sub.i (i=1 to 11). The refractive index and Abbe's number of the jth lens are represented by n.sub.j and .nu..sub.j (j=1 to 7), respectively. Also, F represents the focal length of the whole lens assembly system, F.sub.NO represents the brightness of the lens, 2 .omega. represents the field angle (degree) and m represents the magnification of the lens.
Also, in tables, the aspherical surface is designated by the mark * and specified by the conic constant and the high order aspherical coefficients A.sub.4, A.sub.6, A.sub.8 and A.sub.10 in addition to being specified by the curvature radius on the optical axis.
It is to be noted that with regard to the representation of the aspherical coefficient, the letter E followed by a number represents the power number of 10. For example, E-12 represents 10.sup.-12 which is multiplied by the preceding number.
EXAMPLE 1
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.11i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 18.418 6.425 1 1.72916 54.682 101.873 2.520 2 1.78472 25.713 38.149 0.1004 13.415 2.794 3 1.84666 23.895 9.833 10.4346 -8.391 2.419 4 1.74077 27.797 -11.016 0.1008 -95.624 1.000 5 1.68893 31.089 72.151 5.526 6 1.72916 54.6810 -20.171 27.19311 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens surface.
K=-0.007909,A.sub.4 =-4.56267E-07,A.sub.6 =9.40804E-10, A.sub.8 =-7.66816E-13,A.sub.10 =-6.80560E-14
EXAMPLE 2
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 19.232 1.957 1 1.81600 46.622 108.363 0.100 2 1.84666 23.893 36.718 2.0424 14.167 5.388 3 1.84666 23.895 10.178 10.4486 -8.602 7.309 4 1.84666 23.897 -10.985 2.5828 -87.915 0.100 5 1.84666 23.899 165.458 2.389 6 1.81600 46.6210 -20.370 27.26011 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens surface.
K=-0.014618,A.sub.4 =-7.59464E-07,A.sub.6 =1.11388E-9, A.sub.8 =-4.36340E-12,A.sub.10 =-5.21945E-14
EXAMPLE 3
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 19.602 6.838 1 1.81600 46.602 149.422 2.822 2 1.81988 24.633 40.988 0.1004 15.747 2.773 3 1.84700 23.905 10.670 10.8416 -8.963 2.038 4 1.84700 23.907 -11.531 0.1008 -84.198 1.256 5 1.81871 24.669 87.957 5.062 6 1.82891 43.8610 -20.490 26.18511 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens surface.
K=-0.029407,A.sub.4 =-1.42090E-6,A.sub.6 =8.66635E-10, A.sub.8 =-1.95884E-11,A.sub.10 =-1.16864E-14
FIGS. 2, 3 and 4 represent the aberration curves of the examples 1 to 3, respectively. In the graphs, 1, 2 and 3 represent d-line, c-line and F-line, respectively. Also, the dash line of the spherical aberration curve represents the condition of sine. Also, in the astigmatism curve, the solid line represents the radial aberration and the dash line represents the tangential aberration.
The graphs show that the aberrations are fully compensated for.
EMBODIMENT 2
The reading lens in accordance with this embodiment is arranged in such a way that the third lens surface is formed as an aspherical surface wherein the conic constant K.sub.3 of the aspherical surface satisfies the following condition.
0.097<K.sub.3 <1.009 (2)
It is to be noted that the suffix number of the conic constant K represents the order number of the aspherical lens surface from the object side. For example, K.sub.3 means the conic constant of the third lens surface which is aspherical.
In the event in which the third lens surface is aspherical as this embodiment, the aspherical surface which satisfies the condition (2) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof. Also, in this case, the coma flare is minimized when the condition (2) is satisfied.
Three examples (Examples 4 to 6) of this embodiment 2 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 4
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.214 7.314 1 1.81600 46.622 98.753 2.586 2 1.84666 23.89 3* 36.199 0.2784 14.491 2.409 3 1.84666 23.895 10.364 10.1756 -8.428 1.928 4 1.84666 23.897 -10.707 0.2808 -91.808 2.158 5 1.84666 23.899 138.815 5.495 6 1.81600 46.6210 -20.512 28.20311 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the third lens surface.
K=0.416103,A.sub.4 =1.45873E-6,A.sub.6 =-9.31840E-9, A.sub.8 =-5.30585E-11,A.sub.10 =9.98433E-13
EXAMPLE 5
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.347 6.654 1 1.72916 54.682 89.226 2.941 2 1.78472 25.71 3* 40.127 0.1004 15.059 3.002 3 1.84666 23.895 10.460 9.9816 -8.300 2.437 4 1.74077 27.797 -10.919 0.1008 -111.195 1.000 5 1.68893 31.089 64.854 5.657 6 1.72916 54.6810 -20.311 27.73511 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the third lens surface.
K=0.916888,A.sub.4 =2.43391E-6,A.sub.6 =-1.25226E-8, A.sub.8 =-9.68957E-11,A.sub.10 =1.57001E-12
EXAMPLE 6
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.077 7.088 1 1.81600 46.602 112.670 2.211 2 1.84598 23.93 3* 34.678 0.3804 13.493 2.355 3 1.84700 23.905 9.972 10.3146 -8.410 1.867 4 1.84700 23.907 -10.646 0.4278 -85.423 2.148 5 1.84129 24.059 135.254 5.516 6 1.81600 46.6010 -20.484 28.27711 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the third lens surface.
K=0.098588,A.sub.4 =3.65303E-7,A.sub.6 =-2.99220E-9, A.sub.8 =-2.00759E-11,A.sub.10 =3.74471E-13
FIGS. 5, 6 and 7 represent the aberration curves of the examples 4, 5 and 6, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 3
The reading lens in accordance with this embodiment is arranged in such a way that the fourth lens surface is formed as an aspherical surface wherein the conic constant K.sub.4 of the aspherical surface satisfies the following condition.
-0.09<K.sub.4 <-0.04 (3)
In the event in which the fourth lens surface is aspherical as this embodiment, the aspherical surface which satisfies the condition (3) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof. Also, in this case, the coma flare is minimized when the condition (3) is satisfied.
Three examples (Examples 7 to 9) of this embodiment 3 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 7
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.034 7.255 1 1.81600 46.622 89.434 2.783 2 1.84666 23.893 39.449 0.100 4* 16.709 2.643 3 1.84666 23.895 10.994 10.5066 -8.738 2.115 4 1.84666 23.897 -11.200 0.1008 -98.291 1.800 5 1.84666 23.899 135.829 4.923 6 1.81600 46.6210 -20.497 27.18011 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fourth lens surface.
K=-0.078338,A.sub.4 =-5.54583E-6,A.sub.6 =-5.49609E-9, A.sub.8 =-1.17432E-10,A.sub.10 =-2.28246E-12
EXAMPLE 8
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.326 6.377 1 1.72916 54.682 96.093 2.444 2 1.78472 25.713 37.303 0.100 4* 13.374 2.782 3 1.84666 23.895 9.833 10.4346 -8.412 2.428 4 1.74077 27.797 -11.034 0.1008 -95.304 1.000 5 1.68893 31.089 71.382 5.506 6 1.72916 54.6810 -20.206 27.23511 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fourth lens surface.
K=-0.008160,A.sub.4 =-9.62302E-7,A.sub.6 =1.20808E-9, A.sub.8 =2.17664E-11,A.sub.10 =-2.24779E-12
EXAMPLE 9
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.042 7.334 1 1.81600 46.602 101.545 2.638 2 1.83162 24.303 36.814 0.100 4* 15.460 2.447 3 1.84700 23.905 10.650 10.4006 -8.737 1.934 4 1.84700 23.907 -11.106 0.1008 -80.958 1.846 5 1.80851 24.969 105.101 5.167 6 1.81970 45.7710 -20.263 27.44511 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fourth lens surface.
K=-0.052224,A.sub.4 =-4.18164E-6,A.sub.6 =-5.83089E-9, A.sub.8 =-2.76955E-11,A.sub.10 =-3.14083E-12
FIGS. 8, 9 and 10 represent the aberration curves of the examples 7, 8 and 9, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 4
The reading lens in accordance with this embodiment is arranged in such a way that the fifth lens-surface is formed as an aspherical surface wherein the conic constant K.sub.5 of the aspherical surface satisfies the following condition.
0<K.sub.5 <0.055 (4)
In the event in which the fifth lens-surface is aspherical as this embodiment, the aspherical surface which satisfies the condition (4) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof. Also, in this case, the coma flare is minimized when the condition (4) is satisfied.
Three examples (Examples 10 to 12) of this embodiment 4 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 10
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.805 6.970 1 1.81600 46.622 85.247 2.565 2 1.84666 23.893 38.279 0.1004 17.063 2.835 3 1.84666 23.89 5* 11.152 10.7416 -8.955 2.228 4 1.84666 23.897 -11.528 0.1008 -100.168 1.502 5 1.84666 23.899 133.777 4.854 6 1.81600 46.6210 -20.642 27.30411 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fifth lens-surface.
K=0.049412,A.sub.4 =1.00320E-5,A.sub.6 =8.40725E-8, A.sub.8 =2.49206E-10,A.sub.10 =4.69833E-11
EXAMPLE 11
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.904 7.301 1 1.81600 46.602 97.465 2.552 2 1.84144 24.043 35.495 0.1004 15.116 2.448 3 1.84700 23.90 5* 10.582 10.4146 -8.766 1.943 4 1.84700 23.907 -11.155 0.1008 -80.988 1.893 5 1.81170 24.879 109.602 5.227 6 1.81928 45.8610 -20.275 27.46811 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fifth lens-surface.
K=0.027910,A.sub.4 =6.38719E-6,A.sub.6 =4.48568E-8, A.sub.8 =2.32266E-10,A.sub.10 =3.17292E-11
EXAMPLE 12
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.285 6.367 1 1.72916 54.682 94.324 2.439 2 1.78472 25.713 37.079 0.1004 13.443 2.796 3 1.84666 23.89 5* 9.869 10.4126 -8.438 2.439 4 1.74077 27.797 -11.075 0.1008 -95.375 1.000 5 1.68893 31.089 71.249 5.499 6 1.72916 54.6810 -20.202 27.39611 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fifth lens-surface.
K=0.007493,A.sub.4 =2.14616E-6,A.sub.6 =4.21923E-9, A.sub.8 =-5.84199E-11,A.sub.10 =1.85723E-11
FIGS. 11, 12 and 13 represent the aberration curves of the examples 10, 11 and 12, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 5
The reading lens in accordance with this embodiment is arranged in such a way that the sixth lens-surface is formed as an aspherical surface wherein the conic constant K.sub.6 of the aspherical surface satisfies the following condition.
0<K.sub.6 <0.007 (5)
In the event in which the sixth lens-surface is aspherical as this embodiment, the aspherical surface which satisfies the condition (5) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof. Also, in this case, the coma flare is minimized when the condition (5) is satisfied.
Three examples (Examples 13 to 15) of this embodiment 5 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 13
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.442 7.041 1 1.81600 46.622 111.988 2.304 2 1.84666 23.893 36.704 0.1004 13.803 2.518 3 1.84666 23.895 10.109 9.926 6* -9.186 2.043 4 1.84666 23.897 -12.019 0.1358 -89.219 2.401 5 1.84666 23.899 193.598 5.699 6 1.81600 46.6210 -20.371 28.81711 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the sixth lens-surface.
K=0.005365,A.sub.4 =-8.23039E-6,A.sub.6 =5.91838E-8, A.sub.8 =-2.25537E-9,A.sub.10 =-7.88704E-12
EXAMPLE 14
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.717 6.036 1 1.72916 54.682 107.722 2.238 2 1.78472 25.713 40.569 0.1004 13.711 3.005 3 1.84666 23.895 9.953 9.948 6* -9.088 2.649 4 1.74077 27.797 -12.326 0.1008 -98.133 1.000 5 1.68893 31.089 83.669 5.447 6 1.72916 54.6810 -20.017 28.09611 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the sixth lens-surface.
K=0.002518,A.sub.4 =-9.24647E-6,A.sub.6 =9.61788E-8, A.sub.8 =-3.11805E-9,A.sub.10 =5.23537E-12
EXAMPLE 15
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.324 6.929 1 1.81600 46.602 117.736 2.121 2 1.83304 24.263 35.866 0.1004 13.848 2.522 3 1.84700 23.905 10.120 9.887 6* -9.370 2.007 4 1.84700 23.907 -12.324 0.1518 -87.574 2.362 5 1.82648 24.449 128.763 5.658 6 1.82009 45.6910 -20.368 28.2511 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the sixth lens-surface.
K=0.006308,A.sub.4 =-8.29250E-6,A.sub.6 =4.84237E-8, A.sub.8 =-2.14399E-9,A.sub.10 =-5.54669E-12
FIGS. 14, 15 and 16 represent the aberration curves of the examples 13, 14 and 15, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 6
The reading lens in accordance with this embodiment is arranged in such a way that the seventh lens-surface is formed as an aspherical surface wherein the conic constant K.sub.7 of the aspherical surface satisfies the following condition.
-0.014<K.sub.7 <0 (6)
In the event in which the seventh lens surface is aspherical as this embodiment, the aspherical surface which satisfies the condition (6) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof. Also, in this case, the coma flare is minimized when the condition (6) is satisfied.
Three examples (Examples 16 to 18) of this embodiment 6 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 16
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.086 7.044 1 1.81600 46.622 102.403 2.178 2 1.84666 23.893 34.772 0.2714 13.393 2.354 3 1.84666 23.895 9.933 10.1556 -8.692 1.905 4 1.84666 23.89 7* -11.130 0.3878 -87.013 2.240 5 1.84666 23.899 176.125 5.605 6 1.81600 46.6210 -20.466 27.51611 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the seventh lens-surface.
K=-0.003628,A.sub.4 =2.28002E-6,A.sub.6 =-1.43414E-8, A.sub.8 =8.33006E-11,A.sub.10 =2.50481E-12
EXAMPLE 17
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.625 5.916 1 1.72916 54.682 103.746 2.123 2 1.78472 25.713 40.025 0.1004 13.794 3.055 3 1.84666 23.895 10.010 10.1256 -9.014 2.641 4 1.74077 27.79 7* -12.252 0.1008 -104.401 1.000 5 1.68893 31.089 80.976 5.460 6 1.72916 54.6810 -20.133 28.08411 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the seventh lens-surface.
K=-0.006228,A.sub.4 =4.73538E-6,A.sub.6 =-3.69070E-8, A.sub.8 =6.39680E-10,A.sub.10 =-5.49358E-13
EXAMPLE 18
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.501 6.805 1 1.81600 46.602 123.700 2.048 2 1.83165 24.303 36.527 0.1004 14.036 2.647 3 1.84700 23.905 10.224 9.9996 -9.439 2.054 4 1.84700 23.90 7* -12.528 0.1008 -91.053 2.306 5 1.82348 24.539 125.946 5.603 6 1.82035 45.6310 -20.382 28.34211 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the seventh lens-surface.
K=-0.012493,A.sub.4 =5.33956E-6,A.sub.6 =-2.71217E-8, A.sub.8 =7.121090-10,A.sub.10 =-1.01155E-12
FIGS. 17, 18 and 19 represent the aberration curves of the examples 16, 17 and 18, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 7
The reading lens in accordance with this embodiment is arranged in such a way that the eighth lens-surface is formed as an aspherical surface wherein the conic constant K.sub.8 of the aspherical surface satisfies the following condition.
0.74<K.sub.8 <9.51 (7)
In the event in which the eighth lens-surface is aspherical as this embodiment, the aspherical surface which satisfies the condition (7) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof. Also, in this case, the coma flare is minimized when the condition (7) is satisfied.
Three examples (Examples 19 to 21) of this embodiment 7 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 19
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.324 7.069 1 1.81600 46.622 106.456 2.275 2 1.84666 23.893 35.700 0.1844 13.481 2.395 3 1.84666 23.895 9.956 9.9856 -8.840 1.967 4 1.84666 23.897 -11.376 0.248 8* -92.150 2.290 5 1.84666 23.899 161.572 5.611 6 1.81600 46.6210 -20.690 27.92511 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the eighth lens-surface.
K=3.822906,A.sub.4 =-7.93030E-7,A.sub.6 =8.99030E-9, A.sub.8 =6.74972E-12,A.sub.10 =-1.56450E-13
EXAMPLE 20
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.725 6.172 1 1.72916 54.682 102.928 2.289 2 1.78472 25.713 39.515 0.1004 13.395 2.914 3 1.84666 23.895 9.794 10.1016 -8.902 2.589 4 1.74077 27.797 -12.010 0.100 8* -103.538 1.000 5 1.68893 31.089 74.789 5.615 6 1.72916 54.6810 -20.043 28.15511 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the eighth lens-surface.
K=9.504827,A.sub.4 =-1.54750E-6,A.sub.6 =1.06757E-8, A.sub.8 =2.93413E-12,A.sub.10 =-1.43560E-13
EXAMPLE 21
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.076 7.018 1 1.81600 46.602 112.116 2.123 2 1.84493 23.953 34.562 0.3744 13.335 2.330 3 1.84700 23.905 9.908 10.1726 -8.527 1.869 4 1.84700 23.907 -10.835 0.401 8* -86.142 2.171 5 1.84272 24.019 139.558 5.537 6 1.81635 46.5210 -20.545 27.71911 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the eighth lens-surface.
K=0.744343,A.sub.4 =-1.64000E-7,A.sub.6 =2.76977E-9,A.sub.8 =8.73591E-12,A.sub.10 =-5.93840E-14
FIGS. 20, 21 and 22 represent the aberration curves of the examples 19, 20 and 21, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 8
The reading lens in accordance with this embodiment is arranged in such a way that the tenth lens-surface is formed as an aspherical surface wherein the conic constant K.sub.10 of the aspherical surface satisfies the following condition.
-0.06<K.sub.10 <0 (8)
In the event in which the tenth lens-surface is aspherical as this embodiment, the aspherical surface which satisfies the condition (8) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof. Also, in this case, the coma flare is minimized when the condition (8) is satisfied.
Three examples (Examples 22 to 24) of this embodiment 8 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 22
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 20.015 6.558 1 1.81600 46.622 118.268 2.062 2 1.84666 23.893 38.829 0.1004 14.366 2.903 3 1.84666 23.895 10.387 10.6576 -9.296 2.263 4 1.84666 23.897 -12.426 0.1008 -106.453 2.219 5 1.84666 23.899 143.133 5.333 6 1.81600 46.6210* -20.496 28.21711 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the tenth lens-surface.
K=-0.054674,A.sub.4 =2.25866E-6,A.sub.6 =-7.91677E-9,A.sub.8 =4.66936E-11,A.sub.10 =-5.16970E-14
EXAMPLE 23
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.647 5.904 1 1.72916 54.682 100.194 2.084 2 1.78472 25.713 39.540 0.1004 13.765 3.072 3 1.84666 23.895 10.002 10.4456 -8.865 2.617 4 1.74077 27.797 -12.044 0.1008 -110.436 1.000 5 1.68893 31.089 71.375 5.638 6 1.72916 54.6810* -20.108 27.99811 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the tenth lens-surface.
K=-0.039463,A.sub.4 =1.67673E-6,A.sub.6 =-4.57731E-9,A.sub.8 =2.36750E-11,A.sub.10 =1.49544E-15
EXAMPLE 24
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.060 7.009 1 1.81600 46.602 110.398 2.112 2 1.84457 23.963 34.483 0.3274 13.416 2.341 3 1.84700 23.905 9.962 10.2216 -8.545 1.867 4 1.84700 23.907 -10.877 0.3898 -86.883 2.181 5 1.84263 24.019 138.520 5.543 6 1.81656 46.4710* -20.537 27.62711 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the tenth lens-surface.
K=-0.006632,A.sub.4 =3.45624E-7,A.sub.6 =-1.54678E-9,A.sub.8 =-3.86417E-12,A.sub.10 =1.88441E-14
FIGS. 23, 24 and 25 represent the aberration curves of the examples 22, 23 and 24, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 9
The reading lens in accordance with this embodiment is arranged in such a way that the first lens-surface and the third lens-surface are formed as an aspherical surface wherein the conic constant K.sub.1 and K.sub.3 of the aspherical surfaces satisfy the following conditions.
-0.03<K.sub.1 <0 (9-1)
0.09<K.sub.3 <0.5 (9-2)
In the event in which the first and the third lens-surfaces are aspherical as this embodiment, the aspherical surface of the first lens-surface which satisfies the condition (9-1) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof and the aspherical surface of the third lens-surface which satisfies the condition (9-2) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof. Also, in this case, the coma flare is minimized when the conditions (9-1) and (9-2) are satisfied.
Three examples (Examples 25 to 27) of this embodiment 9 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 25
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 19.110 7.246 1 1.81600 46.622 102.481 2.452 2 1.84666 23.89 3* 35.710 0.2824 13.941 2.343 3 1.84666 23.895 10.117 10.2926 -8.472 1.915 4 1.84666 23.897 -10.766 0.3138 -87.472 2.123 5 1.84666 23.899 156.214 5.485 6 1.81600 46.6210 -20.433 27.25211 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.007750,A.sub.4 =-4.52796E-07,A.sub.6 =1.75905E-9,A.sub.8 =-2.80057E-13,A.sub.10 =-1.04580E-13
The aspherical surface is applied to the third lens-surface.
K=0.097573,A.sub.4 =3.56217E-07,A.sub.6 =-1.84123E-9,A.sub.8 =-3.03233E-11,A.sub.10 =-2.95016E-13
EXAMPLE 26
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.820 6.604 1 1.72916 54.682 110.237 3.482 2 1.78472 25.71 3* 44.391 0.1004 15.208 3.102 3 1.84666 23.895 10.405 9.7506 -8.494 2.539 4 1.74077 27.797 -11.316 0.1008 -121.248 1.000 5 1.68893 31.089 64.404 5.547 6 1.72916 54.6810 -20.306 26.48711 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.020553,A.sub.4 =-1.11466E-06,A.sub.6 =3.22682E-9,A.sub.8 =-1.15008E-11,A.sub.10 =-3.70485E-13
The aspherical surface is applied to the third lens-surface.
K=0.452788,A.sub.4 =1.16338E-06,A.sub.6 =-1.80592E-8,A.sub.8 =-2.71303E-10,A.sub.10 =3.66208E-13
EXAMPLE 27
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 19.604 6.636 1 1.81600 46.622 161.304 3.373 2 1.80104 25.19 3* 42.738 0.1004 16.348 2.773 3 1.84700 23.905 10.734 10.0976 -9.034 1.830 4 1.84700 23.907 -11.535 0.1008 -78.344 1.929 5 1.78996 25.559 78.453 5.213 6 1.82870 43.9010 -20.449 27.08611 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.034658,A.sub.4 =-1.54315E-6,A.sub.6 =1.62857E-9, A.sub.8 =-1.51745E-11,A.sub.10 =-2.42377E-13
The aspherical surface is applied to the third lens-surface.
K=0.252311,A.sub.4 =8.98927E-7,A.sub.6 =-1.46919E-8, A.sub.8 =-2.11439E-10,A.sub.10 =1.72957E-13
FIGS. 26, 27 and 28 represent the aberration curves of the examples 25, 26 and 27, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 10
The reading lens in accordance with this embodiment is arranged in such a way that the first lens-surface and the fourth lens-surface are formed as an aspherical surface wherein the conic constant K.sub.1 and K.sub.4 of the aspherical surfaces satisfy the following conditions.
-0.02<K.sub.1 <0 (10-1)
-0.04<K.sub.4 <-0.017 (10-2)
In the event in which the first and the fourth lens-surfaces are aspherical as this embodiment, the aspherical surface of the first lens-surface which satisfies the condition (10-1) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof and the aspherical lens surface of the fourth lens-surface which satisfies the condition (10-2) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof. Also, in this case, the coma flare is minimized when the conditions (10-1) and (10-2) are satisfied.
Three examples (Examples 28 to 30) of this embodiment 10 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 28
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 19.088 7.415 1 1.81600 46.622 98.790 2.717 2 1.84666 23.893 36.594 0.224 4* 14.544 2.322 3 1.84666 23.895 10.315 10.1206 -8.538 1.952 4 1.84666 23.897 -10.891 0.2458 -90.225 2.136 5 1.84666 23.899 150.464 5.473 6 1.81600 46.6210 -20.380 27.07111 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.008429,A.sub.4 =-5.04034E-7,A.sub.6 =2.12374E-9, A.sub.8 =-3.78090E-12,A.sub.10 =-1.19472E-13
The aspherical surface is applied to the fourth lens-surface.
K=-0.016752,A.sub.4 =-1.53051E-6,A.sub.6 =-7.31268E-9, A.sub.8 =-3.14188E-12,A.sub.10 =6.02591E-12
EXAMPLE 29
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 18.512 6.186 1 1.72916 54.682 98.470 3.453 2 1.78472 25.713 47.241 0.100 4* 16.745 3.475 3 1.84666 23.895 10.780 9.7126 -8.557 2.547 4 1.74077 27.797 -11.392 0.1008 -134.203 1.000 5 1.68893 31.089 63.424 5.511 6 12.72916 54.6810 -20.519 26.25911 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.017628,A.sub.4 =-9.58682E-7,A.sub.6 =2.15373E-9, A.sub.8 =-2.98307E-11,A.sub.10 =-2.21943E-13
The aspherical surface is applied to the fourth lens-surface.
K=-0.039724,A.sub.4 =-3.22412E-6,A.sub.6 =7.60970E-9, A.sub.8 =2.11926E-10,A.sub.10 =4.32071E-12
EXAMPLE 30
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 19.211 7.359 1 1.81600 46.602 122.656 2.940 2 1.81060 24.903 39.019 0.100 4* 15.852 2.425 3 1.84700 23.905 10.687 10.0736 -8.813 1.890 4 1.84700 23.907 -11.241 0.1008 -80.200 1.984 5 1.80317 25.139 101.338 5.294 6 1.82129 45.4310 -20.222 27.28911 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.015876,A.sub.4 =-8.60148E-7,A.sub.6 =2.41887E-9, A.sub.8 =-9.31686E-12,A.sub.10 =-1.51407E-13
The aspherical surface is applied to the fourth lens-surface.
K=-0.034171,A.sub.4 =-2.67962E-6,A.sub.6 =-7.22367E-9, A.sub.8 =-4.12487E-12,A.sub.10 =7.25781E-12
FIGS. 29, 30 and 31 represent the aberration curves of the examples 28, 29 and 30, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 11
The reading lens in accordance with this embodiment is arranged in such a way that the first lens-surface and the fifth lens surface are formed as an aspherical surface wherein the conic constant K.sub.1 and K.sub.5 of the aspherical surfaces satisfy the following conditions.
-0.02<K.sub.1 <0 (11-1)
0<K.sub.5 <0.025 (11-2)
In the event in which the first and the fifth lens-surfaces are aspherical as this embodiment, the aspherical surface of the first lens-surface which satisfies the condition (11-1) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof and the aspherical lens surface of the fifth lens-surface which satisfies the condition (11-2) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof. Also, in this case, the coma flare is minimized when the conditions (11-1) and (11-2) are satisfied.
Three examples (Examples 31 to 33) of this embodiment 11 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 31
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 19.149 7.148 1 1.81600 46.622 105.746 3.149 2 1.84666 23.893 41.831 0.1004 16.846 2.744 3 1.84666 23.89 5* 10.955 10.0026 -8.682 2.003 4 1.84666 23.897 -11.142 0.1008 -103.393 2.329 5 1.84666 23.899 133.142 5.361 6 1.81600 46.6210 -20.671 26.5511 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.018862,A.sub.4 =-1.01049E-6,A.sub.6 =1.91731E-9A.sub.8 =-2.04957E-11,A.sub.10 =-8.56358E-14
The aspherical surface is applied to the fifth lens-surface.
K=0.020362,A.sub.4 =5.06392E-6,A.sub.6=- 3.294908E-8, A.sub.8 =7.41789E-10,A.sub.10 =-6.61300E-11
EXAMPLE 32
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 18.404 6.418 1 1.72916 54.682 97.014 2.487 2 1.78472 25.713 37.756 0.1004 13.491 2.794 3 1.84666 23.89 5* 9.893 10.2566 -8.383 2.421 4 1.74077 27.797 -11.014 0.1008 -95.950 1.000 5 1.68893 31.089 70.025 5.603 6 1.72916 54.6810 -20.192 27.36911 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.003080,A.sub.4 =-1.88489E-7,A.sub.6 32 9.68848E-10 A.sub.8 =-2.08042E-12,A.sub.10 =-9.80886E-14
The aspherical surface is applied to the fifth lens-surface.
K=0.003736,A.sub.4 =1.21199E-6,A.sub.6 =3.73261E-9, A.sub.8 =-4.52120E-10,A.sub.10 =-2.89756E-11
EXAMPLE 33
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 19.019 7.420 1 1.81600 46.602 112.173 2.731 2 1.82588 24.463 36.474 0.1054 15.106 2.358 3 1.84700 23.90 5* 10.530 10.066 -8.675 1.898 4 1.84700 23.907 -11.057 0.2538 -83.275 1.997 5 1.81583 24.759 118.260 5.356 6 1.81782 46.1910 -20.277 27.27511 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.010443,A.sub.4 =-5.98715E-7,A.sub.6 =2.00529E-9, A.sub.8 =-4.13581E-12,A.sub.10 =-1.12304E-13
The aspherical surface is applied to the fifth lens-surface.
K=0.015159,A.sub.4 =3.43273E-6,A.sub.6 =4.78610E-8, A.sub.8 =3.96971E-10,A.sub.10 =-5.57490E-11
FIGS. 32, 33 and 34 represent the aberration curves of the examples 31, 32 and 33, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 12
The reading lens in accordance with this embodiment is arranged in such a way that the first lens-surface and the sixth lens-surface are formed as an aspherical surface wherein the conic constant K.sub.1 and K.sub.6 of the aspherical surfaces satisfy the following conditions.
-0.026<K.sub.1 <0 (12-1)
-0.005<K.sub.6 <0.0025 (12-2)
In the event in which the first and the sixth lens-surfaces are spherical as this embodiment, the aspherical surface of the first lens-surface which satisfies the condition (12-1) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof and the aspherical surface of the sixth lens-surface which satisfies the condition (12-2) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides or to the minor axis thereof. Also, in this case, the coma flare is minimized when the conditions (12-1) and (12-2) are satisfied.
Three examples (Examples 34 to 36) of this embodiment 12 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 34
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 19.063 7.061 1 1.81600 46.622 102.103 2.196 2 1.84666 23.893 34.789 0.3084 13.360 2.330 3 1.84666 23.895 9.901 10.181 6* -8.684 1.911 4 1.84666 23.897 -11.103 0.3868 -85.916 2.237 5 1.84666 23.899 174.694 5.599 6 1.81600 46.6210 -20.432 27.45711 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.001960,A.sub.4 =-1.46168E-7,A.sub.6 =8.63897E-10 A.sub.8 =1.33465E-12,A.sub.10 =-2.86779E-14
The aspherical surface is applied to the sixth lens-surface.
K=0.002280,A.sub.4 =-3.26010E-6,A.sub.6 =2.315580E-8,A.sub.8 =-4.11491E-10,A.sub.10 =-1.04530E-11
EXAMPLE 35
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 18.215 5.500 1 1.72916 54.682 107.097 2.113 2 1.78472 25.713 42.713 0.1004 14.911 3.443 3 1.84666 23.895 10.314 10.323 6* -9.086 2.760 4 1.74077 27.797 -12.365 0.1008 -127.467 1.000 5 1.68893 31.089 73.175 5.569 6 1.72916 54.6810 -21.007 27.0511 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.013965,A.sub.4 =-6.74060E-7,A.sub.6 =3.29871E-10 A.sub.8 =-1.66152E-11,A.sub.10 =-2.44190E-14
The aspherical surface is applied to the sixth lens-surface.
K=-0.004581,A.sub.4 =-1.20696E-5,Ahd 6=2.31282E-7, A.sub.8 =-6.93064E-9,A.sub.10 =2.30984E-11
EXAMPLE 36
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 19.450 6.335 1 1.81600 46.602 146.457 1.988 2 1.79202 25.483 39.169 0.1004 15.318 2.870 3 1.84700 23.905 10.551 10.226 6* -10.031 2.205 4 1.84700 23.907 -13.476 0.1008 -84.284 1.535 5 1.81654 24.729 97.325 4.938 6 1.83310 43.0510 -20.408 28.70411 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.023233,A.sub.4 =-9.87032E-7,A.sub.6 =9.11501E-10, A.sub.8 =-1.25253E-11,A.sub.10 =-2.63762E-14
The aspherical surface is applied to the sixth lens-surface.
K=0.002083,A.sub.4 =-8.25530E-6,A.sub.6 =1.02286E-7, A.sub.8 =-3.94557E-9,A.sub.10 =2.92095E-11
FIGS. 35, 36 and 37 represent the aberration curves of the examples 34, 35 and 36, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 13
The reading lens in accordance with this embodiment is arranged in such a way that the first lens-surface and the seventh lens-surface are formed as an aspherical surface wherein the conic constant K.sub.1 and K.sub.7 of the aspherical surfaces satisfy the following conditions.
-0.02<K.sub.1 <0 (13-1)
-0.020<K.sub.7 <0.004 (13-2)
In the event in which the first and the seventh lens-surfaces are aspherical as this embodiment, the aspherical surface of the first lens-surface which satisfies the condition (13-1) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof and the aspherical surface of the seventh lens-surface which satisfies the condition (13-2) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides or the minor axis thereof. Also, in this case, the coma flare is minimized when the conditions (13-1) and (13-2) are satisfied.
Three examples (Examples 37 to 39) of this embodiment 13 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 37
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 19.062 7.058 1 1.81600 46.622 101.762 2.194 2 1.84666 23.893 34.772 0.2814 13.400 2.341 3 1.84666 23.895 9.926 10.0266 -8.676 1.907 4 1.84666 23.89 7* -11.101 0.3748 -86.769 2.236 5 1.84666 23.899 174.517 5.598 6 1.81600 46.6210 -20.444 27.57911 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.001976,A.sub.4 =-1.44894E-7,A.sub.6 =8.37117E-10 A.sub.8 =1.18126E-12,A.sub.10 =-2.81943E-14
The aspherical surface is applied to the seventh lens-surface.
K=0.003234,A.sub.4 =1.98394E-6,A.sub.6 =-1.151368E-8,A.sub.8 =8.59008E-11,A.sub.10 =2.19876E-12
EXAMPLE 38
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 18.218 5.551 1 1.72916 54.682 105.483 2.114 2 1.78472 25.713 41.921 0.1004 14.999 3.473 3 1.84666 23.895 10.421 10.5076 -8.881 2.699 4 1.74077 27.79 7* -12.144 0.1008 -124.671 1.000 5 1.68893 31.089 74.703 5.717 6 1.72916 54.6810 -20.577 26.94711 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.011703,A.sub.4 =-5.76026E-7,A.sub.6 =4.46521E-10 A.sub.8 =-1.91375E-11,A.sub.10 =-1.23951E-14
The aspherical surface is applied to the seventh lens-surface.
K=0.003228,A.sub.4 =6.35968E-6,A.sub.6 =-7.04247E-8, A.sub.8 =1.32165E-9,A.sub.10 =-1.56414E-12
EXAMPLE 39
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 19.360 5.651 1 1.81079 46.602 157.986 1.739 2 1.76552 26.103 40.478 0.1004 16.379 3.293 3 1.83683 23.905 10.905 10.7336 -10.208 2.352 4 1.83683 23.90 7* -14.045 0.1008 -89.681 1.000 5 1.80774 24.709 96.139 4.999 6 1.82891 42.7610 -20.317 28.77911 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.029247,A.sub.4 =-1.17034E-6,A.sub.6 =2.88618E-10, A.sub.8 =-2.06262E-11, A.sub.10 =1.43840E-15
The aspherical surface is applied to the seventh lens-surface.
K=-0.015128,A.sub.4 =6.16670E-6,A.sub.6 =5.49297E-8, A.sub.8 =1.30015E-9,A.sub.10 =-5.67732E-12
FIGS. 38, 39 and 40 represent the aberration curves of the examples 37, 38 and 39, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 14
The reading lens in accordance with this embodiment is arranged in such a way that the first lens-surface and the eighth lens-surface are formed as an aspherical surface wherein the conic constant K.sub.1 and K.sub.8 of the aspherical surfaces satisfy the following conditions.
-0.038<K.sub.1 <0 (14-1)
0.6<K.sub.8 <14.6 (14-2)
In the event in which the first and the eighth lens-surfaces are aspherical as this embodiment, the aspherical surface of the first lens-surface which satisfies the condition (14-1) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof and the aspherical surface of the eighth lens-surface which satisfies the condition (14-2) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof. Also, in this case, the coma flare is minimized when the conditions (14-1) and (14-2) are satisfied.
Three examples (Examples 40 to 42) of this embodiment 13 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 40
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 19.493 6.792 1 1.81600 46.622 120.633 2.944 2 1.84666 23.893 42.972 0.1004 15.067 2.831 3 1.84666 23.895 10.072 10.9876 -9.592 2.334 4 1.84666 23.897 -12.975 0.100 8* -97.373 1.684 5 1.84666 23.899 201.454 5.128 6 1.81600 46.6210 -19.373 26.68011 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.034325,A.sub.4 =-1.66540E-6,A.sub.6 =2.21745E-9 A.sub.8 =-2.91556E-11,A.sub.10 =6.45751E-15
The aspherical surface is applied to the eighth lens-surface.
K=13.300293,A.sub.4 =-2.68862E-6,A.sub.6 =1.406940E-8, A.sub.8 =-9.51671E-11,A.sub.10 =3.74453E-13
EXAMPLE 41
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 18.439 6.402 1 1.72916 54.682 103.290 2.610 2 1.78472 25.713 40.272 0.1004 13.621 2.896 3 1.84666 23.895 9.760 10.3876 -8.767 2.553 4 1.74077 27.797 -11.830 0.100 8* -100.602 1.000 5 1.68893 31.089 77.656 5.770 6 1.72916 54.6810 -19.629 26.87111 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.014080,A.sub.4 =-8.16146E-7,A.sub.6 =1.78859E-9 A.sub.8 =-7.72303E-12,A.sub.10 =-7.20514E-14
The aspherical surface is applied to the eighth lens-surface.
K=9.571830,A.sub.4 =-1.51704E-6,A.sub.6 =6.18854E-9, A.sub.8 =-6.50425E-12,A.sub.10 =-4.50413E-14
EXAMPLE 42
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 19.072 7.038 1 1.81600 46.602 113.114 2.149 2 1.84360 23.993 34.689 0.3574 13.319 2.312 3 1.84700 23.905 9.882 10.2096 -8.578 1.877 4 1.84700 23.907 -10.906 0.380 8* -85.013 2.148 5 1.84153 24.049 141.065 5.515 6 1.81673 46.4310 -20.498 27.56711 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.002573,A.sub.4 =-1.79411E-7,A.sub.6 =9.10678E-10, A.sub.8 =1.87968E-12,A.sub.10 =-2.99375E-14
The aspherical surface is applied to the eighth lens-surface.
K=0.715988,A.sub.4 =-1.51707E-7,A.sub.6 =2.35780E-9, A.sub.8 =8.16645E-12,A.sub.10 =-3.74693E-14
FIGS. 41, 42 and 43 represent the aberration curves of the examples 40, 41 and 42, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 15
The reading lens in accordance with this embodiment is arranged in such a way that the first lens-surface and the tenth lens-surface are formed as an aspherical surface wherein the conic constant K.sub.1 and K.sub.10 of the aspherical surfaces satisfy the following conditions.
-0.04<K.sub.1 <-0.01 (15-1)
-0.1<K.sub.10 <-0.03 (15-2)
In the event in which the first and the tenth lens-surfaces are aspherical as this embodiment, the aspherical surface of the first lens-surface which satisfies the condition (15-1) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof and the aspherical surface of the tenth lens-surface which satisfies the condition (15-2) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof. Also, in this case, the coma flare is minimized when the conditions (15-1) and (15-2) are satisfied.
Three examples (Examples 43 to 45) of this embodiment 15 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 43
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 19.763 6.029 1 1.81600 46.622 119.022 2.397 2 1.84666 23.893 44.056 0.1004 16.271 3.456 3 1.84666 23.895 10.708 11.9066 -9.425 2.537 4 1.84666 23.897 -12.983 0.1008 -122.993 1.429 5 1.84666 23.899 120.723 5.378 6 1.81600 46.6210* -19.791 27.96011 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.026887,A.sub.4 =-1.31320E-6,A.sub.6 =2.08190E-9 A.sub.8 =-2.94016E-11,A.sub.10 =2.19630E-14
The aspherical surface is applied to the tenth lens-surface.
K=-0.075049,A.sub.4 =3.24280E-6,A.sub.6 =-9.563330E-9, A.sub.8 =1.14013E-10,A.sub.10 =-2.10650E-13
EXAMPLE 44
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 17.990 5.615 1 1.72916 54.682 107.615 1.000 2 1.78472 25.713 46.543 0.1004 16.109 4.278 3 1.8466 23.895 10.328 12.046 -8.885 2.744 4 1.74077 27.797 -12.654 0.1008 -138.272 1.000 5 1.68893 31.089 70.457 6.579 6 1.72916 54.6810* -18.857 26.57111 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.030353,A.sub.4 =-1.78960E-6,A.sub.6 =4.13597E-9 A.sub.8 =-6.21596E-11,A.sub.10 =4.11230E-14
The aspherical surface is applied to the tenth lens-surface.
K=-0.099744,A.sub.4 =4.90100E-6,A.sub.6 =-1.17977E-8, A.sub.8 =1.59978E-10,A.sub.10 =-2.52440E-13
EXAMPLE 45
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________ 1* 19.446 6.824 1 1.81600 46.622 133.444 2.244 2 1.81597 24.743 38.06 0.1004 14.797 2.691 3 1.84700 23.905 10.395 10.6636 -9.235 2.041 4 1.84700 23.907 -12.170 0.1008 -86.640 1.945 5 1.81639 24.739 103.205 5.181 6 1.82512 44.6210* -20.118 28.90411 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the first lens-surface.
K=-0.018088,A.sub.4 =-8.42250E-7,A.sub.6 =1.13202E-9, A.sub.8 =-9.25894E-12,A.sub.10 =-3.46440E-14
The aspherical surface is applied to the tenth lens-surface.
K=-0.034427,A.sub.4 =1.43120E-6,A.sub.6 =-4.64287E-9, A.sub.8 =3.09905E-11,A.sub.10 =-3.58020E-14
FIGS. 44, 45 and 46 represent the aberration curves of the examples 43, 44 and 45, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 16
The reading lens in accordance with this embodiment is arranged in such a way that the third lens-surface and the fifth lens-surface are formed as an aspherical surface wherein the conic constant K.sub.3 and K.sub.5 of the aspherical surfaces satisfy the following conditions.
0.01<K.sub.3 <0.15 (16-1)
0.01<K.sub.5 <0.06 (16-2)
In the event in which the third and the fifth lens-surfaces are aspherical as this embodiment, the aspherical surface of the third lens-surface which satisfies the condition (16-1) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof and the aspherical lens surface of the fifth lens-surface which satisfies the condition (16-2) also represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof. Also, in this case, the coma flare is minimized when the conditions (16-1) and (16-2) are satisfied.
Three examples (Examples 46 to 48) of this embodiment 16 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 46
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.938 7.512 1 1.81600 46.622 90.981 2.975 2 1.84666 23.89 3* 39.535 0.1004 17.819 2.734 3 1.84666 23.89 5* 11.440 9.9476 -8.743 2.043 4 1.84666 23.897 -11.192 0.1008 -110.116 2.322 5 1.84666 23.899 121.095 5.382 6 1.81600 46.6210 -20.874 26.63911 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the third lens-surface.
K=0.014692,A.sub.4 =5.41435E-8,A.sub.6 =1.34380E-9, A.sub.8 =2.26825E-10,A.sub.10 =-5.76743E-13
The aspherical surface is applied to the fifth lens-surface.
K=0.054226,A.sub.4 =1.13197E-5,A.sub.6 =4.32462E-8, A.sub.8 =8.48211E-10,A.sub.10 =-6.32821E-11
EXAMPLE 47
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.221 6.722 1 1.72916 54.682 81.984 3.083 2 1.78472 25.71 3* 42.237 0.1004 17.517 3.440 3 1.84666 23.89 5* 11.326 9.6386 -8.455 2.519 4 1.74077 27.797 -11.193 0.1008 -132.986 1.000 5 1.68893 31.089 62.563 5.543 6 1.72916 54.6810 -20.507 26.47311 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the third lens-surface.
K=0.144502,A.sub.4 =3.62575E-7,A.sub.6 =1.50066E-9, A.sub.8 =1.99823E-10,A.sub.10 =-4.09608E-13
The aspherical surface is applied to the fifth lens-surface.
K=0.048302,A.sub.4 =1.05777E-5,A.sub.6 =3.15461E-8, A.sub.8 =1.12625E-10,A.sub.10 =-8.09483E-11
EXAMPLE 48
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.079 7.275 1 1.81600 46.622 112.387 2.474 2 1.83356 24.25 3* 35.756 0.4264 14.850 2.413 3 1.84700 23.90 5* 10.566 10.0136 -8.570 1.901 4 1.84700 23.907 -10.905 0.3988 -88.369 2.127 5 1.82319 24.539 111.874 5.451 6 1.81802 46.1410 -20.584 27.20511 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the third lens-surface.
K=0.046746,A.sub.4 =1.51931E-7,A.sub.6 =1.68787E-9, A.sub.8 =6.75386E-11,A.sub.10 =3.78550E-13
The aspherical surface is applied to the fifth lens-surface.
K=0.015008,A.sub.4 =3.96724E-6,A.sub.6 =2.94250E-8, A.sub.8 =-3.50047E-10,A.sub.10 =-5.23492E-11
FIGS. 47, 48 and 49 represent the aberration curves of the examples 46, 47 and 48, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 17
The reading lens in accordance with this embodiment is arranged in such a way that the third lens-surface and the fourth lens-surface are formed as an aspherical surface wherein the conic constant K.sub.3 and K.sub.4 of the aspherical surfaces satisfy the following conditions.
0.04<K.sub.3 <0.45 (17-1)
-0.07<K.sub.4 <-0.005 (17-2)
In the event in which the third and the fourth lens-surfaces are aspherical as this embodiment, the aspherical surface of the third lens surface which satisfies the condition (17-1) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof and the aspherical lens surface of the fourth-lens surface which satisfies the condition (17-2) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof. Also, in this case, the coma flare is minimized when the conditions (17-1) and (17-2) are satisfied.
Three examples (Examples 49 to 51) of this embodiment 17 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 49
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.182 7.526 1 1.81600 46.622 97.062 2.986 2 1.84666 23.89 3* 39.594 0.100 4* 16.478 2.569 3 1.84666 23.895 10.971 10.1266 -8.805 2.099 4 1.84666 23.897 -11.302 0.1008 -109.810 2.171 5 1.84666 23.899 121.500 5.292 6 1.81600 46.6210 -20.939 26.70411 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the third lens-surface.
K=0.141786,A.sub.4 =4.22518E-7,A.sub.6 =5.67333E-9, A.sub.8 =1.93463E-10,A.sub.10 =-1.88519E-13
The aspherical surface is applied to the fourth lens-surface.
K=0.065006,A.sub.4 =-4.96803E-6,A.sub.6 =9.95590E-9, A.sub.8 =1.20542E-11,A.sub.10 =5.65280E-12
EXAMPLE 50
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.447 6.706 1 1.72916 54.682 88.776 3.119 2 1.78472 25.71 3* 44.440 0.100 4* 16.766 3.346 3 1.84666 23.895 10.932 9.7546 -8.587 2.570 4 1.74077 27.797 -11.378 0.1008 -139.506 1.000 5 1.68893 31.089 61.711 5.498 6 1.72916 54.6810 -20.729 26.34911 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the third lens-surface.
K=0.429091,A.sub.4 =9.59661E-7,A.sub.6 =1.46103E-8, A.sub.8 =2.54603E-10,A.sub.10 =-7.61938E-13
The aspherical surface is applied to the fourth lens-surface.
K=-0.052498,A.sub.4 =-4.48434E-6,A.sub.6 =2.47330E-8, A.sub.8 =1.81893E-10,A.sub.10 =5.49511E-12
EXAMPLE 51
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.063 7.098 1 1.81600 46.602 115.497 2.223 2 1.84316 24.00 3* 34.754 0.475 4* 13.579 2.336 3 1.84700 23.905 10.023 10.3116 -8.488 1.878 4 1.83824 24.137 -10.765 0.4388 -86.003 2.182 5 1.84068 24.069 131.107 5.532 6 1.81690 46.3910 -20.536 27.04511 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the third lens-surface.
K=0.041769,A.sub.4 =1.43347E-7,A.sub.6 =1.00566E-9, A.sub.8 =2.56045E-11,A.sub.10 =3.04923E-13
The aspherical surface is applied to the fourth lens-surface.
K=-0.005284,A.sub.4 =-7.20731E-7,A.sub.6 =3.30973E-9, A.sub.8 =1.14995E-10,A.sub.10 =2.56502E-12
FIGS. 50, 51 and 52 represent the aberration curves of the examples 49, 50 and 51, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 18
The reading lens in accordance with this embodiment is arranged in such a way that the third lens-surface and the tenth lens-surface are formed as an aspherical surface wherein the conic constant K.sub.3 and K.sub.10 of the aspherical surfaces satisfy the following conditions.
0.06<K.sub.3 <1.3 (18-1)
-0.065<K.sub.10 <-0.008 (18-2)
In the event in which the third and the tenth lens surfaces are aspherical as this embodiment, the aspherical surface of the third lens-surface which satisfies the condition (18-1) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof or a hyperboloidal surface and the aspherical lens surface of the tenth lens surface which satisfies the condition (18-2) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides or to the minor axis thereof. Also, in this case, the coma flare is minimized when the conditions (18-1) and (18-2) are satisfied.
Three examples (Examples 52 to 54) of this embodiment 18 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 52
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.620 7.059 1 1.81600 46.622 108.907 2.632 2 1.84666 23.89 3* 40.802 0.1004 16.176 2.899 3 1.84666 23.895 10.994 10.4026 -9.265 2.360 4 1.84666 23.897 -12.442 0.1008 -141.098 2.410 5 1.84666 23.899 108.753 5.388 6 1.81600 46.6210* -21.031 27.02311 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the third lens-surface.
K=0.760176,A.sub.4 =2.28114E-6,A.sub.6 =-1.11753E-8, A.sub.8 =-3.87600E-11,A.sub.10 =7.21837E-13
The aspherical surface is applied to the tenth lens-surface.
K=-0.050494,A.sub.4 =2.15463E-6,A.sub.6 =-6.94992E-9, A.sub.8 =4.70402E-11,A.sub.10 =-7.40005E-14
EXAMPLE 53
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.501 6.268 1 1.72916 54.682 99.258 2.740 2 1.78472 25.71 3* 44.620 0.1004 16.216 3.533 3 1.84666 23.895 10.832 10.3176 -8.941 2.890 4 1.74077 27.797 -12.478 0.1008 -196.753 1.000 5 1.68893 31.089 57.919 6.122 6 1.72916 54.6810* -20.707 25.96711 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the third lens-surface.
K=1.210521,A.sub.4 =2.86512E-6,A.sub.6 =-1.04323E-8, A.sub.8 =-4.92375E-11,A.sub.10 =7.13514E-13
The aspherical surface is applied to the tenth lens-surface.
K=-0.059681,A.sub.4 =2.63116E-6,A.sub.6 =-6.99761E-9, A.sub.8 =6.26243E-11,A.sub.10 =-9.35823E-14
EXAMPLE 54
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.082 7.041 1 1.81600 46.602 114.666 2.157 2 1.84312 24.00 3* 34.722 0.3964 13.444 2.326 3 1.84700 23.905 9.973 10.2646 -8.678 1.883 4 1.84433 23.977 -11.083 0.3878 -87.129 2.206 5 1.83899 24.119 131.837 5.550 6 1.81808 46.1310* -20.550 27.34111 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the third lens-surface.
K=0.063843,A.sub.4 =2.43121E-7,A.sub.6 =-2.31338E-9, A.sub.8 =-1.33121E-11,A.sub.10 =2.43194E-13
The aspherical surface is applied to the tenth lens-surface.
K=-0.008317,A.sub.4 =3.77233E-7,A.sub.6 =-9.46070E-10, A.sub.8 =-2.05265E-12,A.sub.10 =-3.37376E-16
FIGS. 53, 54 and 55 represent the aberration curves of the examples 52, 53 and 54, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 19
The reading lens in accordance with this embodiment is arranged in such a way that the fourth lens-surface and the sixth-lens surface are formed as an aspherical surface wherein the conic constant K.sub.4 and K.sub.6 of the aspherical surfaces satisfy the following conditions.
-0.07<K.sub.4 <-0.005 (19-1)
-0.08<K.sub.6 <-0.008 (19-2)
In the event in which the fourth and the sixth lens surfaces are aspherical as this embodiment, the aspherical surface of the fourth-lens surface which satisfies the condition (19-1) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof and the aspherical lens surface of the sixth lens-surface which satisfies the condition (19-2) also represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof. Also, in this case, the coma flare is minimized when the conditions (19-1) and (19-2) are satisfied.
Three examples (Examples 55 to 57) of this embodiment 19 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 55
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.189 7.127 1 1.81600 46.622 107.801 2.314 2 1.84666 23.893 35.850 0.241 4* 13.549 2.336 3 1.84666 23.895 9.982 10.076 6* -9.059 1.987 4 1.84666 23.897 -11.704 0.3038 -85.839 2.264 5 1.84666 23.899 199.991 5.600 6 1.81600 46.6210 -20.392 27.40211 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fourth lens-surface.
K=-0.006985,A.sub.4 =-8.70244E-7,A.sub.6 =6.70807E-9,A.sub.8 =8.14270E-11,A.sub.10 =-2.27282E-12
The aspherical surface is applied to the sixth lens-surface.
K=0.003408,A.sub.4 =-5.39522E-6,A.sub.6 =1.33757E-8,A.sub.8 =-7.73716E-10,A.sub.10 =-7.68430E-12
EXAMPLE 56
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.502 5.596 1 1.72916 54.682 110.031 1.996 2 1.78472 25.713 44.010 0.100 4* 14.516 3.330 3 1.84666 23.895 10.120 9.890 6* -9.913 3.028 4 1.74077 27.797 -13.696 0.1008 -133.748 1.000 5 1.68893 31.089 77.290 5.283 6 1.72916 54.6810 -21.353 27.80611 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fourth lens-surface.
K=-0.016907,A.sub.4 =-1.58692E-6,A.sub.6 =-9.84751E-9,A.sub.8 =2.59646E-10,A.sub.10 =-3.43233E-12
The aspherical surface is applied to the sixth lens-surface.
K=-0.006914,A.sub.4 =-1.08449E-5,A.sub.6 =1.26257E-7,A.sub.8 =-4.61022E-9,A.sub.10 =4.68973E-11
EXAMPLE 57
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.476 6.657 1 1.81600 46.602 136.781 1.981 2 1.79302 25.453 39.624 0.100 4* 15.943 2.876 3 1.84700 23.905 10.819 9.753 6* -10.645 2.292 4 1.84700 23.907 -14.515 0.1008 -86.300 1.526 5 1.79578 25.369 85.752 4.882 6 1.83500 42.7010 -20.658 28.78611 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fourth lens-surface.
K=-0.045443,A.sub.4 =-3.56915E-6,A.sub.6 =-1.26981E-8,A.sub.8 1.63937E-10,A.sub.10 =-3.04759E-12
The aspherical surface is applied to the sixth lens-surface.
K=0.002306,A.sub.4 =-8.61933E-6,A.sub.6 =5.71006E-8,A.sub.8 =-2.89816E-9,A.sub.10 =3.14123E-11
FIGS. 56, 57 and 58 represent the aberration curves of the examples 55, 56 and 57, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 20
The reading lens in accordance with this embodiment is arranged in such a way that the fourth lens-surface and the seventh lens-surface are formed as an aspherical surface wherein the conic constant K.sub.4 and K.sub.7 of the aspherical surfaces satisfy the following conditions.
-0.06<K.sub.4 <-0.015 (20-1)
-0.013<K.sub.7 <0 (20-2)
In the event in which the fourth and the seventh lens-surfaces are aspherical as this embodiment, the aspherical surface of the fourth lens-surface which satisfies the condition (20-1) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof and the aspherical surface of the seventh lens-surface which satisfies the condition (20-2) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof or to the minor axis thereof. Also, in this case, the coma flare is minimized when the conditions (20-1) and (20-2) are satisfied.
Three examples (Examples 58 to 60) of this embodiment 20 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 58
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.642 6.636 1 1.81600 46.622 113.553 2.288 2 1.84666 23.893 41.837 0.100 4* 16.243 3.050 3 1.84666 23.895 11.011 10.3686 -9.843 2.580 4 1.84666 23.89 7* -13.354 0.1008 -116.491 1.691 5 1.84666 23.899 158.692 4.770 6 1.81600 46.6210 -20.934 27.78711 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fourth lens-surface.
K=-0.036686,A.sub.4 =-2.88158E-6,A.sub.6 =-8.07566E-9,A.sub.8 =3.97835E-11,A.sub.10 =-1.95659E-12
The aspherical surface is applied to the seventh lens-surface.
K=-0.004991,A.sub.4 =5.49047E-6,A.sub.6 =-4.71493E-8,A.sub.8 =1.01960E-9,A.sub.10 =-3.91207E-12
EXAMPLE 59
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.178 4.803 1 1.72916 54.682 109.538 1.272 2 1.78472 25.713 45.590 0.100 4* 15.334 3.850 3 1.84666 23.895 10.363 10.2396 -10.178 3.186 4 1.74077 27.79 7* -14.274 0.1008 -176.476 1.000 5 1.68893 31.089 77.144 5.171 6 1.72916 54.6810 -22.216 27.84611 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fourth lens-surface.
K=-0.016945,A.sub.4 =-1.39906E-6,A.sub.6 =-1.87671E-8,A.sub.8 =2.77907E-10,A.sub.10 =-2.70287E-12
The aspherical surface is applied to the seventh lens surface.
K=0.000458,A.sub.4 =6.70937E-6,A.sub.6 =-7.10084E-8,A.sub.8 =1.23191E-9,A.sub.10 =-6.02898E-12
EXAMPLE 60
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.403 6.300 1 1.81600 46.602 138.210 1.728 2 1.77622 26.023 40.787 0.100 4* 17.105 3.184 3 1.84700 23.905 11.224 10.0846 -10.624 2.411 4 1.84700 23.90 7* -14.625 0.1008 -91.884 1.034 5 1.79461 25.409 82.505 4.936 6 1.83500 42.7010 -20.791 28.87111 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fourth lens-surface.
K=-0.055108,A.sub.4 =-3.86205E-6, A.sub.6 =-1.64787E-8, A.sub.8 =1.32954E-10, A.sub.10 =-2.29872E-12
The aspherical surface is applied to the seventh lens-surface.
K=-0.012391,A.sub.4 =5.70612E-6,A.sub.6 =-4.10811E-8, A.sub.8 =9.18516E-10,A.sub.10 =-4.99304E-12
FIGS. 59, 60 and 61 represent the aberration curves of the examples 58, 59 and 60, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 21
The reading lens in accordance with this embodiment is arranged in such a way that the fourth lens-surface and the eighth lens-surface are formed as an aspherical surface wherein the conic constant K.sub.4 and K.sub.8 of the aspherical surfaces satisfy the following conditions.
-0.07<K.sub.4 <-0.015 (21-1)
3<K.sub.8 <14 (21-2)
In the event in which the fourth and the eighth lens-surfaces are aspherical as this embodiment, the aspherical surface of the fourth lens-surface which satisfies the condition (21-1) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof and the aspherical surface of the eighth lens-surface which satisfies the condition (21-2) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof. Also, in this case, the coma flare is minimized when the conditions (21-1) and (21-2) are satisfied.
Three examples (Examples 61 to 63) of this embodiment 21 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 61
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.207 7.200 1 1.81600 46.622 105.166 2.423 2 1.84666 23.893 36.428 0.248 4* 13.868 2.341 3 1.84666 23.895 10.076 10.1216 -9.021 2.028 4 1.84666 23.897 -11.658 0.146 8* -90.122 2.227 5 1.84666 23.899 178.173 5.532 6 1.81600 46.6210 -20.484 27.39011 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fourth lens-surface.
K=-0.017135,A.sub.4 =-1.85147E-6,A.sub.6 =3.56325E-9, A.sub.8 =7.12655E-11, A.sub.10 =-3.22025E-12
The aspherical surface is applied to the eighth lens-surface.
K=3.481316,A.sub.4 =-7.35258E-7,A.sub.6 =5.12661E-9, A.sub.8 =8.60239E-12,A.sub.10 =7.77872E-15
EXAMPLE 62
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.433 6.416 1 1.72916 54.682 98.943 2.611 2 1.78472 25.713 40.864 0.100 4* 14.143 3.002 3 1.84666 23.895 9.993 10.2186 -9.139 2.732 4 1.74077 27.797 -12.450 0.100 8* -118.620 1.000 5 1.68893 31.089 73.106 5.720 6 1.72916 54.6810 -20.181 26.80011 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fourth lens-surface.
K=-0.025593,A.sub.4 =-2.57314E-6,A.sub.6 =-3.09492E-9, A.sub.8 =7.36530E-11,A.sub.10 =-3.83370E-12
The aspherical surface is applied to the eighth lens-surface.
K=13.663905,A.sub.4 =-1.96136E-6,A.sub.6 =8.14017E-9, A.sub.8 =-3.98388E-12,A.sub.10 =-1.90745E-14
EXAMPLE 63
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.303 7.106 1 1.81600 46.602 122.733 2.392 2 1.80299 25.133 39.214 0.100 4* 16.083 2.735 3 1.84700 23.905 10.777 10.1076 -9.982 2.133 4 1.84700 23.907 -13.304 0.100 8* -87.603 1.724 5 1.78277 25.799 78.887 5.146 6 1.82981 43.6810 -20.508 27.74711 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fourth lens-surface.
K=-0.063935,A.sub.4 =-4.80398E-6, A.sub.6 =-1.37707E-8, A.sub.8 =8.14848E-11,A.sub.10 =-3.20387E-12
The aspherical surface is applied to the eighth lens-surface.
K=8.485037,A.sub.4 =-1.88648E-6,A.sub.6 =1.41590E-8, A.sub.8 =-2.54793E-11,A.sub.10 =6.45001E-14
FIGS. 62, 63 and 64 represent the aberration curves of the examples 61, 62 and 63, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 22
The reading lens in accordance with this embodiment is arranged in such a way that the third lens-surface and the seventh lens-surface are formed as an aspherical surface wherein the conic constant K.sub.3 and K.sub.7 of the aspherical surfaces satisfy the following conditions.
0.03<K.sub.3 <1.6 (22-1)
-0.02<K.sub.7 <0.01 (22-2)
In the event in which the third and the seventh lens-surfaces are aspherical as this embodiment, the aspherical surface of the third lens-surface which satisfies the condition (22-1) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof and the aspherical lens surface of the seventh lens-surface which satisfies the condition (22-2) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof or to the minor axis thereof. Also, in this case, the coma flare is minimized when the conditions (22-1) and (22-2) are satisfied.
Three examples (Examples 64 to 66) of this embodiment 22 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 64
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.100 7.078 1 1.81600 46.622 106.567 2.221 2 1.84666 23.89 3* 34.975 0.3914 13.420 2.333 3 1.84666 23.895 9.961 10.2506 -8.701 1.913 4 1.84666 23.89 7* -11.126 0.4158 -86.690 2.268 5 1.84666 23.899 175.664 5.620 6 1.81600 46.6210 -20.471 27.09911 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the third lens-surface.
K=0.049941,A.sub.4 =1.90123E-7,A.sub.6 =-1.80318E-9, A.sub.8 =-8.85395E-12,A.sub.10 =2.18204E-13
The aspherical surface is applied to the seventh lens-surface.
K=-0.003627,A.sub.4 =2.08008E-6,A.sub.6 =-7.45899E-9, A.sub.8 =9.03218E-11,A.sub.10 =2.23502E-12
EXAMPLE 65
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.076 5.777 1 1.72916 54.682 96.989 2.467 2 1.78472 25.71 3* 46.063 0.1004 17.021 3.738 3 1.84666 23.895 11.080 10.0516 -9.214 3.024 4 1.74077 27.79 7* -12.870 0.1008 -224.899 1.000 5 1.68893 31.089 62.509 5.798 6 1.72916 54.6810 -21.775 26.02811 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the third lens-surface.
K=1.441772,A.sub.4 =3.21264E-6,A.sub.6 =-1.00346E-8, A.sub.8 =-5.65401E-11,A.sub.10 =6.80639E-13
The aspherical surface is applied to the seventh lens-surface.
K=0.001046,A.sub.4 =7.54201E-6, A.sub.6 =-7.76313E-8, A.sub.8 =1.44243E-9,A.sub.10 =-3.16283E-12
EXAMPLE 66
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.472 6.917 1 1.81600 46.602 138.738 2.257 2 1.80306 25.13 3* 38.432 0.1004 15.562 2.784 3 1.84700 23.905 10.784 9.8276 -9.904 2.149 4 1.84700 23.99 7* -13.391 0.1008 -99.262 2.177 5 1.80758 24.999 90.038 5.414 6 1.82866 43.9110 -20.730 27.95011 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the third lens-surface.
K=0.640355,A.sub.4 =2.04058E-6,A.sub.6 =-1.10226E-8, A.sub.8 =-9.86561E-11,A.sub.10 =1.31621E-12
The aspherical surface is applied to the seventh lens-surface.
K=-0.014549,A.sub.4 =5.67421E-6,A.sub.6 =-2.14190E-8, A.sub.8 =7.41180E-10,A.sub.10 =-2.73448E-12
FIGS. 65, 66 and 67 represent the aberration curves of the examples 64, 65 and 66, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 23
The reading lens in accordance with this embodiment is arranged in such a way that the third lens-surface and the eighth lens-surface are formed as an aspherical surface wherein the conic constant K.sub.3 and K.sub.8 of the aspherical surfaces satisfy the following conditions.
0.14<K.sub.3 <0.65 (23-1)
2.1<K.sub.8 <9.8 (23-2)
In the event in which the third and the eighth lens-surfaces are aspherical as this embodiment, the aspherical surface of the third lens-surface which satisfies the condition (23-1) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof and the aspherical lens surface of the eighth lens-surface which satisfies the condition (23-2) also represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof. Also, in this case, the coma flare is minimized when the conditions (23-1) and (23-2) are satisfied.
Three examples (Examples 67 to 69) of this embodiment 23 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 67
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.272 7.169 1 1.81600 46.622 106.754 2.389 2 1.84666 23.89 3* 36.422 0.3024 13.763 2.346 3 1.84666 23.895 10.051 10.0286 -8.947 2.006 4 1.84666 23.897 -11.554 0.223 8* -92.732 2.287 5 1.84666 23.899 165.714 5.590 6 1.81600 46.6210 -20.605 28.57211 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the third lens-surface.
K=0.244687,A.sub.4 =8.58630E-7,A.sub.6 =-6.74626E-9, A.sub.8 =-4.41147E-11,A.sub.10 =7.18050E-13
The aspherical surface is applied to the eighth lens-surface.
K=3.636485,A.sub.4 =-7.47760E-7,A.sub.6 =5.39439E-9, A.sub.8 =7.69728E-12,A.sub.10 =1.17800E-14
EXAMPLE 68
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.150 7.072 1 1.81600 46.602 115.568 2.212 2 1.84001 24.08 3* 35.289 0.3644 13.519 2.319 3 1.84700 23.905 9.961 10.0916 -8.904 1.920 4 1.84700 23.907 -11.439 0.324 8* -87.428 2.198 5 1.83128 24.319 123.148 5.524 6 1.81963 45.7910 -20.584 28.71511 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the third lens-surface.
K=0.148534,A.sub.4 =5.44880E-7,A.sub.6 =-4.46336E-9, A.sub.8 =-3.08116E-11,A.sub.10 =4.69510E-13
The aspherical surface is applied to the eighth lens-surface.
K=2.192532,A.sub.4 =-4.61660E-7,A.sub.6 =3.37438E-9, A.sub.8 =1.00874E-11,A.sub.10 =2.93553E-14
EXAMPLE 69
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.552 2.661 1 1.72916 54.682 97.280 0.100 2 1.78472 25.71 3* 40.372 1.0004 14.149 5.667 3 1.84666 23.895 10.096 10.0336 -8.902 6.508 4 1.74077 27.797 -12.030 2.718 8* -120.239 0.100 5 1.68893 31.089 68.426 2.905 6 1.72916 54.6810 -20.378 28.26511 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the third lens-surface.
K=0.606360,A.sub.4 =1.56700E-6,A.sub.6 =-8.87205E-9, A.sub.8 =-7.15108E-11,A.sub.10 =1.03180E-12
The aspherical surface is applied to the eighth lens-surface.
K=9.710604,A.sub.4 =-1.33760E-6,A.sub.6 =6.51084E-9, A.sub.8 =-5.34907E-12,A.sub.10 =1.91580E-14
FIGS. 68, 69 and 70 represent the aberration curves of the examples 49, 50 and 51, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 24
The reading lens in accordance with this embodiment is arranged in such a way that the sixth lens-surface and the seventh lens-surface are formed as an aspherical surface wherein the conic constant K.sub.6 and K.sub.7 of the aspherical surfaces satisfy the following conditions.
0.0<K.sub.6 <0.004 (24-1)
-0.008<K.sub.7 <-0.003 (24-2)
In the event in which the sixth and the seventh lens-surfaces are aspherical as this embodiment, the aspherical surface of the sixth lens-surface which satisfies the condition (24-1) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof and the aspherical lens surface of the seventh lens-surface which satisfies the condition (24-2) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof. Also, in this case, the coma flare is minimized when the conditions (24-1) and (24-2) are satisfied.
Three examples (Examples 70 to 72) of this embodiment 24 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 70
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.164 7.074 1 1.81600 46.622 109.122 2.229 2 1.84666 23.893 35.275 0.2704 13.354 2.356 3 1.84666 23.895 9.923 10.179 6* -8.958 1.950 4 1.84666 23.89 7* -11.563 0.4068 -86.486 2.308 5 1.84666 23.899 195.539 5.657 6 1.81600 46.6210 -20.386 28.38111 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the sixth lens-surface.
K=0.001431,A.sub.4 =-3.64280E-6,A.sub.6 =1.28349E-8, A.sub.8 =-4.91953E-10,A.sub.10 =2.13780E-12
The aspherical surface is applied to the seventh lens-surface.
K=-0.003178,A.sub.4 =1.79000E-6,A.sub.6 =-9.66198E-9, A.sub.8 =1.98000E-10,A.sub.10 =2.95790E-12
EXAMPLE 71
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.873 6.167 1 1.72916 54.682 116.599 2.319 2 1.78472 25.713 40.833 0.1004 13.298 2.918 3 1.84666 23.895 9.763 10.192 6* -9.403 2.768 4 1.74077 27.79 7* -12.964 0.1008 -99.699 1.000 5 1.68893 31.089 86.995 5.581 6 1.72916 54.6810 -19.782 28.85311 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the sixth lens-surface.
K=0.000370,A.sub.4 =-8.37370E-6,A.sub.6 =1.36348E-8, A.sub.8 =-1.38903E-9,A.sub.10 =5.63380E-11
The aspherical surface is applied to the seventh lens-surface.
K=-0.003190,A.sub.4 =2.20100E-6,A.sub.6 =-1.86949E-8, A.sub.8 =5.73854E-10,A.sub.10 =4.04140E-12
EXAMPLE 72
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.670 6.848 1 1.81600 46.602 138.378 2.054 2 1.83195 24.293 37.237 0.1004 13.726 2.643 3 1.84700 23.905 10.061 10.093 6* -10.030 2.183 4 1.84700 23.90 7* -13.597 0.1008 -92.487 2.408 5 1.81605 24.749 118.396 5.680 6 1.82240 45.1910 -20.381 29.16711 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the sixth lens-surface.
K=0.002945,A.sub.4 =-7.96870E-6,A.sub.6 =1.93752E-8, A.sub.8 =-1.81827E-9,A.sub.10 =5.09500E-11
The aspherical surface is applied to the seventh lens-surface.
K=-0.007394,A.sub.4 =3.02040E-6,A.sub.6 =-1.87387E-8, A.sub.8 =7.64002E-10,A.sub.10 =2.86630E-12
FIGS. 71, 72 and 73 represent the aberration curves of the examples 70, 71 and 72, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 25
The reading lens in accordance with this embodiment is arranged in such a way that the seventh lens-surface and the tenth lens-surface are formed as an aspherical surface wherein the conic constant K.sub.7 and K.sub.10 of the aspherical surfaces satisfy the following conditions.
-0.065<K.sub.7 <0.0 (25-1)
-0.0085<K.sub.10 <0.0045 (25-2)
In the event in which the seventh and the tenth lens-surfaces are aspherical as this embodiment, the aspherical surface of the seventh lens-surface which satisfies the condition (25-1) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof and the aspherical lens surface of the tenth lens-surface which satisfies the condition (25-2) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof or to the minor axis thereof. Also, in this case, the coma flare is minimized when the conditions (25-1) and (25-2) are satisfied.
Three examples (Examples 73 to 75) of this embodiment 25 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 73
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.124 7.056 1 1.81600 46.622 109.004 2.189 2 1.84666 23.893 34.942 0.3654 13.210 2.334 3 1.84666 23.895 9.850 10.2786 -8.787 1.918 4 1.84666 23.89 7* -11.275 0.4488 -86.248 2.295 5 1.84666 23.899 182.973 5.649 6 1.81600 46.6210* -20.402 27.09911 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the seventh lens-surface.
K=-0.003578,A.sub.4 =2.24682E-6,A.sub.6 =-3.61065E-9, A.sub.8 =8.83588E-11,A.sub.10 =4.11251E-13
The aspherical surface is applied to the tenth lens-surface.
K=-0.004164,A.sub.4 =1.63465E-7,A.sub.6 =-3.85131E-10 A.sub.8 =4.62027E-12,A.sub.10 =1.98425E-14
EXAMPLE 74
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.151 5.762 1 1.72916 54.682 119.161 1.763 2 1.78472 25.713 44.562 0.1004 13.176 3.196 3 1.84666 23.895 9.449 10.4896 -10.848 3.561 4 1.74077 27.79 7* -16.559 0.1008 -146.457 1.000 5 1.68893 31.089 81.221 5.971 6 1.72916 54.6810* -19.532 28.36711 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the seventh lens-surface.
K=-0.058301,A.sub.4 =1.29324E-5,A.sub.6 =-4.07523E-8, A.sub.8 =6.08806E-10,A.sub.10 =7.34871E-12
The aspherical surface is applied to the tenth lens-surface.
K=0.003711,A.sub.4 =-3.45880E-7,A.sub.6 =-1.72019E-9, A.sub.8 =1.20527E-10,A.sub.10 =1.02839E-13
EXAMPLE 75
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 20.066 6.798 1 1.81600 46.602 143.122 1.952 2 1.83028 24.343 38.755 0.1004 13.442 2.694 3 1.84700 23.905 9.829 10.3776 -10.769 2.450 4 1.84700 23.90 7* -15.223 0.1008 -99.397 2.477 5 1.78691 25.659 102.561 5.712 6 1.81977 45.7510* -20.143 28.41011 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the seventh lens-surface.
K=-0.037968,A.sub.4 =9.25355E-6,A.sub.6 =-1.74783E-8, A.sub.8 =6.62639E-10,A.sub.10 =-8.97527E-12
The aspherical surface is applied to the tenth lens-surface.
K=-0.007783,A.sub.4 =4.07081E-7,A.sub.6 =-3.64396E-9, A.sub.8 =6.16320E-11,A.sub.10 =1.17530E-13
FIGS. 74, 75 and 76 represent the aberration curves of the examples 73, 74 and 75, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 26
The reading lens in accordance with this embodiment is arranged in such a way that the fourth lens-surface and the fifth lens-surface are formed as an aspherical surface wherein the conic constant K.sub.4 and K.sub.5 of the aspherical surfaces satisfy the following conditions.
-0.05<K.sub.4 <0.0 (26-1)
0.0<K.sub.5 <0.03 (26-2)
In the event in which the fourth and the fifth lens-surfaces are aspherical as this embodiment, the aspherical surface of the fourth lens-surface which satisfies the condition (26-1) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof and the aspherical surface of the fifth lens-surface which satisfies the condition (26-2) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof. Also, in this case, the coma flare is minimized when the conditions (26-1) and (26-2) are satisfied.
Three examples (Examples 76 to 78) of this embodiment 20 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 76
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.046 7.551 1 1.81600 46.622 93.121 2.979 2 1.84666 23.893 39.678 0.166 4* 17.394 2.626 3 1.84666 23.89 5* 11.326 9.9366 -8.628 2.021 4 1.84666 23.897 -11.045 0.1008 -106.856 2.264 5 1.84666 23.899 124.633 5.395 6 1.81600 46.6210 -20.757 26.66711 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fourth lens-surface.
K=-0.041853,A.sub.4 =-2.67591E-6,A.sub.6 =6.54582E-9, A.sub.8 =-4.53012E-10,A.sub.10 =-7.96081E-12
The aspherical surface is applied to the fifth lens-surface.
K=0.025492,A.sub.4 =5.60604E-6,A.sub.6 =5.41652E-8, A.sub.8 =-2.96158E-11,A.sub.10 =-1.32509E-10
EXAMPLE 77
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.248 6.745 1 1.72916 54.682 82.092 3.043 2 1.78472 25.713 42.144 0.100 4* 17.038 3.297 3 1.84666 23.89 5* 11.170 9.7226 -8.401 2.499 4 1.74077 27.797 -11.109 0.1008 -127.247 1.000 5 1.68893 31.089 63.803 5.476 6 1.72916 54.6810 -20.455 26.53911 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fourth lens-surface.
K=-0.034230,A.sub.4 =-2.34438E-6,A.sub.6 =2.61863E-9, A.sub.8 =-3.38785E-10,A.sub.10 =-8.02220E-12
The aspherical surface is applied to the fifth lens-surface.
K=0.023637,A.sub.4 =5.64922E-6,A.sub.6 =5.91132E-8, A.sub.8 =-8.64913E-10,A.sub.10 =-1.64031E-10
EXAMPLE 78
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.073 7.226 1 1.81600 46.602 112.217 2.406 2 1.83485 24.213 35.559 0.402 4* 14.608 2.398 3 1.84700 23.90 5* 10.473 10.2056 -8.552 1.902 4 1.84700 23.907 -10.868 0.3388 -87.390 2.107 5 1.82891 24.389 115.106 5.435 6 1.81847 46.0410 -20.569 27.10011 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fourth lens-surface.
K=-0.010867,A.sub.4 =-9.32056E-7,A.sub.6 =-1.57828E-9, A.sub.8 =-2.40019E-10,A.sub.10 =-7.85481E-12
The aspherical surface is applied to the fifth lens-surface.
K=0.008758,A.sub.4 =2.70342E-6,A.sub.6 =8.33841E-9, A.sub.8 =-1.18136E-9,A.sub.10 =-6.47271E-11
FIGS. 77, 78 and 79 represent the aberration curves of the examples 76, 77 and 78, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 27
The reading lens in accordance with this embodiment is arranged in such a way that the fifth lens-surface and the tenth lens-surface are formed as an aspherical surface wherein the conic constant K.sub.5 and K.sub.10 of the aspherical surfaces satisfy the following conditions.
0.0<K.sub.5 <0.0234 (27-1)
-0.0577<K.sub.10 <0.0 (27-2)
In the event in which the fifth and the tenth lens-surfaces are aspherical as this embodiment, the aspherical surface of the fifth lens-surface which satisfies the condition (27-1) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof and the aspherical surface of the tenth lens-surface which satisfies the condition (21-2) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof. Also, in this case, the coma flare is minimized when the conditions (27-1) and (27-2) are satisfied.
Three examples (Examples 79 to 81) of this embodiment 27 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 79
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.956 6.368 1 1.81600 46.622 114.185 2.016 2 1.84666 23.893 41.764 0.1004 16.202 3.304 3 1.84666 23.89 5* 11.050 10.8276 -9.962 2.724 4 1.84666 23.897 -13.600 0.1008 -136.593 1.586 5 1.84666 23.899 118.474 4.798 6 1.81600 46.6210* -21.270 28.03711 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fifth lens-surface.
K=0.021229,A.sub.4 =4.42128E-6,A.sub.6 =5.25264E-8, A.sub.8 =-1.11641E-9,A.sub.10 =3.29450E-11
The aspherical surface is applied to the tenth lens-surface.
K=-0.052434,A.sub.4 =2.26624E-6,A.sub.6 =-9.42767E-9, A.sub.8 =6.61839E-11,A.sub.10 =-1.47251E-13
EXAMPLE 80
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 18.776 5.920 1 1.72916 54.682 105.635 2.206 2 1.78472 25.713 41.421 0.1004 14.265 3.171 3 1.84666 23.89 5* 10.219 10.2226 -9.228 2.788 4 1.74077 27.797 -12.643 0.1008 -128.400 1.000 5 1.68893 31.089 69.461 5.488 6 1.72916 54.6810* -20.696 27.81111 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fifth lens-surface.
K=0.007367,A.sub.4 =2.10350E-6,A.sub.6 =6.70922E-9, A.sub.8 =-1.73856E-9,A.sub.10 =3.48093E-11
The aspherical surface is applied to the tenth lens-surface.
K=-0.037805,A.sub.4 =1.64953E-6,A.sub.6 =-4.20483E-9, A.sub.8 =2.42853E-11,A.sub.10 =-6.97238E-14
EXAMPLE 81
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.094 7.030 1 1.81600 46.602 112.988 2.143 2 1.84383 23.983 34.773 0.3654 13.451 2.327 3 1.84700 23.90 5* 9.970 10.1716 -8.765 1.887 4 1.83693 24.167 -11.218 0.3818 -86.648 2.185 5 1.83795 24.139 132.868 5.528 6 1.81834 46.0710* -20.548 27.53511 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the fifth lens-surface.
K=0.003293,A.sub.4 =1.16906E-6,A.sub.6 =-1.54676E-8, A.sub.8 =-4.61742E-10,A.sub.10 =7.43398E-12
The aspherical surface is applied to the tenth lens-surface.
K=-0.007910,A.sub.4 =3.68268E-7,A.sub.6 =-9.54707E-10, A.sub.8 =-2.60274E-12,A.sub.10 =-9.36492E-15
FIGS. 80, 81 and 82 represent the aberration curves of the examples 79, 80 and 81, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 28
The reading lens in accordance with this embodiment is arranged in such a way that the seventh lens-surface and the eighth lens-surface are formed as an aspherical surface wherein the conic constant K.sub.7 and K.sub.8 of the aspherical surfaces satisfy the following conditions.
-0.04<K.sub.7 <-0.01 (28-1)
3.0<K.sub.8 <12.0 (28-2)
In the event in which the seventh and the eighth lens-surfaces are aspherical as this embodiment, the aspherical surface of the seventh lens-surface which satisfies the condition (28-1) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof and the aspherical surface of the eighth lens-surface which satisfies the condition (28-2) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof. Also, in this case, the coma flare is minimized when the conditions (28-1) and (28-2) are satisfied.
Three examples (Examples 82 to 84) of this embodiment 28 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 82
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.721 7.033 1 1.81600 46.622 123.644 2.248 2 1.84666 23.893 37.921 0.1004 13.270 2.528 3 1.84666 23.895 9.777 10.1406 -9.972 2.277 4 1.84666 23.89 7* -13.597 0.163 8* -99.449 2.432 5 1.84666 23.899 212.254 5.753 6 1.81600 46.6210 -20.142 28.83211 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the seventh lens-surface.
K=-0.016895,A.sub.4 =7.22440E-6,A.sub.6 =-4.25001E-8, A.sub.8 =1.83357E-10,A.sub.10 =-9.10720E-13
The aspherical surface is applied to the eighth lens-surface.
K=3.453284,A.sub.4 =-6.16150E-7,A.sub.6 =-1.02581E-8, A.sub.8 =-9.20626E-11,A.sub.10 =8.49010E-13
EXAMPLE 83
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.151 5.999 1 1.72916 54.682 122.201 2.059 2 1.78472 25.713 43.545 0.1004 13.125 3.038 3 1.84666 23.895 9.516 10.2766 -10.185 3.109 4 1.74077 27.79 7* -14.788 0.100 8* -117.284 1.000 5 1.68893 31.089 90.416 5.773 6 1.72916 54.6810 -19.473 29.28511 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the seventh lens-surface.
K=-0.019076,A.sub.4 =8.00200E-6,A.sub.6 =-6.17111E-8, A.sub.8 =9.31325E-11,A.sub.10 =-1.38310E-12
The aspherical surface is applied to the eighth lens-surface.
K=11.504993,A.sub.4 =-1.50660E-6,A.sub.6 =-1.66300E-8, A.sub.8 =-1.15246E-10,A.sub.10 =9.63470E-13
EXAMPLE 84
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 20.154 6.809 1 1.81600 46.602 142.983 1.986 2 1.83321 24.263 38.918 0.1004 13.585 2.715 3 1.84700 23.905 9.929 10.2696 -10.626 2.446 4 1.84700 23.90 7* -14.966 0.100 8* -100.480 2.242 5 1.79016 25.549 118.795 5.573 6 1.81963 45.7910 -20.103 29.56411 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the seventh lens-surface.
K=-0.030037,A.sub.4 =8.62790E-6,A.sub.6 =-4.95073E-8, A.sub.8 =2.57278E-10,A.sub.10 =-2.26130E-12
The aspherical surface is applied to the eighth lens-surface.
K=4.422731,A.sub.4 =-7.67970E-7,A.sub.6 =-1.47281E-8,A.sub.8 =-1.34642E-10,A.sub.10 =1.05020E-12
FIGS. 83, 84 and 85 represent the aberration curves of the examples 82, 83 and 84, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 29
The reading lens in accordance with this embodiment is arranged in such a way that the eighth lens-surface and the tenth lens-surface are formed as an aspherical surface wherein the conic constant K.sub.8 and K.sub.10 of the aspherical surfaces satisfy the following conditions.
0.9<K.sub.8 <20.0 (29-1)
-0.04<K.sub.10 <0.0 (29-2)
In the event in which the eighth and the tenth lens-surfaces are aspherical as this embodiment, the aspherical surface of the eighth lens-surface which satisfies the condition (29-1) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof and the aspherical surface of the tenth lens-surface which satisfies the condition (29-2) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof. Also, in this case, the coma flare is minimized when the conditions (29-1) and (29-2) are satisfied.
Three examples (Examples 85 to 87) of this embodiment 29 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 85
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.177 7.050 1 1.81600 46.622 109.628 2.194 2 1.84666 23.893 35.145 0.3294 13.236 2.337 3 1.84666 23.895 9.863 10.2726 -8.791 1.923 4 1.84666 23.897 -11.287 0.386 8* -87.953 2.284 5 1.84666 23.899 178.235 5.628 6 1.81600 46.6210* -20.483 27.22311 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the eighth lens-surface.
K=1.699649,A.sub.4 =-3.52644E-7,A.sub.6 =5.95386E-10 A.sub.8 =-1.52788E-12,A.sub.10 =1.05899E-13
The aspherical surface is applied to the tenth lens-surface.
K=-0.010017,A.sub.4 =4.96471E-7,A.sub.6 =-1.89235E-9, A.sub.8 =-2.34710E-12,A.sub.10 =3.64297E-14
EXAMPLE 86
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.108 5.946 1 1.72916 54.682 122.696 2.043 2 1.78472 25.713 42.758 0.1004 13.441 3.115 3 1.84666 23.895 9.744 10.4086 -9.642 2.858 4 1.74077 27.797 -13.545 0.100 8* -115.595 1.000 5 1.68893 31.089 82.515 5.692 6 1.72916 54.6810* -19.815 27.97111 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the eighth lens-surface.
K=18.302181,A.sub.4 =-2.64416E-6,A.sub.6 =5.47168E-9, A.sub.8 =1.23761E-11,A.sub.10 =5.67434E-13
The aspherical surface is applied to the tenth lens-surface.
K=-0.023854,A.sub.4 =1.74573E-6,A.sub.6 =-1.37818E-8, A.sub.8 =1.01485E-11,A.sub.10 =4.24066E-13
EXAMPLE 87
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 20.180 6.765 1 1.81600 46.602 133.962 1.892 2 1.83899 24.113 38.742 0.1004 13.778 2.746 3 1.84700 23.905 10.067 10.4196 -10.154 2.209 4 1.84700 23.907 -13.859 0.100 8* -93.882 2.191 5 1.78937 25.579 95.067 5.388 6 1.82274 45.1910* -20.316 28.69911 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the eighth lens-surface.
K=10.542519,A.sub.4 =-2.08168E-6,A.sub.6 =5.05388E-9, A.sub.8 =6.92412E-12,A.sub.10 =8.64832E-13
The aspherical surface is applied to the tenth lens-surface.
K=-0.033960,A.sub.4 =1.98952E-6,A.sub.6 =-1.33608E-8, A.sub.8 =8.78627E-12,A.sub.10 =4.08485E-13
FIGS. 86, 87, and 88 represent the aberration curves of the examples 85, 86 and 87, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
EMBODIMENT 30
The reading lens in accordance with this embodiment is arranged in such a way that the sixth lens-surface and the tenth lens-surface are formed as an aspherical surface wherein the conic constant K.sub.6 and K.sub.10 of the aspherical surfaces satisfy the following conditions.
0.0<K.sub.6 <0.0255 (30-1)
-0.0086<K.sub.10 <0.0014 (30-2)
In the event in which the sixth and the tenth lens-surfaces are aspherical as this embodiment, the aspherical surface of the sixth lens-surface which satisfies the condition (30-1) represents an elliptic surface of revolution which is symmetric with respect to the minor axis thereof and the aspherical surface of the tenth lens-surface which satisfies the condition (30-2) represents an elliptic surface of revolution which is symmetric with respect to the line of apsides thereof or the minor axis thereof. Also, in this case, the coma flare is minimized when the conditions (30-1) and (30-2) are satisfied.
Three examples (Examples 88 to 90) of this embodiment 30 are represented below in table forms numerically specifying the lens factors. The structure of the lens is the same as that of the embodiment 1.
EXAMPLE 88
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.109 7.054 1 1.81600 46.622 108.746 2.183 2 1.84666 23.893 34.857 0.4014 13.185 2.324 3 1.84666 23.895 9.837 10.277 6* -8.757 1.915 4 1.84666 23.897 -11.211 0.4628 -85.264 2.289 5 1.84666 23.899 180.635 5.645 6 1.81600 46.6210* -20.398 27.07611 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the sixth lens-surface.
K=0.002157,A.sub.4 =-3.48432E-6,A.sub.6 =1.83188E-9, A.sub.8 =-3.67833E-10,A.sub.10 =-4.08177E-12
The aspherical surface is applied to the tenth lens-surface.
K=-0.004193,A.sub.4 =1.74326E-7,A.sub.6 =-4.90269E-10A.sub.8 =3.14068E-12,A.sub.10 =2.19955E-14
EXAMPLE 89
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.064 5.988 1 1.72916 54.682 117.160 2.101 2 1.78472 25.713 43.094 0.1004 13.184 3.094 3 1.84666 23.895 9.515 10.304 6* -10.558 3.314 4 1.74077 27.797 -15.515 0.1008 -104.164 1.000 5 1.68893 31.089 86.842 5.998 6 1.72916 54.6810* -19.111 28.03711 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the sixth lens-surface.
K=0.023181,A.sub.4 =-2.26235E-5,A.sub.6 =1.21559E-8, A.sub.8 =-4.49105E-9,A.sub.10 =5.09494E-11
The aspherical surface is applied to the tenth lens-surface.
K=0.001269,A.sub.4 =8.51319E-9,A.sub.6 =-3.04630E-9, A.sub.8 =8.54878E-11,A.sub.10 =1.48194E-14
EXAMPLE 90
______________________________________F = 43, F.sub.NO = 3.0, 2.omega. = 40, m = 0.1102i r.sub.i d.sub.i j n.sub.j .nu..sub.j______________________________________1 19.344 7.026 1 1.81600 46.602 125.931 2.175 2 1.83789 24.133 36.003 0.1004 13.278 2.442 3 1.84700 23.905 9.806 10.121 6* -9.753 2.055 4 1.84700 23.907 -12.973 0.3298 -86.779 2.449 5 1.81669 24.729 123.550 5.732 6 1.82082 45.5310* -20.250 27.65311 .infin. 0.700 7 1.51633 64.1512 .infin.______________________________________
The aspherical surface is applied to the sixth lens-surface.
K=0.007559,A.sub.4 =-9.41485E-6,A.sub.6 =-1.34254E-8, A.sub.8 =-1.63958E-9,A.sub.10 =1.76908E-11
The aspherical surface is applied to the tenth lens-surface.
K=-0.007788,A.sub.4 =3.42452E-7,A.sub.6 =-1.45934E-9, A.sub.8 =2.07325E-11,A.sub.10 =4.28030E-14
FIGS. 89, 90 and 91 represent the aberration curves of the examples 88, 89 and 90, respectively, in the same way as the graphs of FIGS. 2 to 4 of the embodiment 1, mentioned before. The graphs show that the aberrations are fully compensated for.
Many widely different embodiments of the present invention may be constructed without departing from the spirit and scope of the present invention. It should be understood that the present invention is not limited to the specific embodiments described in the specification, except as defined in the appended claims.

Number	Date	Country
1-223664	Aug 1989	JPX
1-225086	Aug 1989	JPX
1-295797	Nov 1989	JPX
1-330097	Dec 1989	JPX
1-341976	Dec 1989	JPX

Number	Name	Date
3459468	Marx et al.	Aug 1969
3817599	McCrobic	Jun 1974
4711536	Kouchiwa	Dec 1987
4753522	Nishima	Jun 1988
4902114	Arai	Feb 1990
5040884	Kanoshima	Aug 1991

Reading lens for scanner

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