Taking lens device

Information

  • Patent Grant
  • 6721106
  • Patent Number
    6,721,106
  • Date Filed
    Wednesday, March 28, 2001
    23 years ago
  • Date Issued
    Tuesday, April 13, 2004
    20 years ago
Abstract
A optical device has a zoom lens system that is comprised of a plurality of lens units and that achieves zooming by varying unit-to-unit distances and an image sensor that converts an optical image formed by the zoom lens system into an electrical signal. The zoom lens system is comprised of, from the object side, a first lens unit having a negative optical power, a second lens unit having a negative optical power, a third lens unit having a positive optical power, and a fourth lens unit having a positive optical power. The zoom lens system achieves zooming by varying the distances between the first to fourth lens units.
Description




This application is based on Japanese Patent Applications Nos. 2000-95247 and 2000-368343, filed on Mar. 29, 2000 and Dec. 4, 2000, respectively, the contents of which are hereby incorporated by reference.




BACKGROUND OF THE INVENTION




1. Field of the Invention




The present invention relates to an optical device, or a taking lens device. More specifically, the present invention relates to a taking lens device that optically takes in an image of a subject through an optical system and that then outputs the image as an electrical signal, for example, a taking lens device that is used as a main component of a digital still camera, a digital video camera, or a camera that is incorporated in or externally fitted to a device such as a digital video unit, a personal computer, a mobile computer, a portable telephone, or a personal digital assistant (PDA). The present invention relates particularly to a taking lens device which is provided with a compact, high-zoom-ratio zoom lens system.




2. Description of Prior Art




In recent years, as personal computers and other data processing devices have become more and more popular, digital still cameras, digital video cameras, and the like (hereinafter collectively referred to as digital cameras) have been coming into increasingly wide use. Personal users are using these digital cameras as handy devices that permit easy acquisition of image data to be fed to digital devices. As image data input devices, digital cameras are expected to continue gaining popularity.




In general, the image quality of a digital camera depends on the number of pixels in the solid-state image sensor, such as a CCD (charge-coupled device), which is incorporated therein. Nowadays, many digital cameras which are designed for general consumers, boast of high resolution of over a million pixels, and are thus approaching silver-halide film cameras in image quality. On the other hand, even in digital cameras designed for general consumers, zoom capability (especially optical zoom capability with minimal image degradation) is desired, and therefore, in recent years, there has been an increasing demand for zoom lenses for digital cameras that offer both a high zoom ratio and high image quality.




However, conventional zoom lenses for digital cameras that offer high image quality of over a million pixels are usually built as relatively large lens systems. One way to avoid this inconvenience is to use, as zoom lenses for digital cameras, zoom lenses which were originally designed for lens-shutter cameras in which remarkable miniaturization and zoom ratio enhancement have been achieved in recent years. However, if a zoom lens designed for a lens-shutter camera is used unchanged in a digital camera, it is not possible to make good use of the light-condensing ability of the microlenses disposed on the front surface of the solid-state image sensor. This causes severe unevenness in brightness between a central portion and a peripheral portion of the captured image. The reason is that in a lens-shutter camera, the exit pupil of the taking lens system is located near the image plane, and therefore off-axial rays exiting from the taking lens system strike the image plane from oblique directions. This can be avoided by locating the exit pupil away from the image plane, but not without making the taking lens system larger.




SUMMARY OF THE INVENTION




An object of the present invention is to provide an optical, or a taking lens device, which is provided with a novel zoom lens system that, despite being compact, offers both a high zoom ratio and high image quality.




To achieve this object, according to one aspect of the present invention, an optical, or taking lens device is provided with: a zoom lens system that is comprised of a plurality of lens units which achieves zooming by varying the unit-to-unit distances; and an image sensor that converts an optical image formed by the zoom lens system into an electrical signal. The zoom lens system comprises at least, from the object side thereof to an image side thereof, a first lens unit having a negative optical power, a second lens unit having a negative optical power, a third lens unit having a positive optical power, and a fourth lens unit having a positive optical power. The zoom lens system achieves zooming by varying the distances between the first to fourth lens units.




According to another aspect of the present invention, an optical, or taking lens device is provided with: a zoom lens system that is comprised of a plurality of lens units which achieves zooming by varying the unit-to-unit distances; and an image sensor that converts an optical image formed by the zoom lens system into an electrical signal. The zoom lens system is comprised of, at least from the object side, a first lens unit having a negative optical power, a second lens unit having a negative optical power, and a third lens unit having a positive optical power. The first lens unit comprises a single lens element.











BRIEF DESCRIPTION OF THE DRAWINGS




This and other objects and features of the present invention will become clear from the following description, taken in conjunction with the preferred embodiments with reference to the accompanying drawings in which:





FIG. 1

is a lens arrangement diagram of a first embodiment (Example 1) of the invention;





FIG. 2

is a lens arrangement diagram of a second embodiment (Example 2) of the invention;





FIG. 3

is a lens arrangement diagram of a third embodiment (Example 3) of the invention;





FIG. 4

is a lens arrangement diagram of a fourth embodiment (Example 4) of the invention,





FIG. 5

is a lens arrangement diagram of a fifth embodiment (Example 5) of the invention;





FIG. 6

is a lens arrangement diagram of a sixth embodiment (Example 6) of the invention;





FIG. 7

is a lens arrangement diagram of a seventh embodiment (Example 7) of the invention;





FIG. 8

is a lens arrangement diagram of an eighth embodiment (Example 8) of the invention;





FIG. 9

is a lens arrangement diagram of a ninth embodiment (Example 9) of the invention;





FIGS. 10A

to


10


I are aberration diagrams of Example 1;





FIGS. 11A

to


11


I are aberration diagrams of Example 2;





FIGS. 12A

to


12


I are aberration diagrams of Example 3;





FIGS. 13A

to


13


I are aberration diagrams of Example 4;





FIGS. 14A

to


14


I are aberration diagrams of Example 5;





FIGS. 15A

to


15


I are aberration diagrams of Example 6;





FIGS. 16A

to


16


I are aberration diagrams of Example 7;





FIGS. 17A

to


17


I are aberration diagrams of Example 8;





FIGS. 18A

to


18


I are aberration diagrams of Example 9;





FIG. 19

is a diagram schematically illustrating the outline of the optical construction of a taking lens device embodying the invention; and





FIG. 20

is a diagram schematically illustrating the outline of a construction of an embodiment of the invention that could be used in a digital camera.











DESCRIPTION OF THE PREFERRED EMBODIMENTS




Hereinafter, optical or taking lens devices embodying the present invention will be described with reference to the drawings and the optical or taking lens device will be referred to as a taking lens device. A taking lens device optically takes in an image of a subject through an optical system and then outputs the image as an electrical signal. A taking lens device is used as a main component of a camera which is employed to shoot a still or a moving picture of a subject, for example, a digital still camera, a digital video camera, or a camera that is incorporated in or externally fitted to a device such as a digital video unit, a personal computer, a mobile computer, a portable telephone, or a personal digital assistant (PDA). A digital camera also includes a memory to store the image from the image sensor. The memory may be removable, for example, a disk, or the memory may be permanently fixed in the camera.

FIG. 19

shows a taking lens device comprising, from the object (subject) side, a taking lens system TL that forms an optical image of a subject, a plane-parallel plate PL that functions as an optical low-pass filter or the like, and an image sensor SR that converts the optical image formed by the taking lens system TL into an electrical signal.

FIG. 20

shows a zoom lens system ZL, an optical low-pass filter PL, an image sensor SR, processing circuits PC that would include any electronics needed to process the image, and a memory EM that could be used in a digital camera.




In all the embodiments described hereinafter, the taking lens system TL is built as a zoom lens system comprising a plurality of lens units wherein zooming is achieved by moving two or more lens units along the optical axis AX in such a way that their unit-to-unit distances vary. The image sensor SR is realized, for example, with a solid-state image sensor such as a CCD or CMOS (complementary metal-oxide semiconductor) sensor having a plurality of pixels and, by this image sensor SR, the optical image formed by the zoom lens system is converted into an electrical signal. The optical image formed by the zoom lens system has its spatial frequency characteristics adjusted by being passed through the low-pass filter PL that has predetermined cut-off frequency characteristics that are determined by the pixel pitch of the image sensor SR. This helps minimize so-called aliasing noise that appears when the optical image is converted into an electrical signal. The signal produced by the image sensor SR is subjected, as required, to predetermined digital image processing, image compression, and other processing, and is then recorded as a digital image signal in a memory (such as a semiconductor memory or an optical disk) or, if required, transmitted to another device by way of a cable or after being converted into an infrared signal.





FIGS. 1

to


9


are lens arrangement diagrams of the zoom lens system used in a first to a ninth embodiment, respectively, of the present invention, each showing the lens arrangement at the wide-angle end W in an optical sectional view. In each lens arrangement diagram, an arrow mj (where j=1, 2, . . . ) schematically indicates the movement of the j-th lens unit Grj (where j=1, 2, . . . ) and others during zooming from the wide-angle end W to the telephoto end T. Moreover, in each lens arrangement diagram, ri (where i=1, 2, 3, . . . ) indicates the i-th surface from the object side, and a surface ri marked with an asterisk (*) is an aspherical surface. Di (where i=1, 2, 3, . . . ) indicates the i-th axial distance from the object side, though only those which vary with zooming, called variable distances, are shown here.




In all the embodiments, the zoom lens system comprises at least, from the object side, a first lens unit Gr


1


having a negative optical power, a second lens unit Gr


2


having a negative optical power, and a third lens unit Gr


3


having a positive optical power, and achieves zooming by varying the distances between these lens units. In addition, designed for a camera (for example, a digital camera) provided with a solid-state image sensor (for example, a CCD), the zoom lens system also has a glass plane-parallel plate PL, which functions as an optical low-pass filter, disposed on the image-plane side thereof. In all of the embodiments, the first lens unit Gr


1


and the glass plane-parallel plate PL are kept stationary during zooming, and the third lens unit Gr


3


includes an aperture stop ST at the object-side end thereof.




In the first to the eighth embodiments, the zoom lens system is built as a four-unit zoom lens of a negative-negative-positive-positive configuration. In the ninth embodiment, the zoom lens system is built as a three-unit zoom lens of a negative-negative-positive configuration. In the first to the fifth embodiments, during zooming from the wide-angle end W to the telephoto end T, the second lens unit Gr


2


first moves toward the image side and then makes a U-turn to go on to move toward the object side, the third lens unit Gr


3


moves toward the object side, and the fourth lens unit Gr


4


moves toward the image side. In the sixth to the eighth embodiments, during zooming from the wide-angle end W to the telephoto end T, the second lens unit Gr


2


first moves toward the image side and then makes a U-turn to go on to move toward the object side, and the third lens unit Gr


3


moves toward the object side, but the fourth lens unit Gr


4


, i.e. the last lens unit, remains stationary together with the glass plane-parallel plate PL. In the ninth embodiment, during zooming from the wide-angle end W to the telephoto end T, the second lens unit Gr


2


first moves toward the image side and then makes a U-turn to go on to move toward the object side, and the third lens unit Gr


3


moves toward the object side.




In all of the embodiments, the first and second lens units Gr


1


, Gr


2


are given negative optical powers. This makes it easy to build a retrofocus-type arrangement. In a digital camera, the taking lens system TL needs to be telecentric toward the image side and, by building a retrofocus-type arrangement with the negatively-powered first and second lens units Gr


1


, Gr


2


, it is possible to make the entire optical system telecentric easily. Moreover, by distributing the negative optical power needed in a retrofocus-type arrangement between the two lens units Gr


1


, Gr


2


, it is possible to keep the first lens unit Gr


1


stationary during zooming. Keeping the first lens unit Gr


1


stationary is advantageous in terms of lens barrel design, so that it is possible to simplify the lens barrel construction and thereby reduce the cost of the zoom lens system.




In the first, the second, and the sixth to the ninth embodiments, the first lens unit Gr


1


comprises a single lens element. By comprising the first lens unit Gr


1


as a single lens element, it is possible to reduce the cost of the zoom lens system by reducing the number of its constituent lens element. Moreover, comprising the first lens unit Gr


1


out of a single lens element helps increase flexibility in the design of lens barrels so that it is possible to simplify the lens barrel construction and thereby reduce the cost of the zoom lens system. On the other hand, in the third to the fifth embodiments, the first lens unit Gr


1


comprises two lens elements. This makes correction of relative decentered aberration possible and is thus advantageous in terms of optical performance.




In all of the embodiments, it is preferable that the zoom lens system, starting with either a negative-negative-positive or a negative-negative-positive-positive configuration, fulfill the conditions described one by one below. Needless to say, those conditions may be fulfilled singly to achieve the effects and advantages associated with the respective conditions fulfilled, but fulfilling as many of them as possible is further preferable in terms of optical performance, miniaturization, and other aspects.




It is preferable that conditional formula (1) below be fulfilled.






0.5


<f


1


/f


2<5  (1)






wherein




f1 represents the focal length of the first lens unit Gr


1


; and




f2 represents the focal length of the second lens unit Gr


2


.




Conditional formula (1) defines the preferable ratio of the focal length of the first lens unit Gr


1


to that of the second lens unit Gr


2


. If the lower limit of conditional formula (1) were to be transgressed, the focal length of the first lens unit Gr


1


would be too short. This would cause such a large distortion (especially a negative distortion on the wide-angle side) that it would be impossible to secure satisfactory optical performance. By contrast, if the upper limit of conditional formula (1) would be transgressed, the focal length of the first lens unit Gr


1


would be too long. This would make the negative optical power of the first lens unit Gr


1


so weak that the first lens unit Gr


1


would need to be made larger in diameter, which is undesirable in terms of miniaturization.




It is preferable that conditional formula (2) below be fulfilled.






1.5


<|f


12


/fw


|<4  (2)






where




f12 represents the composite focal length of the first and second lens units Gr


1


, Gr


2


at the wide-angle end W; and




fw represents the focal length of the entire optical system at the wide-angle end W.




Conditional formula (2) defines the preferable condition to be fulfilled by the composite focal length of the first and second lens units Gr


1


, Gr


2


at the wide-angle end W. If the upper limit of conditional formula (2) were to be transgressed, the composite focal length of the first and second lens units Gr


1


, Gr


2


would be too long, and thus the total length of the entire optical system would be too long. Moreover, the composite negative power of the first and second lens units Gr


1


, Gr


2


would be so weak that these lens units would need to be made larger in external diameter. Thus, it would be impossible to make the zoom lens system compact. By contrast, if the lower limit of conditional formula (2) were to be transgressed, the composite focal length of the first and second lens units Gr


1


, Gr


2


would be too short. This would cause such a large negative distortion in the first and second lens units Gr


1


, Gr


2


at the wide-angle end W that it would be difficult to correct the distortion.




It is preferable that conditional formula (3) below be fulfilled, and it is further preferably fulfilled together with conditional formula (2) noted previously.






0.058<(tan ω


w


)


2




×fw/TLw<


0.9  (3)






where




tan ωw represents the half view angle at the wide-angle end W;




fw represents the focal length of the entire optical system at the wide-angle end W; and




TLw represents the total length (i.e. the distance from the first vertex to the image plane) at the wide-angle end W.




Conditional formula (3) defines the preferable relation between the view angle and the total length at the wide-angle end W. If the upper limit of conditional formula (3) were to be transgressed, the optical power of the individual lens units would be too strong, and thus it would be difficult to correct the aberration that occurs therein. By contrast, if the lower limit of conditional formula (3) were to be transgressed, the total length would be too long, which is undesirable in terms of miniaturization.




It is preferable that conditional formula (4) below be fulfilled, and it is further preferably fulfilled together with conditional formula (2) noted previously.






10


<TLw×Fnt


/(


fw


×tan ω


w


)<50  (4)






where




TLw represents the total length (i.e., the distance from the first vertex to the image plane) at the wide-angle end W;




Fnt represents the f-number (FNO) at the telephoto end T;




fw represents the focal length of the entire optical system at the wide-angle end W; and




tan ωw represents the half view angle at the wide-angle end W.




Conditional formula (4) defines the preferable relation between the total length at the wide-angle end W and the f-number at the telephoto end T. If the upper limit of conditional formula (4) were to be transgressed, the total length at the wide-angle end W would be too long, which is undesirable in terms of miniaturization. By contrast, if the lower limit of conditional formula (4) were to be transgressed, the f-number at the telephoto end T would be too low, and thus it would be difficult to correct the spherical aberration that would occur in the third lens unit Gr


3


in that zoom position.




It is preferable that the third lens unit Gr


3


comprises, as in the first to the fifth and the ninth embodiments, of at least two positive lens elements and one negative lens element. Moreover, it is further preferable that, as in all of the embodiments, the third lens unit Gr


3


have an aspherical surface at the image-side end thereof. Let the maximum effective optical path radius of an aspherical surface be Ymax, and let the height in a direction perpendicular to the optical axis be Y. Then, it is preferable that the aspherical surface disposed at the image-side end of the third lens unit Gr


3


fulfill conditional formula (5) below at Y=0.7Ymax, and further preferably for any height Y in the range 0.1Ymax≦Y≦0.7Ymax.






−0.6<(|


X|−X


0|)/[


C


0·(


N′−N





f


3]<0  (5)






where




X represents the surface shape (mm) of the aspherical surface (i.e. the displacement along the optical axis at the height Y in a direction perpendicular to the optical axis of the aspherical surface);




X0 represents the surface shape (mm) of the reference spherical surface of the aspherical surface (i.e. the displacement along the optical axis at the height Y in a direction perpendicular to the optical axis of the reference spherical surface);




C0 represents the curvature (mm


−1


) of the reference spherical surface of the aspherical surface;




N represents the refractive index for the d-line of the object-side medium of the aspherical surface;




N′ represents the refractive index for the d-line of the image-side medium of the aspherical surface; and




f3 represents the focal length (mm) of the third lens unit Gr


3


.




Here, the surface shape X of the aspherical surface, and the surface shape X0 of its reference spherical surface are respectively given by formulae (AS) and (RE) below.








X


=(


C





Y




2


)/(


1+{square root over (1−ε·


C





0





2





·Y





2


)})+Σ(




Ai·Y




i


)   (AS)










X


0=(


C





Y




2


)/(


1+{square root over (1−


C





0





2





·Y





2


)}


  (RE)






where




C0 represents the curvature (mm


−1


) of the reference spherical surface of the aspherical surface;




Y represents the height in a direction perpendicular to the optical axis;




ε represents the quadric surface parameter; and




Ai represents the aspherical surface coefficient of order i.




Conditional formula (5) dictates that the aspherical surface be so shaped as to weaken the positive power within the third lens unit Gr


3


, and thus defines the preferable condition to be fulfilled to ensure proper correction of spherical aberration from the middle-focal-length region M to the telephoto end T. If the upper limit of conditional formula (5) were to be transgressed, spherical aberration would incline too much toward the under side. By contrast, if the lower limit of conditional formula (5) were to be transgressed, spherical aberration would incline too much toward the over side.




It is preferable that, as in all of the embodiments, the zoom unit disposed closest to the image plane have a positive power, and it is preferable that the zoom unit having this positive power comprises at least one positive lens element. In cases, as in the first, the fourth, and the sixth to the eighth embodiments, where this zoom unit having the above-mentioned positive power comprises a single positive lens element, it is preferable that this positive lens element fulfill conditional formula (6) below.






0.05<(


CR


1


−CR


2)/(


CR


1


+CR


2)<5  (6)






where




CR1 represents the radius of curvature of the object-side surface; and




CR2 represents the radius of curvature of the image-side surface.




Conditional formula (6) defines the preferable shape of the positive lens element included in the zoom unit disposed closest to the image plane. If the upper limit of conditional formula (6) were to be transgressed, the surface of this positive lens element facing the object would be highly concave, and therefore, to avoid interference with the lens unit disposed on the object side of that surface, it would be necessary to secure a wide gap in between. This is undesirable in terms of miniaturization. By contrast, if the lower limit of conditional formula (6) were to be transgressed, the positive optical power of the object-side surface of the positive lens element would be so strong that it would be difficult to correct the aberration that would be caused by that surface.




It is preferable that the first to third lens units Gr


1


to Gr


3


fulfill conditional formula (7) below.






0.4


<|f


12


/f


3|<1.5  (7)






where




f12 represents the composite focal length of the first and second lens units Gr


1


, Gr


2


, at the wide-angle end W; and




f3 represents the focal length (mm) of the third lens unit Gr


3


.




Conditional formula (7) defines the preferable ratio of the composite focal length of the first and second lens units Gr


1


, Gr


2


to the focal length of the third lens unit Gr


3


. If the upper limit of conditional formula (7) were to be transgressed, the composite focal length of the first and second lens units Gr


1


, Gr


2


would be relatively too long. Thus, if the upper limit of conditional formula (7) were to be transgressed, the exit pupil would be located closer to the image plane, and this is not desirable. As described earlier, in a digital still camera or the like, the use of a CCD and other factors require that rays striking the image plane be telecentric, and therefore it is preferable that the exit pupil be located closer to the object. By contrast, if the lower limit of conditional formula (7) were to be transgressed, the composite focal length of the first and second lens units Gr


1


, Gr


2


would be relatively too short. Thus, if the lower limit of conditional formula (7) were to be transgressed, it would be difficult to correct the negative distortion that would occur in the first and second lens units Gr


1


, Gr


2


.




In all of the illustrated embodiments, all of the lens units are comprised solely of refractive lenses that deflect light incident thereon by refraction (i.e. lenses of the type that deflect light at the interface between two media having different refractive indices). However, any of these lens units may include, for example, a diffractive lens that deflects light incident thereon by diffraction, a refractive-diffractive hybrid lens that deflects light incident thereon by the combined effects of refraction and diffraction, a gradient-index lens that deflects light incident thereon with varying refractive indices distributed in a medium, or a lens of any other type.




In any of the embodiments, a surface having no optical power (for example, a reflective, refractive, or diffractive surface) may be disposed in the optical path so that the optical path is bent before, after, or in the midst of the zoom lens system. Where to bend the optical path may be determined to suit particular needs. By bending the optical path appropriately, it is possible to make a camera apparently slimmer. It is even possible to build an arrangement in which zooming or the collapsing movement of a lens barrel does not cause any change in the thickness of a camera. For example, by disposing a mirror after the first lens unit Gr


1


, which is kept stationary during zooming, so that the optical path is bent by 90° by the reflecting surface of the mirror, it is possible to keep the front-to-rear length of the zoom lens system constant and thereby make a camera slimmer.




In all of the embodiments, an optical low-pass filter having the shape of a plane-parallel plate PL is disposed between the last surface of the zoom lens system and the image sensor SR. However, as this low-pass filter, it is also possible to use a birefringence-type low-pass filter made of quartz or the like having its crystal axis aligned with a predetermined direction, a phase-type low-pass filter that achieves the required optical cut-off frequency characteristics by exploiting diffraction, or a low-pass filter of any other type.




PRACTICAL EXAMPLES




Hereinafter, practical examples of the construction of the zoom lens system used in taking lens devices embodying the present invention will be presented in more detail with reference to their construction data, aberration diagrams, and other data. Examples 1 to 9 presented below correspond respectively to the first to ninth embodiments described hereinbefore, and the lens arrangement diagrams (

FIGS. 1

to


9


) showing the lens arrangement of the first to the ninth embodiments apply also to Examples 1 to 9, respectively.




Tables 1 to 9 list the construction data of Examples 1 to 9, respectively. In the construction data of each example, ri (i=1, 2, 3, . . . ) represents the radius of curvature (mm) of the i-th surface from the object side, di (i=1, 2, 3, . . . ) represents the i-th axial distance (mm) from the object side, and Ni (i=1, 2, 3, . . . ) and νi (i=1, 2, 3, . . . ) respectively represent the refractive index (Nd) for the d-line and the Abbe number (νd) of the i-th optical element from the object side. A surface whose radius of curvature ri is marked with an asterisk (*) is an aspherical surface, of which the surface shape is defined by formula (AS) noted earlier. Moreover, in the construction data, for each of those axial distances that vary with zooming (i.e. variable aerial distances), three values are given that are, from left, the axial distance at the wide-angle end W (the shortest-focal-length end), the axial distance in the middle position M (the middle-focal-length position), and the axial distance at the telephoto end T (the longest-focal-length end). Also listed are the focal length f, (in mm), the f-number FNO, and the view angle (2ω, °) of the entire optical system in those three focal-length positions W, M, and T, and the aspherical surface data. Table 10 lists the values of the conditional formulae as actually observed in Examples 1 to 9.





FIGS. 10A-10I

,


11


A-


11


I,


12


A-


12


I,


13


A-


13


I,


14


A-


14


I,


15


A-


15


I,


16


A-


16


I,


17


A-


17


I, and


18


A-


18


I are aberration diagrams of Examples 1 to 9, respectively. Of these diagrams,

FIGS. 10A-10C

,


11


A-


11


C,


12


A-


12


C,


13


A-


13


C,


14


A-


14


C,


15


A-


15


C,


16


A-


16


C,


17


A-


17


C, and


18


A-


18


C show the aberration observed at the wide-angle end W,

FIGS. 10D-10F

,


11


D-


11


F,


12


D-


12


F,


13


D-


13


F,


14


D-


14


F,


15


D-


15


F,


16


D-


16


F,


17


D-


17


F, and


18


D-


18


F show the aberration observed in the middle position M, and

FIGS. 10G-10I

,


11


G-


11


I,


12


G-


12


I,


13


G-


13


I,


14


G-


14


I,


15


G-


15


I,


16


G-


16


I,


17


G-


17


I, and


18


G-


18


I show the aberration observed at the telephoto end T. Of these diagrams,

FIGS. 10A

,


10


D,


10


G,


11


A,


11


D,


11


G,


12


A,


12


D,


12


G,


13


A,


13


D,


13


G,


14


A,


14


D,


14


G,


15


A,


15


D,


15


G,


16


A,


16


D,


16


G,


17


A,


17


D,


17


G,


18


A,


18


D, and


18


G show spherical aberration, FIGS.


10


B,


10


E,


10


H,


11


B,


11


E,


11


H,


12


B,


12


E,


12


H,


13


B,


13


E,


13


H,


14


B,


14


E,


14


H,


15


B,


15


E,


15


H,


16


B,


16


E,


16


H,


17


B,


17


E,


17


H,


18


B,


18


E, and


18


H show astigmatism, and

FIGS. 10C

,


10


F,


10


I,


11


C,


11


F,


11


I,


12


C,


12


F,


12


I,


13


C,


13


F,


13


I,


14


C,


14


F,


14


I,


15


C,


15


F,


15


I,


16


C,


16


F,


16


I,


17


C,


17


F,


17


I,


18


C,


18


F, and


18


I show distortion. In these diagrams, Y′ represents the maximum image height (mm). In the diagrams showing spherical aberration, a solid line d, a dash-and-dot line g, and a dash-dot-dot line c show the spherical aberration for the d-line, for the g-line, and for the c-line, respectively, and a broken line SC shows the sine condition. In the diagrams showing astigmatism, a broken line DM and a solid line DS represent the astigmatism for the d-line on the meridional plane and on the sagittal plane, respectively. In the diagrams showing distortion, a solid line represents the distortion (%) for the d-line.












TABLE 1









Construction Data of Example 1






f = 4.45˜7.8˜12.7, FNO = 2.84˜2.84˜2.90,






2ω = 75.8˜46.8˜28.9




























Radius of




Axial




Refractive




Abbe







Curvature




Distance




Index




Number











r1 = 18.401








d1 = 0.800




N1 = 1.54072




ν1 = 47.22







r2 = 5.940













d2 = 3.275˜6.628˜5.000
















r3* = −46.268











d3 = 0.800




N2 = 1.52200




ν2 = 52.20







r4* = 7.744








d4 = 1.115







r5 = 10.618








d5 = 1.784




N3 = 1.84666




ν3 = 23.82







r6 = 29.518













d6 = 14.440˜6.151˜2.201
















r7 = ∞(ST)











d7 = 0.600







r8 = 10.096








d8 = 1.673




N4 = 1.75450




ν4 = 51.57







r9 = 35.493








d9 = 0.100







r10 = 6.646








d10 = 2.391




N5 = 1.75450




ν5 = 51.57







r11 = 42.505








d11 = 0.436







r12 = 372.791








d12 = 0.800




N6 = 1.84666




ν6 = 23.82







r13 = 5.188








d13 = 0.800







r14 = 6.476








d14 = 2.091




N7 = 1.52200




ν7 = 52.20







r15* = 43.112













d15 = 1.283˜8.292˜13.780
















r16* = −50.000











d16 = 2.639




N8 = 1.75450




ν8 = 51.57







r17* = −9.674













d17 = 2.774˜0.700˜0.790
















r18 = ∞











d18 = 2.000




N9 = 1.51680




ν9 = 64.20







r19 = ∞















Aspherical Surface Data of Surface r3






ε = 1.0000, A4 = 0.66858 × 10


−3


, A6 = −0.25227 × 10


−4


,






A8 = 0.41627 × 10


−6








Aspherical Surface Data of Surface r4






ε = 1.0000, A4 = 0.27983 × 10


−3


, A6 = −0.33808 × 10


−4


,






A8 = 0.43681 × 10


−6








Aspherical Surface Data of Surface r15






ε = 1.0000, A4 = 0.14395 × 10


−2


, A6 = 0.21710 × 10


−4


,






A8 = 0.13202 × 10


−5








Aspherical Surface Data of Surface r16






ε = 1.0000, A4 = −0.39894 × 10


−3


, A6 = −0.41378 × 10


−4,








A8 = 0.19806 × 10


−5








Aspherical Surface Data of Surface r17






ε = 1.0000, A4 = 0.27510 × 10


−3


, A6 = −0.46341 × 10


−4


,






A8 = 0.17216 × 10


−5
























TABLE 2









Construction Data of Example 2






f = 4.45˜7 8˜12.7, FNO = 2.67˜2.90˜2.90,






2ω = 76.9˜46.6˜28.5




























Radius of




Axial




Refractive




Abbe







Curvature




Distance




Index




Number











r1 = 12.628








d1 = 1.000




N1 = 1.58913




ν1 = 61.25







r2 = 5.734













d2 = 3.800˜6.823˜4.759
















r3* = −17.691











d3 = 0.800




N2 = 1.52200




ν2 = 52.20







r4* = 8.550








d4 = 1.669







r5 = 14.585








d5 = 1.500




N3 = 1.84666




ν3 = 23.78







r6 = 75.547













d6 = 12.939˜5.191˜1.490
















r7 = ∞(ST)











d7 = 0.600







r8 = 10.478








d8 = 1.730




N4 = 1.78831




ν4 = 47.32







r9 = 48.647








d9 = 0.100







r10 = 5.925








d10 = 2.491




N5 = 1.58913




ν5 = 61.25







r11 = 20.627








d11 = 0.010




N6 = 1.51400




ν6 = 42.83







r12 = 20.627








d12 = 0.700




N7 = 1.84666




ν7 = 23.78







r13 = 4.609








d13 = 0.632







r14 = 4.757








d14 = 2.626




N8 = 1.52200




ν8 = 52.20







r15* = 14.654













d15 = 1.439˜7.835˜13.100
















r16* = −50.000











d16 = 1.000




N9 = 1.58340




ν9 = 30.23







r17* = 70.535








d17 = 0.591







r18 = −94.053








d18 = 1.802




N10 = 1.78590




ν10 = 43.93







r19 = −8.643













d19 = 2.371˜0.700˜1.200
















r20 = ∞











d20 = 2.000




N11 = 1.51680




ν11 = 64.20







r21 = ∞















Aspherical Surface Data of Surface r3






ε = 1.0000, A4 = 0.56623 × 10


−3


, A6 = −0.23264 × 10


−4


,






A8 = 0.30123 × 10


−6








Aspherical Surface Data of Surface r4






ε = 1.0000, A4 = 0.43838 × 10


−4


, A6 = −0.28329 × 10


−4


,






A8 = 0.33275 × 10


−6








Aspherical Surface Data of Surface r15






ε = 10000, A4 = 0.21324 × 10


−2


, A6 = 0.32366 × 10


−4


,






A8 = 0.53566 × 10


−5








Aspherical Surface Data of Surface r16






ε = 1.0000, A4 = 0.95453 × 10


−3


, A6 = −0.13928 × 10


−3


,






A8 = 0.43729 × 10


−5








Aspherical Surface Data of Surface r17






ε = 1.0000, A4 = 0.20120 × 10


−2


, A6 = −0.13956 × 10


−3


,






A8 = 0.38295 × 10


−5
























TABLE 3









Construction Data of Example 3






f = 4.45˜7.8˜12.7, FNO = 2.70˜2.84˜2.89,






2ω = 76.6˜46.4˜29.1




























Radius of




Axial




Refractive




Abbe







Curvature




Distance




Index




Number











r1 = 11.274








d1 = 1.000




N1 = 1.74330




ν1 = 49.22







r2 = 5.143








d2 = 3.500







r3* = 302.871








d3 = 1.800




N2 = 1.52200




ν2 = 52.20







r4* = −39.780













d4 = 1.500˜3.907˜1.412
















r5 = −20.000











d5 = 0.800




N3 = 1.63854




ν3 = 55.45







r6 = 10.669








d6 = 0.800







r7 = 12.450








d7 = 1.550




N4 = 1.84666




ν4 = 23.78







r8 = 48.662













d8 = 10.824˜3.774˜1.000
















r9 = ∞(ST)











d9 = 0.600







r10 = 11.059








d10 = 1.807




N5 = 1.77250




ν5 = 49.77







r11 = 137.002








d11 = 0.100







r12 = 7.339








d12 = 2.800




N6 = 1.75450




ν6 = 51.57







r13 = −37.431








d13 = 0.010




N7 = 1.51400




ν7 = 42.83







r14 = −37.431








d14 = 0.712




N8 = 1.84666




ν8 = 23.78







r15 = 6.744








d15 = 1.282







r16 = 9.773








d16 = 1.500




N9 = 1.52200




ν9 = 52.20







r17* = 33.228













d17 = 1.112˜7.313˜12.854
















r18* = 22.508











d18 = 1.000




N10 = 1.58340




ν10 = 30.23







r19* = 8.706








d19 = 0.773







r20 = 53 706








d20 = 1.801




N11 = 1.78590




ν11 = 43.93







r21 = −10.576













d21 = 2.530˜0.971˜0.700
















r22 = ∞











d22 = 2.000




N12 = 1.51680




ν12 = 64.20







r23 = ∞















Aspherical Surface Data of Surface r3






ε = 1.0000, A4 = 0.28635 × 10


−3


, A6 = 0.15667 × 10


−4


,






A8 = −0.57168 × 10


−6








Aspherical Surface Data of Surface r4






ε = 1.0000, A4 = −0.17053 × 10


−3


, A6 = 0.80129 × 10


−5


,






A8 = −0.94476 × 10


−6








Aspherical Surface Data of Surface r17






ε = 1.0000, A4 = 0.14359 × 10


−2


, A6 = 0.19756 × 10


−4


,






A8 = 0.24320 × 10


−5








Aspherical Surface Data of Surface r18






ε = 1.0000, A4 = −0.14772 × 10


−2


, A6 = −0 28230 × 10


−4


,






A8 = 0.39925 × 10


−5








Aspherical Surface Data of Surface r19






ε = 1.0000, A4 = −0.12532 × 10


−2


, A6 = −0.15384 × 10


−4


,






A8 = 0.28984 × 10


−5
























TABLE 4









Construction Data of Example 4






f = 4.45˜7.8˜12.7, FNO = 2.88˜2.81˜2.90,






2ω = 76.7˜46˜28.9




























Radius of




Axial




Refractive




Abbe







Curvature




Distance




Index




Number











r1 = 12.938








d1 = 1.000




N1 = 1.74330




ν1 = 49.22







r2 = 5.796








d2 = 3.500







r3* = 44.528








d3 = 1.800




N2 = 1.52200




ν2 = 52.20







r4* = −104.899













d4 = 1.553˜3.953˜1.483
















r5 = −20.000











d5 = 0.800




N3 = 1.63854




ν3 = 55.45







r6 = 10.131








d6 = 1.135







r7 = 13.404








d7 = 2.000




N4 = 1.84666




ν4 = 23.78







r8 = 61.168













d8 = 10.984˜3.778˜1.000
















r9 = ∞(ST)











d9 = 0.600







r10 = 11.382








d10 = 2.046




N5 = 1.77250




ν5 = 49.77







r11 = −52.132








d11 = 0.100







r12 = 7.001








d12 = 2.783




N6 = 1.75450




ν6 = 51.57







r13 = −24.543








d13 = 0.010




N7 = 1.51400




ν7 = 42 83







r14 = −24.543








d14 = 0.700




N8 = 1.84666




ν8 = 23.78







r15 = 6.105








d15 = 1.361







r16* = −22.829








d16 = 1.641




N9 = 1.52200




ν9 = 52.20







r17* = −17.058













d17 = 1.128˜7.052˜12.841
















r18* = −50.000











d18 = 2.800




N10 = 1.74330




ν10 = 49.22







r19 = −10 303













d19 = 2.359˜1.241˜0.700
















r20 = ∞











d20 = 2.000




N11 = 1.51680




ν11 = 64.20







r21 = ∞















Aspherical Surface Data of Surface r3






ε = 1.0000, A4 = 0.19527 × 10


−3


, A6 = 0.57342 × 10


−8


,






A8 = −0.20853 × 10


−6








Aspherical Surface Data of Surface r4






ε = 1.0000, A4 = −0.17096 × 10


−3


, A6 = −0.10072 × 10


−4


,






A8 = −0.10753 × 10


−6








Aspherical Surface Data of Surface r16






ε = 1.0000, A4 = −0.13142 × 10


−2


, A6 = 0.94352 × 10


−4


,






A8 = −0.12279 × 10


−5








Aspherical Surface Data of Surface r17






ε = 1.0000, A4 = 0.11300 × 10


−3


, A6 = 0.11926 × 10


−3


,






A8 = −0.60390 × 10


−7








Aspherical Surface Data of Surface r18






ε = 1.0000, A4 = −0.50806 × 10


−3


, A6 = 0.29779 × 10


−5


,






A8 = −0.38526 × 10


−7
























TABLE 5









Construction Data of Example 5






f = 4.8˜9.7˜15.5, FNO = 2.83˜2.85˜3.01,






2ω = 72.6˜36.8˜23.5




























Radius of




Axial




Refractive




Abbe







Curvature




Distance




Index




Number











r1 = 11.104








d1 = 0.800




N1 = 1.74330




ν1 = 49.22







r2 = 6.378








d2 = 2.300







r3* = 14.802








d3 = 1.800




N2 = 1.52200




ν2 = 52.20







r4* = 20.396













d4 = 2.430˜5.010˜4.866
















r5 = −20.000











d5 = 0.800




N3 = 1.63854




ν3 = 55.45







r6 = 9.907








d6 = 0.800







r7 = 10.952








d7 = 1.500




N4 = 1.84666




ν4 = 23.78







r8 = 27.854













d8 = 11.584˜3.183˜1.000
















r9 = ∞(ST)











d9 = 0.600







r10 = 16.003








d10 = 1.787




N5 = 1.77250




ν5 = 49.77







r11 = −34.803








d11 = 0.100







r12 = 6.218








d12 = 2.784




N6 = 1.75450




ν6 = 51.57







r13 = −93.239








d13 = 0.010




N7 = 1.51400




ν7 = 42.83







r14 = −93.241








d14 = 0.700




N8 = 1.84666




ν8 = 23.78







r15 = 5.710








d15 = 1.002







r16 = 11.201








d16 = 1.500




N9 = 1.52200




ν9 = 52.20







r17* = 16.808













d17 = 1.180˜7.784˜13.237
















r18* = −50.000











d18 = 1.000




N10 = 1.58340




ν10 = 30.23







r19* = −55.066








d19 = 0.515







r20 = 37.772








d20 = 1.500




N11 = 1.78590




ν11 = 43.93







r21 = −20.359













d21 = 1.609˜0.825˜0.700
















r22 = ∞











d22 = 2.000




N12 = 1.51680




ν12 = 64.20







r23 = ∞















Aspherical Surface Data of Surface r3






ε = 1.0000, A4 = −0.68378 × 10


−4


, A6 = 0.91459 × 10


−5


,






A8 = −0.17059 × 10


−6








Aspherical Surface Data of Surface r4






ε = 1.0000, A4 = −0.30623 × 10


−3


, A6 = 0.77956 × 10


−5


,






A8 = −0.26508 × 10


−6








Aspherical Surface Data of Surface r17






ε = 1.0000, A4 = 0.15313 × 10


−2


, A6 = 0.48360 × 10


−4


,






A8 = 0.33469 × 10


−5








Aspherical Surface Data of Surface r18






ε = 1.0000, A4 = 0.33814 × 10


−2


, A6 = −0.12472 × 10


−3


,






A8 = 0.45839 × 10


−5








Aspherical Surface Data of Surface r19






ε = 1.0000, A4 = 0.39759 × 10


−2


, A6 = −0.12370 × 10


−3


,






A8 = 0.47201 × 10


−5
























TABLE 6









Construction Data of Example 6






f = 3.0˜5.2˜8.6, FNO = 2.30˜3.18˜4.10,






2ω = 76.7˜46.2˜28.2




























Radius of




Axial




Refractive




Abbe







Curvature




Distance




Index




Number











r1 = 18.376








d1 = 0.750




N1 = 1.75450




ν1 = 51.57







r2 = 5.908













d2 = 2.654˜5.660˜2.654
















r3* = −38.428











d3 = 0.750




N2 = 1.52510




ν2 = 56.38







r4* = 3.454








d4 = 1.298







r5 = 6.786








d5 = 2.177




N3 = 1.58340




ν3 = 30.23







r6 = −250.470













d6 = 9.631˜2.374˜1.000
















r7 = ∞(ST)











d7 = 0.600







r8 = 4.468








d8 = 4.230




N4 = 1.76822




ν4 = 46.58







r9 = −5.283








d9 = 0.010




N5 = 1.51400




ν5 = 42.83







r10 = −5.283








d10 = 0.750




N6 = 1.84666




ν6 = 23.82







r11* = 12.622













d11 = 2.573˜6.824˜11.205
















r12 = −17.607











d12 = 1.478




N7 = 1.52510




ν7 = 56.38







r13* = −5.316








d13 = 0.500







r14 = ∞








d14 = 3.400




N8 = 1.51680




ν8 = 64.20







r15 = ∞















Aspherical Surface Data of Surface r3






ε = 1.0000, A4 = −0.22743 × 10


−3


, A6 = 0.81018 × 10


−4


,






A8 = −0.11992 × 10


−4








Aspherical Surface Data of Surface r4






ε = 1.0000, A4 = −0.34914 × 10


−2


, A6 = −0.12871 × 10


−3


,






A8 = −0.99555 × 10


−5








Aspherical Surface Data of Surface r11






ε = 1.0000, A4 = 0.47689 × 10


−2


, A6 = 0.18896 × 10


−3


,






A8 = 0.77520 × 10


−4








Aspherical Surface Data of Surface r13






ε = 1.0000, A4 = 0.26471 × 10


−2


, A6 = −0.51516 × 10


−4


,






A8 = 0.18942 × 10


−5
























TABLE 7









Construction Data of Example 7






f = 2.5˜4.8˜7.3, FNO = 2.37˜3.33˜4.10,






2ω = 72.9˜40.4˜26.7




























Radius of




Axial




Refractive




Abbe







Curvature




Distance




Index




Number











r1 = 16.241








d1 = 0.800




N1 = 1.75450




ν1 = 51.57







r2 = 5.499













d2 = 3.085˜5.394˜3.085
















r3* = 23.072











d3 = 1.000




N2 = 1.52510




ν2 = 56.38







r4* = 3.156








d4 = 1.390







r5 = 5.079








d5 = 1.653




N3 = 1.84666




ν3 = 23.82







r6 = 7.886













d6 = 9.655˜3.023˜1.879
















r7 = ∞(ST)











d7 = 0.600







r8 = 4.268








d8 = 3.824




N4 = 1.73299




ν4 = 52.32







r9 = −5.710








d9 = 0.010




N5 = 1.51400




ν5 = 42.83







r10 = −5.710








d10 = 0.750




N6 = 1.84666




ν6 = 23.82







r11* = 27.698













d11 = 1.576˜5.899˜9.351
















r12 = −12.089











d12 = 2.546




N7 = 1.52510




ν7 = 56.38







r13* = −4.510








d13 = 0.500







r14 = ∞








d14 = 3.400




N8 = 1.51680




ν8 = 64.20







r15 = ∞















Aspherical Surface Data of Surface r3






ε = 1.0000, A4 0.11334 × 10


−2


, A6 = 0.83390 × 10


−4


,






A8 = −0 24186 × 10


−4








Aspherical Surface Data of Surface r4






ε 1.0000, A4 = −0.14398 × 10


−2


, A6 = −0.68030 × 10


−4


,






A8 = −0.49071 × 10


−4








Aspherical Surface Data of Surface r11






ε = 1.0000, A4 = 0.43753 × 10


−2


, A6 = 0.23651 × 10


−3


,






A8 = 0.47406 × 10


−4








Aspherical Surface Data of Surface r13






ε = 1.0000, A4 = 0.35646 × 10


−2


, A6 = −0.42883 × 10


−4,








A8 = 0.14875 × 10


−5
























TABLE 8









Construction Data of Example 8






f = 1.6˜3.0˜4.6, FNO = 2.44˜3.37˜4.10,






2ω = 76.4˜43.8˜28.8




























Radius of




Axial




Refractive




Abbe







Curvature




Distance




Index




Number











r1 = 7.967








d1 = 0.800




N1 = 1.75450




ν1 = 51.57







r2 = 3.205













d2 = 2.923˜4.841˜3.019
















r3* = 14.015











d3 = 1.000




N2 = 1.52510




ν2 = 56.38







r4* = 2.338








d4 = 2.084







r5 = 5.334








d5 = 3.470




N3 = 1.84666




ν3 = 23.82







r6 = 8.028













d6 = 7.717˜2.047˜1.000
















r7 = ∞(ST)











d7 = 0.600







r8 = 4.296








d8 = 3.644




N4 = 1.76050




ν4 = 50.55







r9 = −4.200








d9 = 0.010




N5 = 1.51400




ν5 = 42.83







r10 = −4.200








d10 = 0.750




N6 = 1.84666




ν6 = 23.82







r11* = −159.225













d11 = 0.897˜4.648˜7.518
















r12 = −8.166











d12 = 2.207




N7 = 1.52510




ν7 = 56.38







r13* = −3.963








d13 = 0.500







r14 = ∞








d14 = 3.400




N8 = 1.51680




ν8 = 64.20







r15 = ∞















Aspherical Surface Data of Surface r3






ε = 1.0000, A4 = 0.19149 × 10


−2


, A6 = 0.14015 × 10


−2


,






A8 = −0.37347 × 10


−3


, A10 = 0.31010 × 10


−4








Aspherical Surface Data of Surface r4






ε = 1.0000, A4 = −0.67645 × 10


−2


, A6 = −0.60143 × 10


−4


,






A8 = −0.46412 × 10


−3








Aspherical Surface Data of Surface r11






ε = 1.0000, A4 = 0.37565 × 10


−2


, A6 = 0.66871 × 10


−3


,






A8 = −0.80434 × 10


−4








Aspherical Surface Data of Surface r13






ε = 1.0000, A4 = 0.52954 × 10


−2


, A6 = −0.75580 × 10


−3


,






A8 = 0.15734 × 10


−3
























TABLE 9









Construction Data of Example 9






f = 4.5˜7.8˜12.7, FNO = 3.24˜3.09˜4.13,






2ω = 76.4˜47.9˜29.6




























Radius of




Axial




Refractive




Abbe







Curvature




Distance




Index




Number











r1 = 21.240








d1 = 1.200




N1 = 1.75450




ν1 = 51.57







r2 = 5.872













d2 = 3.000˜8.500˜4.979
















r3* = 8.946











d3 = 1.000




N2 = 1.62112




ν2 = 57.62







r4* = 4.431








d4 = 2.156







r5 = 7.067








d5 = 2.000




N3 = 1.84666




ν3 = 23.82







r6 = 9.677













d6 = 11.453˜2.003˜1.000
















r7 = ∞(ST)











d7 = 0.600







r8* = 5.559








d8 = 1.675




N4 = 1.57965




ν4 = 60.49







r9 = 13.046








d9 = 0.100







r10 = 6.192








d10 = 2.500




N5 = 1.48749




ν5 = 70.44







r11 = −11.918








d11 = 0.203







r12 = −14.208








d12 = 3.421




N6 = 1.79850




ν6 = 22.60







r13* = 21.481








d13 = 0.780







r14 = 14.579








d14 = 4.000




N7 = 1.75450




ν7 = 51.57







r15* = 12.388













d15 = 1.898˜5.848˜10.372
















r16 = ∞











d16 = 2.000




N8 = 1.51680




ν8 = 64.20







r17 = ∞















Aspherical Surface Data of Surface r3






ε = 1.0000, A4 = 0.13577 × 10


−2


, A6 = −0.10949 × 10


−3


,






A8 = 0.37797 × 10


−5








Aspherical Surface Data of Surface r4






ε = 1.0000, A4 = 0.65141 × 10


−3


, A6 = −0.18413 × 10


−3


,






A8 = 0.34984 × 10


−5








Aspherical Surface Data of Surface r8






ε = 1.0000, A4 = −0.30607 × 10


−3


, A6 = −0.12679 × 10


−4


,






A8 = −0.66500 × 10


−6








Aspherical Surface Data of Surface r13






ε = 1.0000, A4 = 0.28699 × 10


−2


, A6 = 0.29442 × 10


−5


,






A8 = 0.14242 × 10


−4








Aspherical Surface Data of Surface r15






ε = 1.0000, A4 = −0.73341 × 10


−3


, A6 = 0.14643 × 10


−3


,






A8 = −0.36100 × 10


−5
























TABLE 10











Actual Values of Conditional Formulae





















(3)




(4)




(5) Y = 0.7 Ymax




(6)








(1)




(2)




(tanωw)


2


·




TLw□Fnt/




(|X| − |X0|)/




(CR1 − CR2)/




(7)






Ex.




f1/f2




|f12/fw|




fw/TLw




(fw · tanωw)




[C0(N′ − N)f3]




(CR1 + CR2)




|f12/f3|





















1




2.620




2.482




0.065




34.43




−0.267




0.676




1.024






2




1.434




2.416




0.068




33.65




−0.094









1.042






3




1.426




2.140




0.068




33.71




−0.199









0.974






4




1.131




2.270




0.067




34.19




−0.023




0.658




1.017






5




0.773




2.315




0.066




33.59




−0.091









1.203






6




1.443




2.268




0.059




55.29




−0.033




0.054




0.873






7




1.337




2.260




0.043




69.95




−0.090




0.457




0.817






8




1.269




2.206




0.032




101.59




−0.069




0.347




0.590






9




3.909




1.812




0.071




46.08




0.002









1.023













Claims
  • 1. An optical device comprising:a zoom lens system, comprising a plurality of lens units, which achieves zooming by varying unit-to-unit distances; and an image sensor for converting an optical image formed by the zoom lens system into an electrical signal, wherein the zoom lens system comprises at least, from an object side thereof to an image side thereof, a first lens unit having a negative optical power, a second lens unit having a negative optical power, and a third lens unit having a positive optical power; wherein the third lens unit has an aspherical surface at the image side thereof; and wherein the following conditional formulae are fulfilled: −0.6<(|X|−|X0|)/[C0·(N′−N)·f3]<0 0.1Ymax≦Y≦0.7Ymax wherein X represents a surface shape of the aspherical surface; X0 represents a surface shape of a reference spherical surface of the aspherical surface; C0 represents a curvature of the reference spherical surface of the aspherical surface; N represents a refractive index for a d-line of the object-side medium of the aspherical surface; N′ represents the refractive index for the d-line of the image-side medium of the aspherical surface; f3 represents a focal length of the third lens unit; Ymax represents a maximum effective optical path of an aspherical surface; and Y represents a height in a direction perpendicular to an optical axis.
  • 2. An optical device comprising:a zoom lens system, comprising a plurality of lens units, which achieves zooming by varying unit-to-unit distances; and an image sensor for converting an optical image formed by the zoom lens system into an electrical signal, wherein the zoom lens system comprises at least, from an object side thereof to an image side thereof, a first lens unit having a negative optical power and provided at the most object side of the zoom lens system, a second lens unit having a negative optical power, and a third lens unit having a positive optical power, and wherein the following conditional formula is fulfilled: 0.5<f1/f2<5 wherein f1 represents a focal length of the first lens unit; and f2represents a focal length of the second lens unit.
  • 3. An optical device comprising:a zoom lens system, comprising a plurality of lens units, which achieves zooming by varying unit-to-unit distances; and an image sensor for converting an optical image formed by the zoom lens system into an electrical signal, wherein the zoom lens system comprises at least, from an object side thereof to an image side thereof, a first lens unit having a negative optical power, a second lens unit having a negative optical power, and a third lens unit having a positive optical power; and wherein the following conditional formulae are fulfilled: 1.5<|fl2/fw|<4 0.058<(tan ωw)2×fw/TLw<0.9 wherein fl2 represents a composite focal length of the first and the second lens units at a wide-angle end; tan ωw represents a half view angle at a wide-angle end; fw represents a focal length of an entire optical system at the wide-angle end; and TLw represents a distance from a first vertex to an image plane at the wide-angle end.
  • 4. An optical device comprising:a zoom lens system, comprising a plurality of lens units, which achieves zooming by varying unit-to-unit distances; and an image sensor for converting an optical image formed by the zoom lens system into an electrical signal, wherein the zoom lens system comprises at least, from an object side thereof to an image side thereof, a first lens unit having a negative optical power, a second lens unit having a negative optical power, and a third lens unit having a positive optical power; and wherein the following conditional formulae is fulfilled: 1.5<|fl2/fw|<4 10<TLw×Fnt/(fw×tan ωw)<50 where TLw represents a distance from a first vertex to an image plane at a wide-angle end; Fnt represents an f-number at a telephoto end; fl2 represents a composite focal length of the first and the second lens units at the wide-angle end; fw represents a focal length of an entire optical system at the wide-angle end; and tan ωw represents a half view angle at the wide-angle end.
  • 5. An optical device comprising:a zoom lens system, comprising a plurality of lens units, which achieves zooming by varying unit-to-unit distances; and an image sensor for converting an optical image formed by the zoom lens system into an electrical signal, wherein the zoom lens system comprises at least, from an object side thereof to an image side thereof, a first lens unit having a negative optical power and provided at the most object side of the zoom lens system, a second lens unit having a negative optical power, and a third lens unit having a positive optical power, and wherein the lens unit closest to the image side has a positive optical power, said lens unit is comprised of at least one positive lens element and the positive lens element fulfills the following conditional formula: 0.05<(CR1−CR2)/(CR1+CR2)<5 wherein CR1 represents a radius of curvature of the object-side surface; and CR2 represents a radius of curvature of the image-side surface.
  • 6. An optical device comprising:a zoom lens system, comprising a plurality of lens units, which achieves zooming by varying unit-to-unit distances; and an image sensor for converting an optical image formed by the zoom lens system into an electrical signal, wherein the zoom lens system comprises at least, from an object side thereof to an image side thereof, a first lens unit having a negative optical power, a second lens unit having a negative optical power, and a third lens unit having a positive optical power; and wherein the following conditional formula is fulfilled: 04<|fl2/f3|<1.5 where fl2 represents a composite focal length of the first and the second lens units at a wide-angle end; and f3 represents a focal length of the third lens unit.
  • 7. An optical device comprising:a zoom lens system, comprising a plurality of lens units, which achieves zooming by varying unit-to-unit distances; and an image sensor for converting an optical image formed by the zoom lens system into an electrical signal, wherein the zoom lens system comprises at least, from an object side thereof to an image side thereof, a first lens unit having a negative optical power and provided at the most object side of the zoom lens system, a second lens unit having a negative optical power, a third lens unit having a positive optical power, and a fourth lens unit having a positive optical power; and wherein said first lens unit through said fourth lens unit are disposed sequentially across a variable air gap.
  • 8. An optical device as claimed in claim 7 wherein the zoom lens system achieves zooming by varying distances between the first lens unit to the fourth lens unit.
  • 9. An optical device as claimed in claim 8 wherein the zoom lens system further comprises a low-pass filter which adjusts spatial frequency characteristics of the optical image formed by the zoom lens system, said low-pass filter located between the first lens unit and the image sensor.
  • 10. An optical device as claimed in claim 9 wherein the first lens unit and the low-pass filter remain stationary during zooming.
  • 11. An optical device comprising:a zoom lens system, comprising a plurality of lens units, which achieves zooming by varying unit-to-unit distances; and an image sensor for converting an optical image formed by the zoom lens system into an electrical signal, wherein the zoom lens system comprises at least, from an object side thereof to an image side thereof, a first lens unit having a negative optical power and being provided at the most object side of the zoom lens system, a second lens unit having a negative optical power, a third lens unit having a positive optical power, and a fourth lens unit having a positive optical power; and wherein the first lens unit is a single lens element.
  • 12. An optical device as claimed in claim 7 wherein the first lens unit comprises two lens elements.
  • 13. An optical device as claimed in claim 7 wherein the third lens unit comprises at least two positive lens elements and at least one negative lens element.
  • 14. An optical device as claimed in claim 7 wherein the third lens unit has an aspherical surface at the image side thereof.
  • 15. An optical device comprising:a zoom lens system, comprising a plurality of lens units, which achieves zooming by varying unit-to-unit distances; and an image sensor for converting an optical image formed by the zoom lens system into an electrical signal, wherein the zoom lens system comprises at least, from an object side thereof to an image side thereof, a first lens unit having a negative optical power, a second lens unit having a negative optical power, a third lens unit having a positive optical power, and a fourth lens unit having a positive optical power; wherein the third lens unit has an aspherical surface at the image side thereof; and wherein the following conditional formulae is fulfilled: −0.6<(|X|−|X0|)/[C0·(N′−N)·f3]<0 0.1Ymax≦Y≦0.7Ymax wherein X represents a surface shape of the aspherical surface; X0 represents a surface shape of a reference spherical surface of the aspherical surface; C0 represents a curvature of the reference spherical surface of the aspherical surface; N represents a refractive index for a d-line of the object-side medium of the aspherical surface; N′ represents the refractive index for the d-line of the image-side medium of the aspherical surface; f3 represents a focal length of the third lens unit; Ymax represents a maximum effective optical path of an aspherical surface; and Y represents a height in a direction perpendicular to an optical axis.
  • 16. An optical device as claimed in claim 7 wherein the following conditional formula is fulfilled:0.5<f1/f2<5 wherein f1 represents a focal length of the first lens unit; and f2 represents a focal length of the second lens unit.
  • 17. An optical device comprising:a zoom lens system, comprising a plurality of lens units, which achieves zooming by varying unit-to-unit distances; and an image sensor for converting an optical image formed by the zoom lens system into an electrical signal, wherein the zoom lens system comprises at least, from an object side thereof to an image side thereof, a first lens unit having a negative optical power, a second lens unit having a negative optical power, a third lens unit having a positive optical power, and a fourth lens unit having a positive optical power; and wherein the following conditional formulae are fulfilled: 1.5<|fl2/fw|<4 0.058<(tan ωw)2×fw/TLw<0.9 wherein fl2 represents a composite focal length of the first and the second lens units at a wide-angle end; tan ωw represents a half view angle at a wide-angle end; fw represents a focal length of an entire optical system at the wide-angle end; and TLw represents a distance from a first vertex to an image plane at the wide-angle end.
  • 18. An optical device comprising:a zoom lens system, comprising a plurality of lens units, which achieves zooming by varying unit-to-unit distances; and an image sensor for converting an optical image formed by the zoom lens system into an electrical signal, wherein the zoom lens system comprises at least, from an object side thereof to an image side thereof, a first lens unit having a negative optical power, a second lens unit having a negative optical power, a third lens unit having a positive optical power, and a fourth lens unit having a positive optical power; and wherein the following conditional formulae is fulfilled: 1.5<|fl2/fw|<4 10<TLw×Fnt/(fw×tan ωw)<50 where TLw represents a distance from a first vertex to an image plane at a wide angle end; Fnt represents an f-number at a telephoto end; fl2 represents a composite focal length of the first and the second lens units at the wide-angle end; fw represents a focal length of an entire optical system at the wide-angle end; and tan ωw represents a half view angle at the wide-angle end.
  • 19. An optical device as claimed in claim 7 wherein the lens unit closest to the image side has a positive optical power, said lens unit is comprised of at least one positive lens element and the positive lens element fulfills the following conditional formula:0.05<(CR1−CR2)/(CR1+CR2)<5 wherein CR1 represents a radius of curvature of the object-side surface; and CR2 represents a radius of curvature of the image-side surface.
  • 20. An optical device comprising:a zoom lens system, comprising a plurality of lens units, which achieves zooming by varying unit-to-unit distances; and an image sensor for converting an optical image formed by the zoom lens system into an electrical signal, wherein the zoom lens system comprises at least, from an object side thereof to an image side thereof, a first lens unit having a negative optical power, a second lens unit having a negative optical power, a third lens unit having a positive optical power, and a fourth lens unit having a positive optical power; and wherein the following conditional formula is fulfilled: 0.4<|fl2/f3|<1.5 where fl2 represents a composite focal length of the first and the second lens units at a wide-angle end; and f3 represents a focal length of the third lens unit.
Priority Claims (2)
Number Date Country Kind
2000-095247 Mar 2000 JP
2000-368343 Dec 2000 JP
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