Zoom lens

Abstract

A zoom lens includes a first lens unit having a positive refracting power and is fixed during zooming, a second lens unit having a negative refracting power and is movable during zooming, a third lens unit having a positive refracting power and used to correct the image surface by the zooming, and a fourth lens unit having a positive refracting power. These lens units are arranged in the order named from the object side. In order to properly correct halo/coma that tends to occur during zooming, an aspherical surface is formed in the third lens unit at a focal length fm given by fm=fw·z½, where fw is the wide-angle focal length, and z is the zoom ratio, when the imaging magnifications of the second and third lens units simultaneously pass through −1-time point during zooming.

Description

BACKGROUND OF THE INVENTION

1. Field of the Invention

The present invention relates to a zoom lens which is suitably used for a TV camera, still camera, or the like and properly uses aspherical surfaces as some parts in a lens system to have a large aperture, high power, and good optical performance throughout the entire magnification range.

2. Related Background Art

Conventionally, zoom lenses having large apertures, high magnification ratios, and good optical performance have been required for a TV camera, still camera, video camera, and the like. In broadcasting color TV cameras, in particular, importance is attached to operability and mobility. In accordance with such requirements, ⅔- and ½-inch compact CCDs (solid-state image sensing devices) have become mainstream as photographing devices.

Since such a CCD has an almost uniform resolution throughout the entire image sensing range, a zoom lens using this device is required to have an almost uniform resolution in a range from the center of the frame to the periphery of the frame. Recently, with an increase in the density of CCDs, the resolutions of cameras have increased, and hence increasing demands have arisen for zoom lenses having higher performance.

For example, a zoom lens is required to have various aberrations, such as astigmatism, distortion, chromatic aberration of magnification, corrected, and have high optical performance throughout the frame, and a high magnification ratio. The zoom lens is also required to be compact and lightweight.

Of the zoom lenses, a so-called 4-unit zoom lens can relatively easily have a high magnification ratio and large aperture and is often used as a zoom lens for a broadcasting color TV camera. This zoom lens is made up of a first lens unit having a positive refracting power and used for focusing, a second lens unit having a negative refracting power and used for a magnifying operation, a third lens unit having a positive refracting power and used to correct variations in the image surface with a magnifying operation, and a fourth lens unit for imaging. These lens units are arranged in the order named from the object side.

In general, to attain reductions in the size and weight of the overall lens system, the lens system adopts an arrangement for increasing the refracting power of each lens unit. If, however, the negative power of the second lens unit for the magnifying operation and the positive power of the third lens unit are increased to attain reductions in the size and weight of the lens system by saving the space for the magnifying portion, a problem is posed in terms of variations in aberration upon zooming. Spherical aberration, astigmatism, and halo/coma, in particular, greatly vary, resulting in a great deterioration in optical performance. Variations in the aberrations due to zooming become more noticeable as the lens system has a higher zoom ratio and a speed of lens becomes faster. For this reason, various methods of correcting aberration variations due to a magnifying operation have been proposed.

For example, Japanese Patent Application Laid-Open No. 6-59191 discloses a 4-unit zoom lens, as a zoom lens having an f-number of about 1.6 to 1.8, a large aperture with a magnification ratio of about 18 to 40, and a high power, which is made up of a first lens unit having a fixed positive refracting power in a magnifying operation, a second lens unit having a negative refracting power which is variable in a magnifying operation, a third lens unit having a positive refracting power and used to correct variations in the imaging plane due to the magnifying operation, and a fourth lens unit having a positive refracting power and used for imaging. These lens units are arranged in the order named from the object side. In this zoom lens, an aspherical surface shaped to increase the positive refracting power is formed in the third lens unit.

Japanese Patent Application Laid-Open No. 8-82741 discloses a 4-unit zoom lens, as a zoom lens having an f-number of about 1.6, a large aperture with a magnification ratio of about 40, and a high power, which is made up of a first lens unit having a fixed positive refracting power in a magnifying operation, a second lens unit having a negative refracting power which is variable in the magnifying operation, a third lens unit having a positive refracting power and used to correct variations in the imaging plane due to a magnifying operation, and a fourth lens unit having a positive refracting power and used for imaging. These lens units are arranged in the order named from the object side. In this zoom lens, a flare-cut stop is disposed between the second and third lens units.

In a zoom lens, to obtain high optical performance throughout the entire magnification range with an f-number of about 1.5 to 1.8, a large aperture, and a magnification ratio of about 18 to 50, the refracting powers of the respective lens units, the arrangement of lenses, aberration sharing, and achromatic sharing, and the like must be properly set.

In many cases, in order to obtain, for example, high optical performance with little aberration variations throughout the entire magnification range and the entire focus range, the degree of freedom in aberration correction must be increased by increasing the number of lens elements constituting each lens unit. For this reason, when a zoom lens with a high aperture ratio and a high magnification ratio is to be realized, the number of lenses inevitably increases, resulting in an increase in the overall size of the lens system.

As the magnification ratio increases, variations in aberrations during zooming, and more specifically, variations in spherical aberration and halo/coma, increase. This make it very difficult to obtain high optical performance while reducing the overall size of the lens system throughout the magnification range from the wide-angle end to the telephoto end.

As a means for solving this problem, a zoom lens having aspherical surfaces or using a flare-cut stop has been proposed.

The arrangement disclosed in Japanese Patent Application Laid-Open No. 6-59191 is effective in reducing variations spherical aberration accompanying a magnifying operation, and more specifically, variations in spherical aberration on the telephoto side. With this arrangement, however, aberration variations near the intermediate focal length cannot be satisfactorily reduced. The technique disclosed in Japanese Patent Application Laid-Open No. 8-82741 is designed to remove aberration variations near the intermediate focal length, and more specifically, halo/coma, by using the flare-cut stop. This technique has drawbacks, e.g., requiring a complicated mechanism.

To improve the performance of a zoom lens while attaining reductions in the size and weight of the overall zoom lens, the refracting power of each lens unit and lens configuration must be properly set. In order to increase the power of a zoom lens, it is important to achieve the optimal balance between the refracting powers of a variator lens for the magnifying operation and the compensator lens for correcting variations in the image surface upon magnifying operation and the overall zoom lens system.

SUMMARY OF THE INVENTION

It is an object of the present invention to provide a compact zoom lens having a large aperture and high magnification ratio. More specifically, it is an object of the present invention to provide a zoom lens which obtains good optical performance by providing a predetermined aspherical surface at a predetermined position in a third lens unit.

According to the present invention, there is provided a zoom lens comprising a first lens unit having a positive refracting power and being fixed during zooming, a second lens unit having a negative refracting power and being movable during zooming, a third lens unit having a positive refracting power and used to correct the image surface by the zooming, and a fourth lens unit having a positive refracting power, the lens units being sequentially arranged from an object side,

wherein when imaging magnifications of the second and third lens units simultaneously pass through a −1-time point during zooming, and an intermediate focal length fm is given by

fm=fw·z ½

where fw is a wide-angle focal length, and z is a zoom ratio, and an aspherical surface shaped to decrease a positive refracting power or increase a negative refracting power is provided at a lens surface of the third lens unit which satisfies

1<|h3′/h3|

where h3 is a height at which an on-axial marginal ray passes, and h3′ is a height at which an off-axial marginal ray that is formed into an image at a maximum image height passes, at this intermediate focal length fm.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a sectional view of a lens system at the wide-angle end according to the first embodiment;

FIG. 2 is a sectional view of a lens system at the wide-angle end according to the second embodiment;

FIG. 3 is a sectional view of a lens system at the wide-angle end according to the third embodiment;

FIG. 4 is a sectional view of a lens system at the wide-angle end according to the fourth embodiment;

FIG. 5 is a sectional view of a lens system at the wide-angle end according to the fifth embodiment;

FIG. 6 is a sectional view of a lens system at the wide-angle end according to the sixth embodiment;

FIG. 7 is a sectional view of a lens system at the wide-angle end according to the seventh embodiment;

FIG. 8 is a sectional view of a lens system at the wide-angle end according to the ninth embodiment;

FIGS. 9A , 9 B and 9 C are graphs each showing various aberrations in the first embodiment;

FIGS. 10A , 10 B and 10 C are graphs each showing various aberrations in the first embodiment;

FIGS. 11A , 11 B and 11 C are graphs each showing various aberrations in the second embodiment;

FIGS. 12A , 12 B and 12 C are graphs each showing various aberrations in the second embodiment;

FIGS. 13A , 13 B and 13 C are graphs each showing various aberrations in the third embodiment;

FIGS. 14A , 14 B and 14 C are graphs each showing various aberrations in the third embodiment;

FIGS. 15A , 15 B and 15 C are graphs each showing various aberrations in the fourth embodiment;

FIGS. 16A , 16 B and 16 C are graphs each showing various aberrations in the fourth embodiment;

FIGS. 17A , 17 B and 17 C are graphs each showing various aberrations in the fifth embodiment;

FIGS. 18A , 18 B and 18 C are graphs each showing various aberrations in the fifth embodiment;

FIGS. 19A , 19 B and 19 C are graphs each showing various aberrations in the sixth embodiment;

FIGS. 20A , 20 B and 20 C are graphs each showing various aberrations in the sixth embodiment;

FIGS. 21A , 21 B and 21 C are graphs each showing various aberrations in the seventh embodiment;

FIGS. 22A , 22 B and 22 C are graphs each showing various aberrations in the seventh embodiment;

FIGS. 23A , 23 B and 23 C are graphs each showing various aberrations in the eighth embodiment;

FIGS. 24A , 24 B and 24 C are graphs each showing various aberrations in the eighth embodiment;

FIG. 25 is a sectional view showing part of the lens system at the intermediate focal length in the first embodiment, together with optical paths; and

FIG. 26 is a sectional view showing part of the lens system at the intermediate focal length in the fourth embodiment, together with optical paths.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

The present invention will be described in detail below on the basis of the embodiments shown in the accompanying drawings.

FIGS. 1 to 8 are sectional views of the first to eighth embodiments at the wide-angle end. Each embodiment includes a first lens unit L 1 having a fixed positive refracting power in a magnifying operation, a second lens unit L 2 having a variable negative refracting power in a magnifying operation, a third lens unit L 3 having a positive refracting power and used to correct the image surface variations accompanying a magnifying operation, and a fourth lens unit L 4 having a positive refracting power and used for imaging. These lens units are arranged in the order named from the object side. Assume that when the imaging magnifications of the second and third lens units L 2 and L 3 simultaneously pass through a −1-time point in magnifying operation from the wide-angle end to the telephoto end, an intermediate focal length fm is given by

fm=fw·z ½   (1)

where fw is the wide-angle focal length, and z is the magnification ratio. At this intermediate focal length fm, an aspherical surface shaped to decrease a positive refracting power or increase a negative refracting power is provided at a surface that satisfies

1<|h3′/h3|  (2)

where h3 is the height at which an on-axial marginal ray passes, and h3′ is the height at which an off-axial marginal ray that is formed into an image at the maximum image height passes.

The first lens unit L 1 has a positive refracting power for focusing. The whole or part of the first lens unit L 1 is moved to perform focusing. The second lens unit L 2 is a variator lens unit having a negative refracting power and is used for magnifying operation. A magnifying operation from the wide-angle end to the telephoto end is performed by monotonously moving the second lens unit L 2 toward the image surface on the optical axis. The third lens unit L 3 is a compensator lens unit having a positive refracting power and is used to correct image surface variations accompanying the magnifying operation. When the magnifying operation is performed from the wide-angle end to the telephoto end, the third lens unit L 3 is nonlinearly moved toward the object.

The second and third lens units L 2 and L 3 constitute a magnifying system, which performs a magnifying operation by using a range including an imaging magnification of ×−1 (one-to-one). This zoom lens includes a stop SP. The fourth lens unit L 4 is a relay unit having a positive refracting power and is used for imaging. The zoom lens also has a glass block G, which is a color separation prism, optical filter, or the like.

In this embodiment, variations in aberrations accompanying magnifying operation, and more specifically, variations in halo/coma, are properly corrected by providing an aspherical surface shaped to decrease a positive refracting power or increase a negative refracting power at at least one surface of a lens element of the compensator lens unit as the third lens unit L 3 , which has a positive refracting power. This allows the zoom lens to have good optical performance throughout the entire magnification range.

FIGS. 9A to 9 C through 24 A to 24 C are graphs showing longitudinal and lateral aberrations. More specifically, FIGS. 9A , 10 A, 11 A, 12 A, 13 A, 14 A, 15 A, 16 A, 17 A, 18 A, 19 A, 20 A, 21 A, 22 A, 23 A and 24 A show aberrations at the wide-angle end, FIGS. 9B , 10 B, 11 B, 12 B, 13 B, 14 B, 15 B, 16 B, 17 B, 18 B, 19 B, 20 B, 21 B, 22 B, 23 B and 24 B show aberrations at the substantially intermediate focal length position, and FIGS. 9C , 10 C, 11 C, 12 C, 13 C, 14 C, 15 C, 16 C, 17 C, 18 C, 19 C, 20 C, 21 C, 22 C, 23 C and 24 C show aberrations at the telephoto end. Note that each graph shows a sagittal ray S and meridional ray M.

In the above zoom scheme, when a compact zoom lens is designed to suppress an increase in f-number up to the telephoto end and have a large aperture in the entire zoom range, an off-axial marginal ray b travels outside an on-axial marginal ray a at the intermediate focal length position given by equation (1) and the focal length positions before and after the intermediate focal length position, as in the first embodiment shown in FIG. 26 . Since the hatched portion of the off-axial marginal ray passes through widely below the on-axial marginal ray, it is difficult to correct halo/coma. This makes it difficult to attain high performance. For this reason, such an aberration is corrected by providing an aspherical surface that satisfies condition (2).

Note that rays are vignetted in the above focal length range. For this reason, in order to cancel out outward halo/coma on the image surface, when an aspherical surface is provided at a convex surface, the aspherical surface is shaped to decrease the curvature of the peripheral portion with respect to the curvature of the central portion. When an aspherical surface is provided at a convex surface, the aspherical surface is shaped to increase the curvature of the peripheral portion with respect to the curvature of the central portion.

The third lens unit L 3 is preferably made up of at least three convex lenses and at least one concave lens and satisfies the following conditions:

0.5≦f3/D3≦1.5  (3)

1.45≦n3≦1.65  (4)

55≦ν3≦85  (5)

where f3 is the focal length of the third lens unit L 3 , D3 is the maximum aperture, n3 is the average refractive index of each convex lens, and ν3 is the average Abbe's number of the convex lenses.

Conditions (3), (4), and (5) define the configuration of the third lens unit L 3 . If the third lens unit L 3 does not hold conditions (3), (4), and (5), it is difficult to correct the balance between a spherical aberration and an off-axial aberration and variations in longitudinal chromatic aberration and lateral chromatic aberration.

Assume that the second and third lens units L 2 and L 3 move in directions to reduce the distance therebetween, i.e., the second and third lens units respective monotonously move toward the image surface side and object side, in a magnifying operation from the wide-angle end to the telephoto end. In this case, the following conditions are preferably satisfied:

1.6≦m2/m3≦3.0  (6)

0.3≦β2/β3≦1.2  (7)

where m2 and m3 are the total moving amounts of the second and third lens units L 2 and L 3 from the wide-angle end to the telephoto end, and β2 and β3 are the lateral magnifications at the wide-angle end.

Conditions (6) and (7) define the balance between the refracting powers of the second and third lens units L 2 and L 3 constituting a zooming portion. With a zooming portion deviating from conditions (6) and (7), the refracting power of one lens unit becomes extremely higher than that of the other lens unit. This makes it more difficult to correct aberrations. In addition, the refracting powers of the first and fourth lens units L 1 and L 4 become extremely high. For this reason, it becomes difficult to correct variations in various aberrations in the entire magnification range and entire object distance range when the magnification ratio is to be increased.

As is obvious from FIGS. 10A to 10 C, 12 A to 12 C, 14 A to 14 C, 16 A to 16 C, 18 A to 18 C, 20 A to 20 C, 22 A to 22 C and 24 A to 24 C, halo/coma is properly corrected in spite of the fact that the underside off-axial marginal ray passes through widely by the (sub) principal ray, at the substantially intermediate focal length position (in each of FIGS. 10B , 12 B, 14 B, 16 B, 18 B, 20 B, 22 B and 24 B), in particular, up to the maximum image height in comparison with the on-axial ray. Obviously, variations in various aberrations from the wide-angle end to the telephoto end are slight, i.e., are properly corrected.

In the third embodiment, aberrations are properly corrected by providing aspherical surfaces at both a surface close to the object side and a surface close to the stop in the third lens unit L 3 , although the arrangement of the third lens unit L 3 in the third embodiment is simpler than that in the second embodiment.

In the fourth embodiment, in contrast to the first embodiment, in order to correct distortion that is difficult to correct as the angle of view increases, and more specifically, barrel distortion at the wide-angle end, an aspherical surface shaped to reduce a negative refracting power is formed in the second lens unit L 2 . As is obvious from FIG. 26 , however, at the substantially intermediate focal length position, in the second lens unit L 2 , the off-axial marginal ray passes through outside the on-axial marginal ray b as in the third lens unit L 3 .

If an aspherical surface shaped to reduce a negative refracting power is formed, halo/coma increases in the substantially intermediate focal length range. If, therefore, such an aspherical surface is formed in only the second lens unit L 2 , it is difficult to provide a sufficient deviation to correct distortion satisfactorily. For this reason, aberrations can be effectively corrected by providing aspherical surfaces for both the second and third lens units L 2 and L 3 . In addition, aberrations can be more effectively corrected by providing aspherical surfaces at three surfaces spaced apart from each other, i.e., a surface in the second lens unit L 2 that is close to the object and surfaces in the third lens unit L 3 that are close to the object and stop, respectively.

As is also obvious from the aberrations, the fourth embodiment can correct barrel distortion more properly than the first embodiment, and also correct other aberration variations properly.

In contrast to the first embodiment, the fifth embodiment exemplifies the case wherein the refracting power of the third lens unit L 3 is increased, and the moving amount of the third lens unit L 3 is set to be small relative to the third lens unit L 3 . If the refracting power of the third lens unit L 3 is further increased to exceed the upper limit defined by condition (6), the aberration variation caused in the third lens unit L 3 is difficult to correct.

In contrast to the first embodiment, in the sixth embodiment, the refracting power of the third lens unit L 3 is reduced, and the moving amount of the third lens unit L 3 is set to be larger than that of the second lens unit L 2 . If the refracting power of the third lens unit L 3 is further reduced below the lower limit defined by condition (6), the refracting power of the first lens unit L 1 tends to increase as the refracting power of the third lens unit L 3 decreases. This makes it difficult to correct aberrations on the telephoto end, in particular. That is, this arrangement is not appropriate.

The seventh embodiment attains higher zoom ratio than other embodiments described above.

In the eighth embodiment, the magnification ratio is 50 times higher than that in the seventh embodiment. As is apparent, aberrations are properly corrected from the wide-angle end to the telephoto end in spite of a large f-number of 3.0 at the telephoto end, i.e., a large aperture.

In all the embodiments described above, the off-axial marginal ray, which is formed into an image at the maximum image height at the substantially intermediate focal length position, passes through below the on-axial marginal ray throughout all the surfaces in the third lens unit L 3 . All the surfaces in the third lens unit L 3 meet condition (2). When the performance of the zoom lens is decreased by decreasing the zoom ratio, increasing the f-number at the telephoto end with respect to the f-number at the wide-angle end, i.e., increasing amount of the F drop, the surfaces begin to deviate from condition (2), starting from the surface nearest to the stop SP. If an aspherical surface is provided at a surface holding no condition (2), a satisfactory effect cannot be obtained.

If the refracting power of the second lens unit L 2 is decreased while the specifications, e.g., the zoom ratio and f-number, remain unchanged, all or some of surfaces in the third lens unit L 3 do not hold condition (2) in the substantially intermediate focal length range even within the range defined by relation (6). In this case, however, aberration correction in the intermediate focal length range is facilitated. This arrangement, however, is not suitable for a reduction in the total length of the lens system because the moving amount of the second lens unit L 2 increases.

In this embodiment, an aspherical surface is provided at the lens element of the third lens unit L 3 that is nearest to the object but may be provided at the second or subsequent lens element from the object side. However, such an arrangement is not suitable for correcting off-axial aberrations because the difference between the positions where on-axial and off-axial ray pass decreases. When two or more aspherical surfaces are used in the third lens unit L 3 , these surfaces are preferably formed at positions as distant from each other as possible for the sake of aberration correction.

In this embodiment, the aspherical surfaces are provided at one or two surfaces of the third lens unit L 3 and one surface of the second lens unit L 2 . As is obvious, however, if aspherical surfaces are provided at more surfaces including the first and fourth lens units L 1 and L 4 , aberrations can be corrected more properly.

Assume that the X-axis is set in the optical axis direction, the H-axis is set in a direction perpendicular to the optical axis, and the traveling direction of light is a positive direction. In this case, an aspherical surface can be given by

X={(1/R)H 2 }/{1+(1−(H/R) 2 } ½ +AH 2 +BH 4 +CH 6 +DH 8 +EH 10

where R is the paraxial radius of curvature, and A, B, C, D, and E are aspherical surface coefficients.

Numerical embodiments 1 to 8 in the first to eighth embodiments will be presented next. In each numeral embodiment, ri represents the radius of curvature of the ith lens surface from the object side; di, the interval between the thickness of the ith lens and the air; and ni and νi, the refractive index and Abbe's number of the ith lens from the object. Note that “*” represents an aspherical surface.

Numeral Embodiment 1

f = 1 to 18.5   fno = 1:1.54 to 1.85   2ω = 74.8° to 4.7°
r1 = 49.862	d1 = 0.65	n1 = 1.77621	ν1 = 49.6
r2 = 13.762	d2 = 4.88
r3 = −23.059	d3 = 0.63	n2 = 1.77621	ν2 = 49.6
r4 = −188.695	d4 = 0.02
r5 = 32.949	d5 = 1.29	n3 = 1.72311	ν3 = 29.5
r6 = 71.051	d6 = 1.33
r7 = −190.950	d7 = 2.06	n4 = 1.49845	ν4 = 81.5
r8 = −21.373	d8 = 0.03
r9 = −107.821	d9 = 0.61	n5 = 1.81265	ν5 = 25.4
r10 = 41.415	d10 = 1.82	n6 = 1.49845	ν6 = 81.5
r11 = −45.551	d11 = 4.83
r12 = 94.551	d12 = 2.46	n7 = 1.49845	ν7 = 81.5
r13 = −24.866	d13 = 0.02
r14 = 30.491	d14 = 1.80	n8 = 1.49845	ν8 = 81.5
r15 = −219.481	d15 = 0.02
r16 = 17.523	d16 = 1.35	n9 = 1.62286	ν9 = 60.3
r17 = 33.921	d17 = variable
r18 = 12.322	d18 = 0.21	n10 = 1.88815	ν10 = 40.8
r19 = 6.368	d19 = 0.84
r20 = −45.305	d20 = 0.21	n11 = 1.77621	ν11 = 49.6
r21 = 15.856	d21 = 0.84
r22 = −7.545	d22 = 0.21	n12 = 1.77621	ν12 = 49.6
r23 = −103.127	d23 = 1.15	n13 = 1.81643	ν13 = 22.8
r24 = −5.535	d24 = 0.10
r25 = −5.196	d25 = 0.21	n14 = 1.82017	ν14 = 46.6
r26 = −41.145	d26 = variable
r27 = −113.693	d27 = 0.70	n15 = 1.50014	νlS = 65.0
*r28 = −14.200	d28 = 0.03
r29 = 37.596	d29 = 0.35	n16 = 1.65223	ν16 = 33.8
r30 = 8.470	d30 = 1.81	n17 = 1.59143	ν17 = 61.2
r31 = −21.519	d31 = 0.03
r32 = 24.657	d32 = 1.26	n18 = 1.60548	ν18 = 60.7
r33 = −15.546	d33 = 0.35	n19 = 1.85501	ν19 = 23.9
r34 = −34.178	d34 = 0.03
r35 = 18.179	d35 = 1.22	n20 = 1.48915	ν20 = 70.2
r36 = −22.489	d36 = variable
r37 = ∞(stop)	d37 = 0.49
r38 = −7.463	d38 = 0.21	n21 = 1.73234	ν21 = 54.7
r39 = 5.356	d39 = 0.67	n22 = 1.85504	ν22 = 23.8
r40 = 11.390	d40 = 0.90
r41 = −5.245	d41 = 0.25	n23 = 1.75844	ν23 = 52.3
r42 = 17.504	d42 = 1.22	n24 = 1.73429	ν24 = 28.5
r43 = −5.102	d43 = 3.13
r44 = −26.094	d44 = 0.25	n25 = 1.75844	ν25 = 52.3
r45 = 4.420	d45 = 1.51	n26 = 1.55098	ν26 = 45.8
r46 = −6.168	d46 = 0.03
r47 = 15.986	d47 = 0.25	n27 = 1.83932	ν27 = 37.2
r48 = 4.258	d48 = 1.08	n28 = 1.48915	ν28 = 70.2
r49 = −27.005	d49 = 0.03
r50 = 20.349	d50 = 1.18	n29 = 1.49845	ν29 = 81.5
r51 = −4.514	d51 = 0.25	n30 = 1.81264	ν30 = 25.4
r52 = −19.461	d52 = 0.07
r53 = 12.240	d53 = 1.22	n31 = 1.48915	ν31 = 70.2
r54 = −5.240	d54 = 0.69
r55 = ∞	d55 = 6.94	n32 = 1.51825	ν32 = 64.2
r56 = ∞

Focal Length

	variable interval	1.00	4.41	18.50
	d17	0.73	10.45	14.66
	d26	20.68	8.74	0.61
	d36	0.30	2.51	6.44

Aspherical Shape

28th Surface

R=−14.20 A=0 B=8.279·10 −5

C=5.452·10 −6 D=−3.901·10 −7 E=1.102·10 −8

Numeral Embodiment 2

f = 1 to 44   fno = 1:1.7 to 3.0   2ω = 57.6° to 1.4°
r1 = 37.0170	d1 = 0.5500	n1 = 1.72311	ν1 = 29.5
r2 = 17.9081	d2 = 0.0469
r3 = 17.7086	d3 = 2.1525	n2 = 1.43496	ν2 = 95.1
r4 = −73.8246	d4 = 0.0300
r5 = 17.9834	d5 = 1.6936	n3 = 1.43496	ν3 = 95.1
r6 = −1848.4355	d6 = 0.0300
r7 = 13.6803	d7 = 1.1611	n4 = 1.49845	ν4 = 81.6
r8 = 29.9938	d8 = variable
r9 = 206.4706	d9 = 0.2000	n5 = 1.82017	ν5 = 46.6
r10 = 5.6194	d10 = 0.4929
r11 = −20.0836	d11 = 0.1800	n6 = 1.77621	ν6 = 49.6
r12 = 5.8527	d12 = 0.5921
r13 = −7.0671	d13 = 0.1800	n7 = 1.82017	ν7 = 46.6
r14 = 4.7059	d14 = 0.7606	n8 = 1.93306	ν8 = 21.3
r15 = −74.1457	d15 = variable
r16 = −328.6891	d16 = 0.6088	n9 = 1.50014	ν9 = 65.0
*r17 = −10.0506	d17 = 0.0300
r18 = 18.1499	d18 = 0.2500	n10 = 1.65223	ν10 = 33.8
r19 = 8.0299	d19 = 1.1317	n11 = 1.59143	ν11 = 61.2
r20 = −16.0387	d20 = 0.0200
r21 = 15.3942	d21 = 1.1394	n12 = 1.60548	ν12 = 60.7
r22 = −7.8774	d22 = 0.2500	n13 = 1.85501	ν13 = 23.9
r23 = −21.0812	d23 = 0.0200
r24 = 12.6384	d24 = 0.7219	n14 = 1.48915	ν14 = 70.2
r25 = −51.1899	d25 = variable
r26 = ∞(stop)	d26 = 0.3104
r27 = −4.8435	d27 = 0.1800	n15 = 1.79013	ν15 = 44.2
r28 = 3.6441	d28 = 0.4854	n16 = 1.81265	ν16 = 25.4
r29 = 14.4120	d29 = 0.5859
r30 = −4.1658	d30 = 0.1600	n17 = 1.73234	ν17 = 54.7
r31 = 3.8093	d31 = 1.1220	n18 = 1.59911	ν18 = 39.2
r32 = −2.9854	d32 = 2.4000
r33 = 57.6331	d33 = 0.7605	n19 = 1.48915	ν19 = 70.2
r34 = −3.4501	d34 = 0.0200
r35 = −5.0880	d35 = 0.2200	n20 = 1.79013	ν20 = 44.2
r36 = 3.9587	d36 = 0.6740	n21 = 1.50349	ν21 = 56.4
r37 = −5.8431	d37 = 0.1100
r38 = −24.6798	d38 = 0.6293	n22 = 1.55099	ν22 = 45.8
r39 = −2.6527	d39 = 0.2200	n23 = 1.81265	ν23 = 25.4
r40 = −6.4354	d40 = 0.0200
r41 = 6.2443	d41 = 0.6634	n24 = 1.51977	ν24 = 52.4
r42 = −7.0927	d42 = 0.5000
r43 = ∞	d43 = 5.0000	n25 = 1.51825	ν25 = 64.2
r44 = ∞

Focal Length

	variable interval	1.00	6.48	44.00
	d 8	0.49	9.29	12.39
	d15	17.89	7.27	0.30
	d25	0.33	2.15	6.03

Aspherical Shape

17th Surface

R=−10.0506 A=0 B=5.058·10 −5

C=4.272·10 −7 D=2.699·10 −7 E=−2.559·10 −8

Numeral Embodiment 3

f = 1 to 44   fno = 1:1.7 to 3.0   2ω = 57.6° to 1.4°
r1 = 37.2898	d1 = 0.5500	n1 = 1.72311	ν1 = 29.5
r2 = 17.6786	d2 = 0.0435
r3 = 17.4712	d3 = 2.1207	n2 = 1.43496	ν2 = 95.1
r4 = −83.9289	d4 = 0.0300
r5 = 18.8748	d5 = 1.7421	n3 = 1.43496	ν3 = 95.1
r6 = −268.0807	d6 = 0.0300
r7 = 13.4097	d7 = 1.3166	n4 = 1.49845	ν4 = 81.6
r8 = 29.9324	d8 = variable
r9 = 165.6239	d9 = 0.2000	n5 = 1.82017	ν5 = 46.6
r10 = 5.6122	d10 = 0.5797
r11 = −22.5184	d11 = 0.1800	n6 = 1.77621	ν6 = 49.6
r12 = 5.8492	d12 = 0.6027
r13 = −6.9878	d13 = 0.1800	n7 = 1.82017	ν7 = 46.6
r14 = 4.7304	d14 = 0.7920	n8 = 1.93306	ν8 = 21.3
r15 = −76.1306	d15 = variable
r16 = 25.8174	d16 = 1.0708	n9 = 1.48915	ν9 = 70.2
*r17 = −8.1836	d17 = 0.0236
r18 = 15.2140	d18 = 1.5529	n10 = 1.64254	ν10 = 60.1
r19 = −5.6867	d19 = 0.1970	n11 = 1.81264	ν11 = 25.4
r20 = −14.3668	d20 = 0.0158
*r21 = 11.0730	d21 = 0.9104	n12 = 1.48915	ν12 = 70.2
r22 = −29.9975	d22 = variable
r23 = ∞(stop)	d23 = 0.3675
r24 = −4.1807	d24 = 0.1800	n13 = 1.79013	ν13 = 44.2
r25 = 4.3616	d25 = 0.4501	n14 = 1.81265	ν14 = 25.4
r26 = 16.4495	d26 = 0.4944
r27 = −5.5526	d27 = 0.1600	n15 = 1.73234	ν15 = 54.7
r28 = 4.6918	d28 = 1.1821	n16 = 1.59911	ν16 = 39.2
r29 = −2.9814	d29 = 2.4000
r30 = 63.7345	d30 = 0.7983	n17 = 1.48915	ν17 = 70.2
r31 = −3.4322	d31 = 0.0200
r32 = −4.1568	d32 = 0.2200	n18 = 1.79013	ν18 = 44.2
r33 = 3.6746	d33 = 0.6531	n19 = 1.50349	ν19 = 56.4
r34 = −5.7622	d34 = 0.1100
r35 = −19.4539	d35 = 0.5937	n20 = 1.55099	ν20 = 45.8
r36 = −2.6528	d36 = 0.2200	n21 = 1.81265	ν21 = 25.4
r37 = −6.0262	d37 = 0.0200
r38 = 6.7418	d38 = 0.7030	n22 = 1.51977	ν22 = 52.4
r39 = −5.6512	d39 = 0.5000
r40 = ∞	d40 = 5.0000	n23 = 1.51825	ν23 = 64.2
r41 = ∞

Focal Length

	variable interval	1.00	6.48	44.00
	d 8	0.34	9.15	12.24
	d15	17.94	7.31	0.34
	d22	0.33	2.15	6.03

Aspherical Shape

17th Surface

R=−8.1836 A=0 B=2.248·10 −4

C=2.823·10 −6 D=−1.199·10 −7 E=−2.476·10 −8

21st surface

R=11.0730 A=0 B=−6.460·10 −6

C=−2.133·10 −7 D=−8.350·10 −8 E=−1.853·10 −8

Numeral Embodiment 4

f = 1 to 18.5   fno = 1:1.54 to 1.85   2ω = 74.8° to 4.7°
r1 = 45.8264	d1 = 0.6528	n1 = 1.77621	ν1 = 49.6
r2 = 12.6882	d2 = 5.2005
r3 = −23.6007	d3 = 0.6250	n2 = 1.77621	ν2 = 49.6
r4 = −188.0964	d4 = 0.0208
r5 = 31.2041	d5 = 1.4504	n3 = 1.72311	ν3 = 29.5
r6 = 87.3082	d6 = 1.2989
r7 = −164.9179	d7 = 2.0140	n4 = 1.49845	ν4 = 81.5
r8 = −21.9184	d8 = 0.0278
r9 = −328.2393	d9 = 0.6111	n5 = 1.81265	ν5 = 25.4
r10 = 32.4918	d10 = 1.9938	n6 = 1.49845	ν6 = 81.5
r11 = −49.6788	d11 = 4.6873
r12 = 122.4153	d12 = 2.5195	n7 = 1.49845	ν7 = 81.5
r13 = −23.5407	d13 = 0.0208
r14 = 27.5327	d14 = 1.8824	n8 = 1.49845	ν8 = 81.5
r15 = −342.7973	d15 = 0.0208
r16 = 16.2862	d16 = 1.1834	n9 = 1.62286	ν9 = 60.3
r17 = 25.6486	d17 = variable
*r18 = 11.2637	d18 = 0.2083	n10 = 1.88815	ν10 = 40.8
r19 = 6.0165	d19 = 0.8647
r20 = −59.2052	d20 = 0.2083	n11 = 1.77621	V11 = 49.6
r21 = 15.1451	d21 = 0.8782
r22 = −7.1449	d22 = 0.2083	n12 = 1.77621	ν12 = 49.6
r23 = −130.1985	d23 = 1.1332	n13 = 1.81643	ν13 = 22.8
r24 = −5.7246	d24 = 0.1212
r25 = −5.1946	d25 = 0.2083	n14 = 1.82017	ν14 = 46.6
r26 = −27.5533	d26 = variable
r27 = 111.1111	d27 = 0.8814	n15 = 1.50014	ν15 = 65.0
*r28 = −15.6333	d28 = 0.0278
r29 = 43.0926	d29 = 0.3472	n16 = 1.65223	ν16 = 33.8
r30 = 11.9784	d30 = 1.4619	n17 = 1.59143	ν17 = 61.2
r31 = −20.8564	d31 = 0.0278
r32 = 29.0349	d32 = 1.2777	n18 = 1.60548	ν18 = 60.7
r33 = −13.4066	d33 = 0.3472	n19 = 1.85501	ν19 = 23.9
r34 = −29.5167	d34 = 0.0278
*r35 = 19.7407	d35 = 1.0348	n20 = 1.48915	ν20 = 70.2
r36 = −25.4667	d36 = variable
r37 = ∞(stop)	d37 = 0.7442
r38 = −6.3287	d38 = 0.2083	n21 = 1.73234	ν21 = 54.7
r39 = 5.3739	d39 = 0.6603	n22 = 1.85504	ν22 = 23.8
r40 = 10.1827	d40 = 0.8639
r41 = −4.5526	d41 = 0.2500	n23 = 1.75844	ν23 = 52.3
r42 = −67.1883	d42 = 1.1601	n24 = 1.73429	ν24 = 28.5
r43 = −4.3603	d43 = 3.1250
r44 = −147.8366	d44 = 0.2500	n25 = 1.75844	ν25 = 52.3
r45 = 4.6357	d45 = 1.5711	n26 = 1.55098	ν26 = 45.8
r46 = −7.3254	d46 = 0.0278
r47 = 13.3219	d47 = 0.2500	n27 = 1.83932	ν27 = 37.2
r48 = 4.5049	d48 = 1.1166	n28 = 1.48915	ν28 = 70.2
r49 = −33.1440	d49 = 0.0278
r50 = 21.4663	d50 = 1.1406	n29 = 1.49845	ν29 = 81.5
r51 = −5.0192	d51 = 0.2500	n30 = 1.81264	ν30 = 25.4
r52 = −32.5034	d52 = 0.0694
r53 = 12.0186	d53 = 1.2148	n31 = 1.48915	ν31 = 70.2
r54 = −5.5637	d54 = 0.6944
r55 = ∞	d55 = 6.9444	n32 = 1.51825	ν32 = 64.2
r56 = ∞

Focal Length

	variable interval	1.00	4.41	18.50
	d17	0.72	10.45	14.65
	d26	20.79	8.86	0.73
	d36	0.30	2.51	6.44

Aspherical Shape

18th Surface

R=11.2637 A=0 B=0

C=1.157·10 −5 D=−1.003·10 −6 E=2.183·10 −8

28th Surface

R=−15.6333 A=0 B=8.805·10 −5

C=5.928·10 −6 D=−3.655·10 −7 E=7.795·10 −9

35th Surface

R=19.7407 A=0 B=0

C=−6.772·10 −7 D=−2.508·10 −10 E= 0

Numeral Embodiment 5

f = 1 to 18.5   fno = 1:1.54 to 1.85   2ω = 74.8° to 4.7°
r1 = 45.9243	d1 = 0.6528	n1 = 1.77621	ν1 = 49.6
r2 = 14.0645	d2 = 5.0480
r3 = −25.4381	d3 = 0.6250	n2 = 1.77621	ν2 = 49.6
r4 = 2688.8567	d4 = 0.0208
r5 = 34.2280	d5 = 1.2885	n3 = 1.72311	ν3 = 29.5
r6 = 96.0192	d6 = 1.2292
r7 = −183.5350	d7 = 2.1223	n4 = 1.49845	ν4 = 81.5
r8 = −21.9311	d8 = 0.0278
r9 = −226.7499	d9 = 0.6111	n5 = 1.81265	ν5 = 25.4
r10 = 37.5326	d10 = 1.8860	n6 = 1.49845	ν6 = 81.5
r11 = −56.6509	d11 = 5.0113
r12 = 82.3692	d12 = 2.3719	n7 = 1.49845	ν7 = 81.5
r13 = −25.2551	d13 = 0.0208
r14 = 28.2477	d14 = 1.7269	n8 = 1.49845	ν8 = 81.5
r15 = −596.9330	d15 = 0.0208
r16 = 16.3670	d16 = 1.1995	n9 = 1.62286	ν9 = 60.3
r17 = 24.7320	d17 = variable
r18 = 12.1265	d18 = 0.2083	n10 = 1.88815	ν10 = 40.8
r19 = 6.5623	d19 = 0.8078
r20 = −33.3281	d20 = 0.2083	n11 = 1.77621	ν11 = 49.6
r21 = 16.5485	d21 = 0.8908
r22 = −7.1723	d22 = 0.2083	n12 = 1.77621	ν12 = 49.6
r23 = −84.4939	d23 = 1.1282	n13 = 1.81643	ν13 = 22.8
r24 = −5.4494	d24 = 0.0938
r25 = −5.1180	d25 = 0.2083	n14 = 1.82017	ν14 = 46.6
r26 = −34.9377	d26 = variable
r27 = −105.2966	d27 = 0.7315	n15 = 1.62287	ν15 = 60.3
*r28 = −13.5994	d28 = 0.0278
r29 = 54.7497	d29 = 0.3472	n16 = 1.65223	ν16 = 33.8
r30 = 8.3181	d30 = 1.7793	n17 = 1.59143	ν17 = 61.2
r31 = −21.6110	d31 = 0.0278
r32 = 26.2645	d32 = 1.2422	n18 = 1.60548	ν18 = 60.7
r33 = −13.8744	d33 = 0.3482	n19 = 1.85501	ν19 = 23.9
r34 = −36.3407	d34 = 0.0278
r35 = 18.6093	d35 = 1.0804	n20 = 1.62032	ν20 = 63.4
r36 = −21.5963	d36 = variable
r37 = ∞(stop)	d37 = 0.4442
r38 = −7.9270	d38 = 0.2083	n21 = 1.73234	ν21 = 54.7
r39 = 4.8729	d39 = 0.5829	n22 = 1.85504	ν22 = 23.8
r40 = 9.8342	d40 = 0.8534
r41 = −4.6154	d41 = 0.2500	n23 = 1.75844	ν23 = 52.3
r42 = 17.2111	d42 = 1.2241	n24 = 1.73429	ν24 = 28.5
r43 = −4.8554	d43 = 3.1250
r44 = −24.5683	d44 = 0.2500	n25 = 1.75844	ν25 = 52.3
r45 = 4.3724	d45 = 1.4629	n26 = 1.55098	ν26 = 45.8
r46 = −6.0628	d46 = 0.0278
r47 = 17.1779	d47 = 0.2500	n27 = 1.83932	ν27 = 37.2
r48 = 4.2602	d48 = 1.1060	n28 = 1.48915	ν28 = 70.2
r49 = −22.5184	d49 = 0.0278
r50 = 17.9182	d50 = 1.1574	n29 = 1.49845	ν29 = 81.5
r51 = −4.5914	d51 = 0.2500	n30 = 1.81264	ν30 = 25.4
r52 = −20.9320	d52 = 0.0694
r53 = 12.4418	d53 = 1.1936	n31 = 1.48915	ν31 = 70.2
r54 = −5.1665	d54 = 0.6944
r55 = ∞	d55 = 6.9444	n32 = 1.51825	ν32 = 64.2
r56 = ∞

Focal Length

	variable interval	1.00	4.35	18.50
	d17	0.79	11.07	15.67
	d26	20.88	8.70	0.61
	d36	0.30	2.20	5.69

Aspherical Shape

28th Surface

R=−13.5994 A=0 B=8.279·10 −5

C=5.365·10 −6 D=−3.692·10 −7 E=1.091·10 −8

Numeral Embodiment 6

f = 1 to 18.5   fno = 1:1.54 to 1.85   2ω = 74.8° to 4.7°
r1 = .38.0846	d1 = 0.6528	n1 = 1.77621	ν1 = 49.6
r2 = 12.9040	d2 = 4.4900
r3 = −22.9321	d3 = 0.6250	n2 = 1.77621	ν2 = 49.6
r4 = −345.3842	d4 = 0.0208
r5 = 29.3912	d5 = 1.2107	n3 = 1.72311	ν3 = 29.5
r6 = 47.0209	d6 = 1.5715
r7 = −132.6017	d7 = 1.7122	n4 = 1.49845	ν4 = 81.5
r8 = −22.7067	d8 = 0.0278
r9 = −81.7732	d9 = 0.6111	n5 = 1.81265	ν5 = 25.4
r10 = 46.6166	d10 = 2.0418	n6 = 1.49845	ν6 = 81.5
r11 = −33.2733	d11 = 4.5282
r12 = 107.4889	d12 = 2.7698	n7 = 1.49845	ν7 = 81.5
r13 = −21.5806	d13 = 0.0208
r14 = 30.1592	d14 = 1.7936	n8 = 1.49845	ν8 = 81.5
r15 = −282.9218	d15 = 0.0208
r16 = 16.8622	d16 = 1.4491	n9 = 1.62286	ν9 = 60.3
r17 = 35.7872	d17 = variable
r18 = 14.8620	d18 = 0.2083	n10 = 1.88815	ν10 = 40.8
r19 = 6.0181	d19 = 0.7879
r20 = 457.3543	d20 = 0.2083	n11 = 1.77621	ν11 = 49.6
r21 = 14.5054	d21 = 0.9679
r22 = −6.8099	d22 = 0.2083	n12 = 1.77621	ν12 = 49.6
r23 = −83.2980	d23 = 1.1695	n13 = 1.81643	ν13 = 22.8
r24 = −5.6115	d24 = 0.0887
r25 = −5.3356	d25 = 0.2083	n14 = 1.82017	ν14 = 46.6
r26 = −24.2390	d26 = variable
*r27 = 122.0833	d27 = 1.0113	n15 = 1.50014	ν15 = 65.0
r28 = −16.4697	d28 = 0.0278
r29 = 52.0381	d29 = 0.3472	n16 = 1.65223	ν16 = 33.8
r30 = 11.7912	d30 = 1.6735	n17 = 1.59143	ν17 = 61.2
r31 = −21.0807	d31 = 0.0278
r32 = 25.2138	d32 = 1.3702	n18 = 1.60548	ν18 = 60.7
r33 = −14.1035	d33 = 0.3472	n19 = 1.85501	ν19 = 23.9
r34 = −43.4461	d34 = 0.0278
r35 = 20.5894	d35 = 1.1228	n20 = 1.48915	ν20 = 70.2
r36 = −22.9760	d36 = variable
r37 = ∞(stop)	d37 = 0.5039
r38 = −7.6277	d38 = 0.2083	n21 = 1.73234	ν21 = 54.7
r39 = 5.5096	d39 = 0.5761	n22 = 1.85504	ν22 = 23.8
r40 = 14.3406	d40 = 0.8042
r41 = −5.4519	d41 = 0.2500	n23 = 1.75844	ν23 = 52.3
r42 = 15.0651	d42 = 1.2105	n24 = 1.73429	ν24 = 28.5
r43 = −5.4604	d43 = 3.1250
r44 = −78.3771	d44 = 0.2500	n25 = 1.75844	ν25 = 52.3
r45 = 4.4416	d45 = 1.5607	n26 = 1.55098	ν26 = 45.8
r46 = −6.4974	d46 = 0.0278
r47 = 15.2730	d47 = 0.2500	n27 = 1.83932	ν27 = 37.2
r48 = 4.2930	d48 = 1.1380	n28 = 1.48915	ν28 = 70.2
r49 = −26.0421	d49 = 0.0278
r50 = 18.7094	d50 = 1.1796	n29 = 1.49845	ν29 = 81.5
r51 = −4.5199	d51 = 0.2500	n30 = 1.81264	.ν30 = 25.4
r52 = −31.6856	d52 = 0.0694
r53 = 13.0447	d53 = 1.2114	n31 = 1.48915	ν31 = 70.2
r54 = −5.1826	d54 = 0.6944
r55 = ∞	d55 = 6.9444	n32 = 1.51825	ν32 = 64.2
r56 = ∞

Focal Length

	variable interval	1.00	4.31	18.50
	d17	0.40	9.47	13.47
	d26	20.29	8.76	0.31
	d36	0.30	2.76	7.21

Aspherical Shape

27th Surface

R=122.0833 A=0 B=−8.285·10 −5

C=−4.987·10 −6 D=3.731·10 −7 E=−1.049·10 −8

Numeral Embodiment 7

f = 1 to 44   fno = 1:1.75 to 3.0   2ω = 54.6° to 1.4°
r1 = 37.7306	d1 = 0.5500	n1 = 1.72311	ν1 = 29.5
r2 = 17.7964	d2 = 0.0464
r3 = 17.6001	d3 = 2.2326	n2 = 1.43496	ν2 = 95.1
r4 = −64.0388	d4 = 0.0300
r5 = 17.4550	d5 = 1.7977	n3 = 1.43496	ν3 = 95.1
r6 = −4776.2793	d6 = 0.0300
r7 = 12.9299	d7 = 1.3001	n4 = 1.49845	ν4 = 81.6
r8 = 29.3265	d8 = variable
r9 = 57.1775	d9 = 0.2000	n5 = 1.82017	ν5 = 46.6
r10 = 5.0465	d10 = 0.7073
r11 = −9.3967	d11 = 0.1800	n6 = 1.77621	ν6 = 49.6
r12 = 7.4009	d12 = 0.4939
r13 = −6.4079	d13 = 0.1800	n7 = 1.82017	ν7 = 46.6
r14 = 5.4362	d14 = 0.5866	n8 = 1.93306	ν8 = 21.3
r15 = −23.6964	d15 = variable
r16 = 62.7719	d16 = 0.5814	n9 = 1.50014	ν9 = 65.0
*r17 = −10.0563	d17 = 0.0300
r18 = 17.2321	d18 = 0.2500	n10 = 1.65223	ν10 = 33.8
r19 = 8.4806	d19 = 0.9016	n11 = 1.49845	V11 = 81.6
r20 = −14.4782	d20 = 0.0200
r21 = 17.4955	d21 = 0.8900	n12 = 1.45720	ν12 = 90.3
r22 = −9.0888	d22 = 0.2500	n13 = 1.85501	ν13 = 23.9
r23 = −17.4327	d23 = 0.0200
r24 = 30.0842	d24 = 0.7653	n14 = 1.48915	ν14 = 70.2
r25 = −10.2082	d25 = variable
r26 = ∞(stop)	d26 = 0.3003
r27 = −5.6276	d27 = 0.1800	n15 = 1.79013	ν15 = 44.2
r28 = 4.0682	d28 = 0.5255	n16 = 1.81265	ν16 = 25.4
r29 = 29.9636	d29 = 0.5552
r30 = −4.1276	d30 = 0.1600	n17 = 1.73234	ν17 = 54.7
r31 = 3.9188	d31 = 1.1252	n18 = 1.59911	ν18 = 39.2
r32 = −3.1709	d32 = 2.4000
r33 = −42.9754	d33 = 0.7555	n19 = 1.48915	ν19 = 70.2
r34 = −3.3839	d34 = 0.0200
r35 = −4.7620	d35 = 0.2200	n20 = 1.79013	ν20 = 44.2
r36 = 3.7898	d36 = 0.7084	n21 = 1.50349	ν21 = 56.4
r37 = −5.7990	d37 = 0.1100
r38 = −27.8346	d38 = 0.6393	n22 = 1.55099	ν22 = 45.8
r39 = −2.4633	d39 = 0.2200	n23 = 1.81265	ν23 = 25.4
r40 = −6.0843	d40 = 0.0200
r41 = 6.2580	d41 = 0.6308	n24 = 1.51977	ν24 = 52.4
r42 = −5.9488	d42 = 0.5000
r43 = ∞	d43 = 5.0000	n25 = 1.51825	ν25 = 64.2
r44 = ∞

Focal Length

	variable interval	1.00	6.64	44.00
	d 8	0.31	8.66	11.48
	d15	17.47	7.16	0.30
	d25	0.33	2.30	6.34

Aspherical Shape

17th Surface

R=−10.0563 A=0 B=6.087·10 −4

C=1.467·10 −5 D=−1.827·10 −7 E=2.015·10 −8

Numeral Embodiment 8

f = 1 to 50   fno = 1:1.75 to 3.0   2ω = 54.6° to 1.3°
r1 = 45.1143	d1 = 0.5500	n1 = 1.72311	ν1 = 29.5
r2 = 20.8674	d2 = 0.1589
r3 = 20.5864	d3 = 3.2354	n2 = 1.43496	ν2 = 95.1
r4 = −66.6973	d4 = 0.0300
r5 = 22.3339	d5 = 2.0925	n3 = 1.43496	ν3 = 95.1
r6 = 430.2882	d6 = 0.0300
r7 = 15.0782	d7 = 1.9079	n4 = 1.49845	ν4 = 81.6
r8 = 38.7938	d8 = variable
r9 = 33.3548	d9 = 0.2000	n5 = 1.82017	ν5 = 46.6
r10 = 5.7436	d10 = 0.6190
r11 = −14.8253	d11 = 0.1800	n6 = 1.77621	ν6 = 49.6
r12 = 5.4625	d12 = 0.8729
r13 = −5.3937	d13 = 0.1800	n7 = 1.82017	ν7 = 46.6
r14 = 5.7486	d14 = 0.9282	n8 = 1.93306	ν8 = 21.3
r15 = −21.4529	d15 = variable
r16 = 211.8961	d16 = 0.8526	n9 = 1.50014	ν9 = 65.0
*r17 = −8.0328	d17 = 0.0300
r18 = 14.5592	d18 = 0.2500	n10 = 1.65223	ν10 = 33.8
r19 = 6.2661	d19 = 1.6752	n11 = 1.49845	ν11 = 81.6
r20 = −15.1961	d20 = 0.0200
r21 = 12.1178	d21 = 1.2133	n12 = 1.45720	ν12 = 90.3
r22 = −12.7729	d22 = 0.2500	n13 = 1.85501	ν13 = 23.9
r23 = −29.2539	d23 = 0.0200
*r24 = 23.7180	d24 = 0.9740	n14 = 1.48915	ν14 = 70.2
r25 = −11.5841	d25 = variable
r26 = ∞(stop)	d26 = 0.2787
r27 = −5.4190	d27 = 0.1800	n15 = 1.79013	ν15 = 44.2
r28 = 3.1625	d28 = 0.5700	n16 = 1.81265	ν16 = 25.4
r29 = 13.9958	d29 = 0.5775
r30 = −3.2033	d30 = 0.1600	n17 = 1.73234	ν17 = 54.7
r31 = 3.8274	d31 = 1.3634	n18 = 1.59911	ν18 = 39.2
r32 = −2.8825	d32 = 2.4000
r33 = 18.3837	d33 = 0.2000	n19 = 1.77621	ν19 = 49.6
r34 = 7.1717	d34 = 0.9324	n20 = 1.48915	ν20 = 70.2
r35 = −3.2778	d35 = 0.0200
r36 = −4.1362	d36 = 0.2000	n21 = 1.79013	ν21 = 44.2
r37 = 5.3049	d37 = 0.6558	n22 = 1.50349	ν22 = 56.4
r38 = −4.6150	d38 = 0.1100
r39 = −107.7625	d39 = 0.6628	n23 = 1.55099	ν23 = 45.8
r40 = −2.7638	d40 = 0.2000	n24 = 1.81265	ν24 = 25.4
r41 = −6.5763	d41 = 0.0200
r42 = 9.2058	d42 = 0.5358	n25 = 1.51977	ν25 = 52.4
r43 = −7.4479	d43 = 0.5000
r44 = ∞	d44 = 5.0000	n26 = 1.51825	ν26 = 64.2
r45 = ∞

Focal Length

	variable interval	1.00	7.11	50.00
	d 8	0.27	10.52	13.88
	d15	19.37	7.30	0.15
	d25	0.33	2.15	5.94

Aspherical Shape

17th Surface

R=−8.0328 A=0 B=4.466·10 −4

C=4.166 10 −6 D=6.631·10 −7 E=−2.89·10 −8

24th Surface

R=23.7180 A=0 B=−2.876·10 −4

C=−3.022·10 −7 D=−2.319·10 −7 E=6.130·10 −9

The following are the numerical values set in the conditions in the respective embodiments.

	Embodiments
Condition	1	2	3	4	5	6	7	8
(3)	0.89	0.84	0.83	0.88	0.85	0.92	0.99	0.77
(4)	1.55	1.55	1.55	1.55	1.61	1.55	1.49	1.49
(5)	64.3	64.3	66.8	64.3	61.4	64.3	76.8	76.8
(6)	2.27	2.09	2.09	2.27	2.76	1.89	1.86	2.43
(7)	0.72	0.61	0.61	0.72	0.74	0.71	0.60	0.57

According to the zoom lens of the present invention, in a so-called 4-unit zoom lens, aspherical surfaces having appropriate shapes are provided for a third lens unit for correcting variations in image surface upon a zooming operation and a second lens unit for a zooming operation, and refracting powers and the like are properly set for the respective lens units, thereby reducing variations in halo/coma accompanying the zooming operation. In addition, variations in spherical aberration, astigmatism, and the like can be properly corrected, and high optical performance throughout the entire zoom range, an f-number of about 1.5 to 1.8 at the wide-angle end, and a large aperture with a high zoom ratio of about 18 to 50 can be attained.

Claims

1. A zoom lens comprising a first lens unit having a positive refracting power and being fixed during zooming, a second lens unit having a negative refracting power and being movable during zooming, a third lens unit having a positive refracting power and used to correct image surface by the zooming, and a fourth lens unit having a positive refracting power, said lens units being sequentially arranged from an object side,wherein an intermediate focal length fm is given by fm=fw·z½where fw is a wide-angle focal length, and z is a zoom ratio, and an aspherical surface shaped to decrease a positive refracting power or increase a negative refracting power is provided at a lens surface of said third lens unit which satisfies1≦|h3′/h3|where h3 is a height at which an on-axial marginal ray passes, and h3′ is a height at which an off-axial marginal ray that is formed into an image at a maximum image height passes, at this intermediate focal length fm.

2. A lens according to claim 1, wherein said third lens unit is made up of at least three convex lenses and at least one concave lens, and satisfies0.5≦f3/D3≦1.5 1.45≦n3≦1.65 55≦ν3≦85 where f3 is a focal length of said third lens unit, D3 is a maximum aperture, n3 is an average refractive index of the convex lenses, and ν3 is an average Abbe's number of the convex lenses.

3. A lens according to claim 1, wherein said second and third lens units move in directions to decrease an interval therebetween in magnifying operation from the wide-angle end to the telephoto end, and satisfy1.6≦m2/m3≦3.0 0.3≦β2/β3≦1.2 where m2 and m3 are total moving amounts of said second and third lens units, and β2 and β3 are lateral magnifications at the wide-angle end.

4. A lens according to claim 1, wherein said second lens unit includes at least one aspherical surface shaped to gradually decrease a concave refracting power toward a peripheral portion.

5. A lens according to claim 1, wherein said second and third lens units simultaneously pass through the point where imaging magnifications of said second and third lens units is −1-time during zooming from the wide-angle end to the telephoto end.