JP3984231B2 - Zoom lens - Google Patents

Description

    The present invention relates to a zoom lens, and more particularly to a wide-angle zoom lens suitable for a video camera.

    In recent years, as a conventional example of a zoom lens for a consumer video camera, for example, a positive, negative, positive, positive four-group configuration from the object side as described in JP-A-62-178917, The second group has a zooming action, and the fourth group is a type of lens system that performs image position correction and focusing by zooming. Many zoom lenses of this type have an angle of view (2ω) at the wide-angle end of about 50 °. As another conventional example, a lens system having an angle of view of about 60 °, such as a lens system described in JP-A-5-72475 or JP-A-5-134178, is also known. The former conventional example devises the configuration of the first group, and the latter conventional example realizes a wide angle by moving the diaphragm.

    However, in the case of the former conventional example, the configuration of the first group is complicated, and the number of lenses in the first group increases. In the latter conventional example, the structure of the lens frame is complicated.

    The present invention has been made in view of such circumstances, and an object of the present invention is to provide a wide-angle zoom lens suitable for a video camera without complicating the lens configuration and the lens frame configuration. .

    In the above-described conventional four-group zoom lens, the second group mainly has a zooming action, while the fourth group corrects the image position accompanying the zooming and has almost no zooming action. For this reason, when zooming from the wide-angle end to the telephoto end, the fourth lens group once moves to the object side, then moves to the image side, and is at substantially the same position at the wide-angle end and the telephoto end. In this type of zoom lens, it is necessary to increase the positive refractive power of the first group in order to efficiently change the magnification in the second group. Therefore, the off-axis ray height passing through the first group on the wide angle side is high. It became high and it was difficult to widen the angle of view.

    The zoom lens of the present invention has, in order from the object side, a first group having a positive refractive power, a second group having a negative refractive power, a third group having a positive or negative refractive power, and a positive refractive power. Consists of the fourth group, and when zooming, moves the second group and the fourth group. The fourth group monotonously moves from the wide-angle end to the telephoto end toward the object side, and satisfies the following conditions: This is a wide-angle lens system characterized by that.

(1) 0 <f ₄ / f ₁ <0.45
(2) −1.6 <β _4T <−0.5
Here, f ₁ is the focal length of the first group, f ₄ is the focal length of the fourth group, and β _4T is the magnification at the telephoto end of the fourth group.

    In the zoom lens of the present invention, the fourth group moves monotonously from the wide angle end to the telephoto end toward the object side, and the fourth group has a main zooming action. Therefore, the zooming action in the second group can be reduced, so that the refractive power of the first group can be reduced and a wide angle of view can be achieved. Further, in order to have an efficient zooming action in the fourth group, the lens has a sufficiently strong refractive power and an appropriate imaging magnification compared to the first group.

    Condition (1) defines the ratio of the refractive powers of the first group and the fourth group. If the upper limit of 0.45 of the condition (1) is exceeded, the height of off-axis rays passing through the first group becomes high, the first group increases, and it becomes difficult to widen the angle of view. If the lower limit of 0 in the condition (1) is exceeded, the zooming efficiency in the second lens unit will deteriorate, and the total length of the lens will increase.

    Condition (2) defines the magnification at the telephoto end of the fourth lens group. If the upper limit of −0.5 of the condition (2) is exceeded, the zooming efficiency in the fourth lens unit becomes poor and the total length of the lens becomes large. When the lower limit of −1.6 of condition (2) is exceeded, the combined refractive power from the first group to the third group becomes excessively strong, making it difficult to widen the angle.

    As described above, in the present invention, zooming can be performed efficiently in the second group and the fourth group. Therefore, the first group and the third group can be fixed during zooming, which is desirable in terms of mechanism.

    When the lens system has a wide angle of view and uses a small image sensor as in the present invention, normal shooting can be performed without deep focusing and without performing focusing. However, when shooting to a closer distance, it is necessary to perform focusing.

    In the zoom lens of the present invention, it is desirable to perform focusing by moving the second group along the optical axis. In the zoom lens of the present invention, the second group has a relatively small absolute value of the imaging magnification and is suitable for focusing with the second group. Furthermore, since the second lens unit is located on the image side at the telephoto end with respect to the wide-angle end, a sufficient interval for focusing on the second lens unit can be secured on the telephoto side, which is suitable for photographing at a closer distance. ing. When focusing in the second group, it is preferable that the following condition (3) is satisfied.

(3) −0.6 <β _2T <0
Where β _2T is the magnification at the telephoto end of the second lens group.

    If the lower limit of -0.6 in condition (3) is exceeded, the amount of focusing will increase, which is not preferable. On the other hand, when the upper limit of 0 is exceeded, the zooming efficiency of the second lens unit becomes worse and the total lens length increases.

    Next, with respect to the position of the stop, it is desirable that the stop be disposed between the second group and the fourth group and fixed on the optical axis. In order to achieve both a wide angle of view and simplification of the lens configuration and the lens frame configuration, the aperture position is important. Arranging the stop substantially at the center of the optical system for widening the angle of view is advantageous for downsizing the first group and the fourth group. Therefore, in the lens system of the present invention, it is desirable to dispose the stop between the second group and the fourth group, and further, if it is fixed on the optical axis, the lens frame configuration does not become complicated.

    Next, in order to reduce the size of the lens system, it is preferable to satisfy the following condition (4).

(4) 1.2Xβ _2T / β _2W <β _4T / β _4W <5.6Xβ _2T / β _2W
Where β _2W is the magnification at the wide-angle end of the second group, β _2T is the magnification at the telephoto end of the second group, β _4W is the magnification at the wide-angle end of the fourth group, and β _4T is the telephoto end of the fourth group It is the magnification at.

    Condition (4) defines the sharing of magnification between the second group and the fourth group. If the lower limit of the condition (4) is exceeded, the amount of change in magnification of the second group increases, the off-axis rays passing through the first group increase on the wide angle side, and the size of the first group increases. When the upper limit is exceeded, off-axis rays passing through the fourth group on the wide angle side become high, and the diameter of the fourth group becomes large, resulting in an increase in size.

    In order to reduce the size of the lens system and ensure performance, it is preferable to satisfy the following conditions (5), (6), and (7).

(5) 0 <f _W / f ₁ <0.2
(6) 0.2 <f _W / f ₄ <0.7
(7) -0.2 <f ₄ / f ₃ <0.6
However, f _W is the focal length of the entire system at the wide angle end, f ₄ is the focal length of the fourth group, and f ₃ is the focal length of the third group.

    Condition (5) defines the focal length of the first group. If the upper limit of 0.2 of the condition (5) is exceeded, the size of the first group increases, which is disadvantageous for widening the angle of view. Exceeding the lower limit of 0 in condition (5) is disadvantageous for correcting negative distortion on the wide angle side.

    Condition (6) defines the focal length of the fourth group. If the upper limit of 0.7 of the condition (6) is exceeded, the variation in aberration due to zooming increases. On the other hand, if the lower limit of 0.2 of the condition (6) is exceeded, the moving amount of the fourth group becomes large and the total length increases.

    Condition (7) defines the ratio of the focal lengths of the third group and the fourth group. If the upper limit of 0.6 of condition (7) is exceeded, it is disadvantageous for securing the back focus, and it is disadvantageous for the arrangement of optical filters and the like. If the lower limit of −0.2 is exceeded, the on-axis light beam in the fourth group becomes high, which is disadvantageous for increasing the aperture.

    Next, in the zoom lens of the present invention, when an aspherical surface is introduced into the fourth group, it is preferable that the following is performed according to the position of the aspherical surface.

    In the case where the fourth group is composed of three lenses in order from the object side, a positive lens, a negative meniscus lens having a convex surface facing the object side, and a positive lens, and the most positive lens on the object side includes an aspherical surface. It is desirable that the negative meniscus lens satisfies the following condition (8).

(8) 1.1 <(r _F + r _R ) / (r _F −r _R ) <4.0
Where r _F is the radius of curvature of the object side surface of the negative meniscus lens of the fourth group, and r _R is the radius of curvature of the image side surface of the negative meniscus lens of the fourth group.

    As described above, when an aspherical surface is introduced into the positive lens closest to the object side in the fourth group, spherical aberration can be mainly corrected by the aspherical surface, so the negative lens is advantageous for correcting off-axis aberrations such as astigmatism. It is preferable to use a meniscus shape with a convex surface facing the object side. In that case, a simple configuration of three can be achieved. If the lower limit value 1.1 of the condition (8) is exceeded, the off-axis aberration will be undercorrected, and if the upper limit value 4.0 is exceeded, the off-axis aberration will be overcorrected.

    On the other hand, when an aspherical surface is introduced to the most image-side positive lens in the fourth group, it is desirable to do the following. That is, the fourth lens group is composed of three lenses in order from the object side: a positive lens, a biconcave negative lens, and a positive lens. The most positive lens on the image side includes an aspheric surface. It is desirable to satisfy 9).

(9) −0.9 <(r _F + r _R ) / (r _F −r _R ) <0.9
Where r _F is the radius of curvature of the object-side surface of the negative lens in the fourth group, and r _R is the radius of curvature of the image-side surface of the negative lens in the fourth group.

    As described above, when an aspherical surface is introduced into the fourth lens unit's most image-side positive lens, the aspherical surface enhances the effect of correcting off-axis aberrations such as astigmatism. It is preferable to use a biconcave shape that is also advantageous for correction of this, and in this case as well, a simple configuration of three sheets can be achieved. Exceeding the lower limit of -0.9 in condition (9) causes off-axis aberrations to be undercorrected, and exceeding the upper limit of 0.9 results in over-correction of off-axis aberrations.

    The case where an aspherical surface is used for the fourth group has been described above, but it goes without saying that even if an aspherical surface is used for a group other than the fourth group, the size can be reduced and the number of lenses can be reduced. When an aspheric surface is used for a group having a positive refractive power other than the fourth group, a shape in which the positive refractive power becomes weaker or the negative refractive power becomes stronger as the aspheric surface is moved away from the optical axis. It is good to do. When an aspheric surface is used for a group having a negative refractive power, the shape of the aspheric surface is such that the negative refractive power decreases or the positive refractive power increases as the distance from the optical axis increases. Good.

Next, in order to reduce the cost of the lens, the first group may be composed of a single positive lens. Since the zoom lens of the present invention has a wide angle of view, the focal length is short, and the refractive power of the first group is relatively weak, so that the chromatic aberration generated in the first group is small. Therefore, the first group can be composed of one positive lens. For the same reason, the third group may be composed of one single lens. A plastic lens may be used for the first group or the third group. Since the first group and the third group have a weak refractive power, the variation in the focal position due to changes in temperature and humidity is small, which is advantageous for using a plastic lens.

    In the zoom lens according to the present invention, it has been described that it is preferable to perform focusing in the second lens group. However, in addition to this, focusing is performed by moving the entire lens or moving the image sensor. May be.

    According to the present invention, a high-performance video camera having a wide-angle field angle of about 70 ° and a zoom ratio of 3 to 4 without complicating the lens configuration and the lens frame configuration with a four-group zoom lens. Can be realized.

    Next, embodiments of the zoom lens according to the present invention will be described based on each example.

    The embodiment of the zoom lens according to the present invention includes a first group having a positive refractive power and a second group having a negative refractive power in order from the object side, as in the embodiments shown in FIGS. The third group having positive or negative refractive power and the fourth group having positive refractive power, and the second group and the fourth group move as shown in the drawings at the time of zooming. is there. The diaphragm is disposed between the second group and the third group or between the third group and the fourth group, and is fixed on the optical axis. In the embodiment, focusing is performed by moving the second lens group, but may be performed by moving the entire lens system or by moving the image sensor.

    In the drawing, a plane-parallel plate is drawn on the image side of the fourth group, but these are assumed to be optical members such as an optical filter.

    Next, each example will be described. The following data shows each example.

Example 1
f = 4.80-8.31-14.40, F / 2.80-F / 3.13-F / 4.36
2ω = 70.0 ° -41.4 ° -24.4 °
r ₁ = 30.2217 d ₁ = 3.2000 n ₁ = 1.48749 ν ₁ = 70.21
r ₂ = -404.5108 d ₂ = D ₁ (variable)
r ₃ = 28.5136 d ₃ = 1.0000 n ₂ = 1.77250 ν ₂ = 49.60
r ₄ = 5.6270 d ₄ = 3.9224
r ₅ = -25.7015 d ₅ = 1.0000 n ₃ = 1.48749 ν ₃ = 70.21
r ₆ = 11.1428 d ₆ = 2.8000 n ₄ = 1.72825 ν ₄ = 28.46
r ₇ = 69.3916 (aspherical surface) d ₇ = D ₂ (variable)
r ₈ = ∞ (aperture) d ₈ = 1.000
r ₉ = 13.6604 d ₉ = 2.1169 n ₅ = 1.69680 ν ₅ = 55.53
r ₁₀ = 679.9383 d ₁₀ = 1.0000 n ₆ = 1.56732 ν ₆ = 42.83
r ₁₁ = 12.3125 d ₁₁ = D ₃ (variable)
r ₁₂ = 7.6136 (aspherical surface) d ₁₂ = 3.2850 n ₇ = 1.71300 ν ₇ = 53.84
r ₁₃ = -113.6101 d ₁₃ = 0.1500
r ₁₄ = 22.5870 d ₁₄ = 0.9866 n ₈ = 1.84666 ν ₈ = 23.78
r ₁₅ = 7.0202 d ₁₅ = 0.8546
r ₁₆ = 23.7991 d ₁₆ = 2.2000 n ₉ = 1.77250 ν ₉ = 49.60
r ₁₇ = -19.5845 d ₁₇ = D ₄ (variable)
r ₁₈ = ∞ d ₁₈ = 4.0000 n ₁₀ = 1.51633 ν ₁₀ = 64.15
r ₁₉ = ∞ d ₁₉ = 1.000
r ₂₀ = ∞ d ₂₀ = 2.1000 n ₁₁ = 1.51633 ν ₁₁ = 64.15
r ₂₁ = ∞ d ₂₁ = 4.2200 n ₁₂ = 1.61700 ν ₁₂ = 62.80
r ₂₂ = ∞ d ₂₂ = 1.000
r ₂₃ = ∞ d ₂₃ = 0.8000 n ₁₃ = 1.51633 ν ₁₃ = 64.15
r ₂₄ = ∞ d ₂₄ = 1.1997
r ₂₅ = ∞ (image plane)
Aspheric coefficient (7th surface) P = 1, A ₄ = -1.2573 × 10 ^-4 , A ₆ = -4.6430 × 10 ^-6
A ₈ = 7.2449 × 10 ^-8
(Twelfth surface) P = 1, A ₄ = -3.0005 × 10 ⁻⁴ , A ₆ = −3.9441 × 10 ⁻⁷
A ₈ = -6.4617 × 10 ^-8
Wide Standard Tele-object distance ∞ ∞ ∞
D ₁ 1.53999 8.31778 11.20353
D ₂ 11.66566 4.88786 2.00212
D ₃ 8.25015 5.81382 1.50000
D ₄ 1.00000 3.43633 7.75015
Wide Standard Tele-object distance 200 10 10
D ₁ 0.99984 3.97914 6.95990
D ₂ 12.20580 9.22650 6.24575
D ₃ 8.25015 5.81382 1.50000
D ₄ 1.00000 3.43633 7.75015
Imaging magnification -0.02197 -0.24014 -0.34722
NA −0.00392 -0.03838 -0.03984
f ₄ / f ₁ = 0.20, β _4T = -0.96, β _2T = -0.24
β _4T / β _4W = 2.04 (β _2T / β _2W ), f _W / f ₁ = 0.08, f _W / f ₄ = 0.42
f ₄ / f ₃ = 0.10, (r _F + r _R ) / (r _F −r _R ) = 1.90

Example 2
f = 4.80 to 9.60 to 19.20, F / 2.80 to F / 3.08 to F / 4.52
2ω = 71.6 ° -35.4 ° -18.2 °
r ₁ = 20.6636 d ₁ = 4.8000 n ₁ = 1.48749 ν ₁ = 70.21
r ₂ = -533.1705 d ₂ = D ₁ (variable)
r ₃ = 31.7012 d ₃ = 1.0000 n ₂ = 1.77250 ν ₂ = 49.60
r ₄ = 4.7345 d ₄ = 4.2362
r ₅ = 23.3134 d ₅ = 1.0000 n ₃ = 1.48749 ν ₃ = 70.21
r ₆ = 18.337 d ₆ = 2.8000 n ₄ = 1.72825 ν ₄ = 28.46
r ₇ = 22.8073 (aspherical surface) d ₇ = D ₂ (variable)
r ₈ = ∞ (aperture) d ₈ = 1.000
r ₉ = 8.6138 d ₉ = 1.0000 n ₅ = 1.69680 ν ₅ = 55.53
r ₁₀ = 4.4182 d ₁₀ = 2.5000 n ₆ = 1.56138 ν ₆ = 45.19
r ₁₁ = 12.2819 d ₁₁ = D ₃ (variable)
r ₁₂ = 7.5867 (aspherical surface) d ₁₂ = 2.9721 n ₇ = 1.71300 ν ₇ = 53.84
r ₁₃ = -232.4255 d ₁₃ = 0.1500
r ₁₄ = 27.2266 d ₁₄ = 0.9866 n ₈ = 1.84666 ν ₈ = 23.78
r ₁₅ = 7.0388 d ₁₅ = 1.6607
r ₁₆ = 20.3880 d ₁₆ = 2.2000 n ₉ = 1.77250 ν ₉ = 49.60
r ₁₇ = -20.2739 d ₁₇ = D ₄ (variable)
r ₁₈ = ∞ d ₁₈ = 4.0000 n ₁₀ = 1.51633 ν ₁₀ = 64.15
r ₁₉ = ∞ d ₁₉ = 1.000
r ₂₀ = ∞ d ₂₀ = 2.1000 n ₁₁ = 1.51633 ν ₁₁ = 64.15
r ₂₁ = ∞ d ₂₁ = 4.2200 n ₁₂ = 1.61700 ν ₁₂ = 62.80
r ₂₂ = ∞ d ₂₂ = 1.000
r ₂₃ = ∞ d ₂₃ = 0.8000 n ₁₃ = 1.51633 ν ₁₃ = 64.15
r ₂₄ = ∞ d ₂₄ = 1.9798
r ₂₅ = ∞ (image plane)
Aspheric coefficient (seventh surface) P = 1, A ₄ = -3.3980 × 10 ^-4 , A ₆ = -1.8520 × 10 ^-5
A ₈ = -1.7438 × 10 ^-8
(Twelfth surface) P = 1, A ₄ = −2.4947 × 10 ⁻⁴ , A ₆ = 3.4277 × 10 ⁻⁸
A ₈ = -7.8226 × 10 ^-8
Wide Standard Tele-object distance ∞ ∞ ∞
D ₁ 1.21911 8.77823 12.00073
D ₂ 12.78374 5.22462 2.00212
D ₃ 9.63508 6.89535 1.50000
D ₄ 1.00000 3.73973 9.13508
Wide Standard Tele-object distance 500 500 500
D ₁ 0.99998 8.37224 11.43087
D ₂ 13.00287 5.63060 2.57198
D ₃ 9.63508 6.89535 1.50000
D ₄ 1.00000 3.73973 9.13508
f ₄ / f ₁ = 0.30, β _4T = -1.03, β _2T = -0.41
β _4T / β _4W = 1.77 (β _2T / β _2W ), f _W / f ₁ = 0.12, f _W / f ₄ = 0.39
_{f 4 / f 3 = 0.15,} (r F + r R) / (r F -r R) = 1.70

Example 3
f = 4.80 to 8.98 to 16.80, F / 2.80 to F / 3.17 to F / 4.88
2ω = 69.4 ° -36.6 ° -20.8 °
r ₁ = 24.6646 d ₁ = 1.0000 n ₁ = 1.80518 ν ₁ = 25.43
r ₂ = 21.7287 d ₂ = 1.0000
r ₃ = 35.2428 d ₃ = 4.0000 n ₂ = 1.51633 ν ₂ = 64.15
r ₄ = -57.7414 d ₄ = D ₁ (variable)
_{r 5 = -127.5440 d 5 = 1.0000} n 3 = 1.77250 ν 3 = 49.60
r ₆ = 4.9939 d ₆ = 2.5618
r ₇ = 22.8410 d ₇ = 2.3000 n ₄ = 1.84666 ν ₄ = 23.78
r ₈ = 266.9477 (aspherical surface) d ₈ = D ₂ (variable)
r ₉ = ∞ (aperture) d ₉ = 1.000
r ₁₀ = 8.9364 d ₁₀ = 1.3000 n ₅ = 1.51633 ν ₅ = 64.15
r ₁₁ = 8.7258 d ₁₁ = D ₃ (variable)
r ₁₂ = 7.4998 (aspherical surface) d ₁₂ = 3.8883 n ₆ = 1.67790 ν ₆ = 55.33
r ₁₃ = -72.9268 d ₁₃ = 0.2756
r ₁₄ = 22.2557 d ₁₄ = 1.0000 n ₇ = 1.84666 ν ₇ = 23.78
r ₁₅ = 6.7138 d ₁₅ = 0.8471
r ₁₆ = 20.1290 d ₁₆ = 2.2000 n ₈ = 1.77250 ν ₈ = 49.60
r ₁₇ = -19.1260 d ₁₇ = D ₄ (variable)
r ₁₈ = ∞ d ₁₈ = 4.0000 n ₉ = 1.51633 ν ₉ = 64.15
r ₁₉ = ∞ d ₁₉ = 1.000
r ₂₀ = ∞ d ₂₀ = 2.1000 n ₁₀ = 1.51633 ν ₁₀ = 64.15
r ₂₁ = ∞ d ₂₁ = 4.2200 n ₁₁ = 1.61700 ν ₁₁ = 62.80
r ₂₂ = ∞ d ₂₂ = 1.000
r ₂₃ = ∞ d ₂₃ = 0.8000 n ₁₂ = 1.51633 ν ₁₂ = 64.15
r ₂₄ = ∞ d ₂₄ = 1.1996
r ₂₅ = ∞ (image plane)
Aspheric coefficient (8th surface) P = 1, A ₄ = -3.2539 × 10 ^-4 , A ₆ = -1.2741 × 10 ^-5
A ₈ = -1.7372 × 10 ^-7
(Twelfth surface) P = 1, A ₄ = −3.0986 × 10 ⁻⁴ , A ₆ = −4.4168 × 10 ⁻⁷
A ₈ = -7.4818 × 10 ^-8
Wide Standard Tele-object distance ∞ ∞ ∞
D ₁ 1.56985 9.09074 11.53549
D ₂ 11.96776 4.44687 2.00212
D ₃ 9.36708 6.84144 1.50000
D ₄ 1.00000 3.52565 8.86708
Wide Standard Tele-object distance 400 400 400
D ₁ 1.23960 8.59854 10.96380
D ₂ 12.29802 4.93907 2.57381
D ₃ 9.36708 6.84144 1.50000
D ₄ 1.00000 3.52565 8.86708
f ₄ / f ₁ = 0.22, β _4T = -1.11, β _2T = -0.30
β _4T / β _4W = 1.99 (β _2T / β _2W ), f _W / f ₁ = 0.09, f _W / f ₄ = 0.42
f ₄ / f ₃ = 0.01, (r _F + r _R ) / (r _F −r _R ) = 1.86

Example 4
f = 4.80-8.31-14.40, F / 2.80-F / 3.15-F / 4.32
2ω = 70.2 ° -41.6 ° -24.6 °
r ₁ = 32.2822 d ₁ = 3.0000 n ₁ = 1.51633 ν ₁ = 64.15
r ₂ = 1315.9478 d ₂ = D ₁ (variable)
r ₃ = 31.8864 d ₃ = 1.0000 n ₂ = 1.77250 ν ₂ = 49.60
r ₄ = 5.6430 d ₄ = 3.7918
r ₅ = -28.1638 d ₅ = 1.0000 n ₃ = 1.48749 ν ₃ = 70.21
r ₆ = 21.7561 d ₆ = 2.4000 n ₄ = 1.80518 ν ₄ = 25.43
r ₇ = −200.0000 (aspherical surface) d ₇ = D ₂ (variable)
r ₈ = ∞ (aperture) d ₈ = 1.000
r ₉ = 17.1706 d ₉ = 1.3000 n ₅ = 1.51633 ν ₅ = 64.15
r ₁₀ = 17.8470 d ₁₀ = D ₃ (variable)
r ₁₁ = 7.2818 (aspherical surface) d ₁₁ = 3.7104 n ₆ = 1.67790 ν ₆ = 55.33
r ₁₂ = -56.4418 d ₁₂ = 0.1319
r ₁₃ = 23.3804 d ₁₃ = 1.0000 n ₇ = 1.84666 ν ₇ = 23.78
r ₁₄ = 6.5725 d ₁₄ = 0.8668
r ₁₅ = 21.4669 d ₁₅ = 2.2000 n ₈ = 1.77250 ν ₈ = 49.60
r ₁₆ = -20.1029 d ₁₆ = D ₄ (variable)
r ₁₇ = ∞ d ₁₇ = 4.0000 n ₉ = 1.51633 ν ₉ = 64.15
r ₁₈ = ∞ d ₁₈ = 1.000
r ₁₉ = ∞ d ₁₉ = 2.1000 n ₁₀ = 1.51633 ν ₁₀ = 64.15
r ₂₀ = ∞ d ₂₀ = 4.2200 n ₁₁ = 1.61700 ν ₁₁ = 62.80
r ₂₁ = ∞ d ₂₁ = 1.000
r ₂₂ = ∞ d ₂₂ = 0.8000 n ₁₂ = 1.51633 ν ₁₂ = 64.15
r ₂₃ = ∞ d ₂₃ = 1.1993
r ₂₄ = ∞ (image plane)
Aspheric coefficient (seventh surface) P = 1, A ₄ = -1.7097 × 10 ^-4 , A ₆ = -2.4272 × 10 ^-6
A ₈ = -4.2782 × 10 ^-8
(Eleventh surface) P = 1, A ₄ = −3.3609 × 10 ⁻⁴ , A ₆ = −9.5814 × 10 ⁻⁷
A ₈ = -7.9857 × 10 ^-8
Wide Standard Tele-object distance ∞ ∞ ∞
D ₁ 1.66003 9.12960 12.57108
D ₂ 12.91317 5.44359 2.00212
D ₃ 7.79779 5.56715 1.50000
D ₄ 1.01693 3.24758 7.31473
Wide Standard Tele-object distance 200 10 10
D ₁ 0.99993 3.89538 7.53118
D ₂ 13.57327 10.67782 7.04201
D ₃ 7.79779 5.56715 1.50000
D ₄ 1.01693 3.24758 7.31473
f ₄ / f ₁ = 0.18, β _4T = -0.94, β _2T = -0.24
β _4T / β _4W = 1.88 (β _2T / β _2W ), f _W / f ₁ = 0.07, f _W / f ₄ = 0.42
f ₄ / f ₃ = 0.02, (r _F + r _R ) / (r _F −r _R ) = 1.78

Example 5
f = 4.80-8.31-14.40, F / 2.80-F / 3.13-F / 4.29
2ω = 70.0 ° -41.6 ° -24.6 °
r ₁ = 73.7040 d ₁ = 2.2000 n ₁ = 1.60311 ν ₁ = 60.70
r ₂ = -251.3948 d ₂ = D ₁ (variable)
r ₃ = 31.4537 d ₃ = 1.0000 n ₂ = 1.77250 ν ₂ = 49.60
r ₄ = 5.9703 d ₄ = 2.5649
r ₅ = 14.8321 d ₅ = 1.0000 n ₃ = 1.48749 ν ₃ = 70.21
r ₆ = 8.1922 d ₆ = 2.8000 n ₄ = 1.80518 ν ₄ = 25.43
r ₇ = 11.8606 (aspherical surface) d ₇ = D ₂ (variable)
r ₈ = ∞ (aperture) d ₈ = 1.000
r ₉ = 11.1830 d ₉ = 1.5000 n ₅ = 1.51633 ν ₅ = 64.15
r ₁₀ = 14.3638 d ₁₀ = D ₃ (variable)
r ₁₁ = 6.6376 (aspherical surface) d ₁₁ = 3.5452 n ₆ = 1.67790 ν ₆ = 55.33
r ₁₂ = -53.0828 d ₁₂ = 0.1065
r ₁₃ = 1.6088 d ₁₃ = 1.0000 n ₇ = 1.84666 ν ₇ = 23.78
r ₁₄ = 5.6915 d ₁₄ = 1.1262
r ₁₅ = 20.2174 d ₁₅ = 2.2000 n ₈ = 1.71999 ν ₈ = 50.25
r ₁₆ = -22.7437 d ₁₆ = D ₄ (variable)
r ₁₇ = ∞ d ₁₇ = 2.1000 n ₉ = 1.51633 ν ₉ = 64.15
r ₁₈ = ∞ d ₁₈ = 4.2200 n ₁₀ = 1.61700 ν ₁₀ = 62.80
r ₁₉ = ∞ d ₁₉ = 1.000
r ₂₀ = ∞ d ₂₀ = 0.8000 n ₁₁ = 1.51633 ν ₁₁ = 64.15
r ₂₁ = ∞ d ₂₁ = 2.4595
r ₂₂ = ∞ (image plane)
Aspheric coefficient (seventh surface) P = 1, A ₄ = −2.5367 × 10 ⁻⁴ , A ₆ = −7.5684 × 10 ⁻⁶
A ₈ = -7.1059 × 10 ^-8
(Eleventh surface) P = 1, A ₄ = −5.0319 × 10 ⁻⁴ , A ₆ = 1.6332 × 10 ⁻⁶
A ₈ = -2.4740 × 10 ^-7
Wide Standard Tele-object distance ∞ ∞ ∞
D ₁ 1.63036 9.60336 13.01556
D ₂ 13.38732 5.41432 2.00212
D ₃ 7.99812 5.58274 1.50000
D ₄ 1.05392 3.46930 7.55204
Wide Standard Tele-object distance 200 10 10
D ₁ 0.99993 4.85754 8.58841
D ₂ 14.01775 10.16013 6.42927
D ₃ 7.99812 5.58274 1.50000
D ₄ 1.05392 3.46930 7.55204
f ₄ / f ₁ = 0.12, β _4T = -0.88, β _2T = -0.14
β _4T / β _4W = 2.63 (β _2T / β _2W ), f _W / f ₁ = 0.05, f _W / f ₄ = 0.44
f ₄ / f ₃ = 0.13, (r _F + r _R ) / (r _F −r _R ) = 2.15

Example 6
f = 4.80-8.31-14.40, F / 2.80-F / 3.18-F / 4.64
2ω = 70.0 ° -41.4 ° -24.6 °
r ₁ = 25.2730 d ₁ = 4.0000 n ₁ = 1.34139 ν ₁ = 93.79
r ₂ = -133.2543 d ₂ = D ₁ (variable)
r ₃ = 47.8800 d ₃ = 1.0000 n ₂ = 1.77250 ν ₂ = 49.60
r ₄ = 5.8314 d ₄ = 3.6769
r ₅ = -39.1283 d ₅ = 1.0000 n ₃ = 1.48749 ν ₃ = 70.21
r ₆ = 16.9614 d ₆ = 2.4000 n ₄ = 1.80518 ν ₄ = 25.43
r ₇ = -396.4755 (aspherical surface) d ₇ = D ₂ (variable)
r ₈ = ∞ (aperture) d ₈ = 1.000
r ₉ = -21.8233 d ₉ = 1.0000 n ₅ = 1.58423 ν ₅ = 30.49
r ₁₀ = -35.4237 d ₁₀ = D ₃ (variable)
r ₁₁ = 7.4903 (aspherical surface) d ₁₁ = 4.1749 n ₆ = 1.67790 ν ₆ = 55.33
r ₁₂ = -37.9091 d ₁₂ = 0.2660
r ₁₃ = 21.8535 d ₁₃ = 1.0000 n ₇ = 1.84666 ν ₇ = 23.78
r ₁₄ = 6.5502 d ₁₄ = 0.8174
r ₁₅ = 18.8072 d ₁₅ = 2.2000 n ₈ = 1.77250 ν ₈ = 49.60
r ₁₆ = -23.5069 d ₁₆ = D ₄ (variable)
r ₁₇ = ∞ d ₁₇ = 4.0000 n ₉ = 1.51633 ν ₉ = 64.15
r ₁₈ = ∞ d ₁₈ = 1.000
r ₁₉ = ∞ d ₁₉ = 2.1000 n ₁₀ = 1.51633 ν ₁₀ = 64.15
r ₂₀ = ∞ d ₂₀ = 4.2200 n ₁₁ = 1.61700 ν ₁₁ = 62.80
r ₂₁ = ∞ d ₂₁ = 1.000
r ₂₂ = ∞ d ₂₂ = 0.8000 n ₁₂ = 1.51633 ν ₁₂ = 64.15
r ₂₃ = ∞ d ₂₃ = 1.2000
r ₂₄ = ∞ (image plane)
Aspherical coefficient (seventh surface) P = 1, A ₄ = -1.7760 × 10 ^-4 , A ₆ = -3.0800 × 10 ^-6
A ₈ = 1.6998 × 10 ^-9
(Eleventh surface) P = 1, A ₄ = -3.5982 × 10 ⁻⁴ , A ₆ = −2.9379 × 10 ⁻⁷
A ₈ = -8.1428 × 10 ^-8
Wide Standard Tele-object distance ∞ ∞ ∞
D ₁ 1.76145 9.00185 11.55882
D ₂ 11.79949 4.55909 2.00212
D ₃ 8.01872 5.89329 1.42966
D ₄ 1.10574 3.23118 7.69480
Wide Standard Tele-object distance 200 10 10
D ₁ 0.99997 3.18551 5.88352
D ₂ 12.56097 10.37543 7.67742
D ₃ 8.01872 5.89329 1.42966
D ₄ 1.10574 3.23118 7.69480
f ₄ / f ₁ = 0.18, β _4T = -1.09, β _2T = -0.26
β _4T / β _4W = 1.77 (β _2T / β _2W ), f _W / f ₁ = 0.08, f _W / f ₄ = 0.43
f ₄ / f ₃ = −0.11, (r _F + r _R ) / (r _F −r _R ) = 1.86

Example 7
f = 4.80-8.31-14.40, F / 2.80-F / 3.14-F / 4.24
2ω = 70.2 ° -41.2 ° -24.4 °
r ₁ = 52.9375 d ₁ = 2.8000 n ₁ = 1.60311 ν ₁ = 60.70
r ₂ = -185.1334 d ₂ = D ₁ (variable)
r ₃ = 30.6812 d ₃ = 1.0000 n ₂ = 1.77250 ν ₂ = 49.60
r ₄ = 6.8533 d ₄ = 4.3009
r ₅ = -16.1611 d ₅ = 1.0000 n ₃ = 1.48749 ν ₃ = 70.21
r ₆ = 13.6857 d ₆ = 2.4000 n ₄ = 1.80518 ν ₄ = 25.43
r ₇ = 57.5052 d ₇ = D ₂ (variable)
r ₈ = ∞ (aperture) d ₈ = 1.000
r ₉ = -51.9348 d ₉ = 1.5000 n ₅ = 1.51633 ν ₅ = 64.15
r ₁₀ = -26.5762 (aspherical surface) d ₁₀ = D ₃ (variable)
r ₁₁ = 6.8710 (aspherical surface) d ₁₁ = 3.7666 n ₆ = 1.67790 ν ₆ = 55.33
r ₁₂ = 452.4983 d ₁₂ = 0.1545
r ₁₃ = 23.8871 d ₁₃ = 1.0000 n ₇ = 1.84666 ν ₇ = 23.78
r ₁₄ = 6.4093 d ₁₄ = 0.9156
r ₁₅ = 24.5394 d ₁₅ = 2.2000 n ₈ = 1.71999 ν ₈ = 50.25
r ₁₆ = -15.2331 d ₁₆ = D ₄ (variable)
r ₁₇ = ∞ d ₁₇ = 4.0000 n ₉ = 1.51633 ν ₉ = 64.15
r ₁₈ = ∞ d ₁₈ = 1.000
r ₁₉ = ∞ d ₁₉ = 2.1000 n ₁₀ = 1.51633 ν ₁₀ = 64.15
r ₂₀ = ∞ d ₂₀ = 4.2200 n ₁₁ = 1.61700 ν ₁₁ = 62.80
r ₂₁ = ∞ d ₂₁ = 1.000
r ₂₂ = ∞ d ₂₂ = 0.8000 n ₁₂ = 1.51633 ν ₁₂ = 64.15
r ₂₃ = ∞ d ₂₃ = 1.1967
r ₂₄ = ∞ (image plane)
Aspheric coefficient (10th surface) P = 1, A ₄ = −1.1669 × 10 ⁻⁴ , A ₆ = 4.3658 × 10 ⁻⁶
A ₈ = -1.5811 × 10 ^-7
(Eleventh surface) P = 1, A ₄ = −3.5478 × 10 ⁻⁴ , A ₆ = −6.4110 × 10 ⁻⁷
A ₈ = -1.2009 × 10 ^-7
Wide Standard Tele-object distance ∞ ∞ ∞
D ₁ 1.53667 8.81405 12.21681
D ₂ 12.68226 5.40488 2.00212
D ₃ 8.40777 5.86593 1.50000
D ₄ 1.00000 3.54184 7.90777
Wide Standard Tele-object distance 200 10 10
D ₁ 0.99994 4.60960 8.18806
D ₂ 13.21899 9.60933 6.03087
D ₃ 8.40777 5.86593 1.50000
D ₄ 1.00000 3.54184 7.90777
f ₄ / f ₁ = 0.18, β _4T = -0.87, β _2T = -0.19
β _4T / β _4W = 2.23 (β _2T / β _2W ), f _W / f ₁ = 0.07, f _W / f ₄ = 0.39
_{f 4 / f 3 = 0.12,} (r F + r R) / (r F -r R) = 1.73

Example 8
f = 4.80-8.31-14.40, F / 2.80-F / 3.23-F / 4.61
2ω = 70.0 ° -41.2 ° -24.4 °
r ₁ = 36.2992 d ₁ = 3.0000 n ₁ = 1.51633 ν ₁ = 64.15
r ₂ = -157.8250 d ₂ = D ₁ (variable)
r ₃ = 41.8214 d ₃ = 1.0000 n ₂ = 1.77250 ν ₂ = 49.60
r ₄ = 6.9783 d ₄ = 4.9592
r ₅ = -19.6840 d ₅ = 1.0000 n ₃ = 1.48749 ν ₃ = 70.21
r ₆ = 11.1778 d ₆ = 1.8000 n ₄ = 1.84666 ν ₄ = 23.78
r ₇ = 24.5817 d ₇ = D ₂ (variable)
r ₈ = 17.7652 d ₈ = 1.3000 n ₅ = 1.51633 ν ₅ = 64.15
r ₉ = 35.2411 d ₉ = 1.0000
r ₁₀ = ∞ (aperture) d ₁₀ = D ₃ (variable)
r ₁₁ = 7.1767 (aspherical surface) d ₁₁ = 3.5312 n ₆ = 1.67790 ν ₆ = 55.33
r ₁₂ = -96.4251 d ₁₂ = 0
_{r 13 = 22.1881 d 13 = 1.0000} n 7 = 1.84666 ν 7 = 23.78
r ₁₄ = 6.6315 d ₁₄ = 0.9544
r ₁₅ = 28.0121 d ₁₅ = 2.2000 n ₈ = 1.69680 ν ₈ = 55.53
r ₁₆ = -14.4998 d ₁₆ = D ₄ (variable)
r ₁₇ = ∞ d ₁₇ = 4.0000 n ₉ = 1.51633 ν ₉ = 64.15
r ₁₈ = ∞ d ₁₈ = 1.000
r ₁₉ = ∞ d ₁₉ = 2.1000 n ₁₀ = 1.51633 ν ₁₀ = 64.15
r ₂₀ = ∞ d ₂₀ = 4.2200 n ₁₁ = 1.61700 ν ₁₁ = 62.80
r ₂₁ = ∞ d ₂₁ = 1.000
r ₂₂ = ∞ d ₂₂ = 0.8000 n ₁₂ = 1.51633 ν ₁₂ = 64.15
r ₂₃ = ∞ d ₂₃ = 1.1982
r ₂₄ = ∞ (image plane)
Aspherical coefficient (11th surface) P = 1, A ₄ = −3.66075 × 10 ⁻⁴ , A ₆ = −1.0505 × 10 ⁻⁶
A ₈ = -6.7194 × 10 ^-8
Wide Standard Tele-object distance ∞ ∞ ∞
D ₁ 1.43242 7.53979 10.04047
D ₂ 10.61016 4.50280 2.00212
D ₃ 8.71208 6.01416 1.41509
D ₄ 0.90211 3.60003 8.19910
Wide Standard Tele-object distance 200 10 10
D ₁ 0.99979 4.04363 6.61705
D ₂ 11.04279 7.99896 5.42554
D ₃ 8.71208 6.01416 1.41509
D ₄ 0.90211 3.60003 8.19910
f ₄ / f ₁ = 0.21, β _4T = -0.95, β _2T = -0.21
β _4T / β _4W = 2.33 (β _2T / β _2W ), f _W / f ₁ = 0.08, f _W / f ₄ = 0.41
_{f 4 / f 3 = 0.17,} (r F + r R) / (r F -r R) = 1.85

Example 9
f = 4.80-8.31-14.40, F / 2.80-F / 3.16-F / 4.27
2ω = 69.8 ° ～ 41.2 ° ～ 24.4 °
r ₁ = 30.9414 d ₁ = 3.0000 n ₁ = 1.51633 ν ₁ = 64.15
r ₂ = -405.6934 d ₂ = D ₁ (variable)
r ₃ = 15.1541 d ₃ = 1.0000 n ₂ = 1.77250 ν ₂ = 49.60
r ₄ = 4.9491 d ₄ = 5.4245
r ₅ = -27.8407 d ₅ = 1.1026 n ₃ = 1.72916 ν ₃ = 54.68
r ₆ = 15.5236 d ₆ = 0.3119
r ₇ = 9.1363 d ₇ = 1.8000 n ₄ = 1.84666 ν ₄ = 23.78
r ₈ = 14.9186 d ₈ = D ₂ (variable)
r ₉ = ∞ (aperture) d ₉ = 1.000
r ₁₀ = -23.6198 d ₁₀ = 1.3000 n ₅ = 1.60311 ν ₅ = 60.68
r ₁₁ = -11.1802 d ₁₁ = D ₃ (variable)
r ₁₂ = 6.9398 (aspherical surface) d ₁₂ = 3.4600 n ₆ = 1.67790 ν ₆ = 55.33
r ₁₃ = 60.1072 d ₁₃ = 0.1285
r ₁₄ = 19.8796 d ₁₄ = 1.0000 n ₇ = 1.84666 ν ₇ = 23.78
r ₁₅ = 6.3091 d ₁₅ = 0.8753
r ₁₆ = 22.7725 d ₁₆ = 2.2000 n ₈ = 1.69680 ν ₈ = 55.53
r ₁₇ = -18.9361 d ₁₇ = D ₄ (variable)
r ₁₈ = ∞ d ₁₈ = 4.0000 n ₉ = 1.51633 ν ₉ = 64.15
r ₁₉ = ∞ d ₁₉ = 1.000
r ₂₀ = ∞ d ₂₀ = 2.1000 n ₁₀ = 1.51633 ν ₁₀ = 64.15
r ₂₁ = ∞ d ₂₁ = 4.2200 n ₁₁ = 1.61700 ν ₁₁ = 62.80
r ₂₂ = ∞ d ₂₂ = 1.000
r ₂₃ = ∞ d ₂₃ = 0.8000 n ₁₂ = 1.51633 ν ₁₂ = 64.15
r ₂₄ = ∞ d ₂₄ = 1.2000
r ₂₅ = ∞ (image plane)
Aspheric coefficient (12th surface) P = 1, A ₄ = -2.2891 × 10 ⁻⁴ , A ₆ = −2.1934 × 10 ⁻⁶
A ₈ = -7.4450 × 10 ^-8
Wide Standard Tele-object distance ∞ ∞ ∞
D ₁ 1.29761 7.10310 9.88411
D ₂ 10.58862 4.78313 2.00212
D ₃ 9.84483 6.54027 1.50000
D ₄ 0.99433 4.29889 9.33916
Wide Standard Tele-object distance 200 10 10
D ₁ 1.00000 4.63093 7.46556
D ₂ 10.88623 7.25530 4.42067
D ₃ 9.84483 6.54027 1.50000
D ₄ 0.99433 4.29889 9.33916
f ₄ / f ₁ = 0.25, β _4T = -0.75, β _2T = -0.18
β _4T / β _4W = 3.75 (β _2T / β _2W ), f _W / f ₁ = 0.09, f _W / f ₄ = 0.34
f ₄ / f ₃ = 0.42, (r _F + r _R ) / (r _F −r _R ) = 1.93

Example 10
f = 4.80 to 8.31 to 14.40, F / 2.80 to F / 3.07 to F / 4.20
2ω = 70.2 ° -41.4 ° -24.6 °
r ₁ = 29.7134 d ₁ = 3.0000 n ₁ = 1.51633 ν ₁ = 64.15
r ₂ = -687.1405 d ₂ = D ₁ (variable)
r ₃ = 20.4521 d ₃ = 1.0000 n ₂ = 1.77250 ν ₂ = 49.60
r ₄ = 6.2487 d ₄ = 4.1029
r ₅ = -12.5841 d ₅ = 1.0000 n ₃ = 1.48749 ν ₃ = 70.21
r ₆ = 11.4821 d ₆ = 1.8000 n ₄ = 1.84666 ν ₄ = 23.78
r ₇ = 24.9471 d ₇ = D ₂ (variable)
r ₈ = ∞ (aperture) d ₈ = 1.000
r ₉ = 21.6120 d ₉ = 1.5000 n ₅ = 1.51633 ν ₅ = 64.15
r ₁₀ = 79.6944 d ₁₀ = D ₃ (variable)
r ₁₁ = 8.9316 d ₁₁ = 2.9722 n ₆ = 1.69680 ν ₆ = 55.53
r ₁₂ = 70.0748 d ₁₂ = 0.7855
r ₁₃ = -30.9127 d ₁₃ = 1.0000 n ₇ = 1.84666 ν ₇ = 23.78
r ₁₄ = 16.6505 d ₁₄ = 0.5284
r ₁₅ = 21.2083 (aspherical surface) d ₁₅ = 3.0000 n ₈ = 1.71300 ν ₈ = 53.84
r ₁₆ = −11.0045 d ₁₆ = D ₄ (variable)
r ₁₇ = ∞ d ₁₇ = 4.0000 n ₉ = 1.51633 ν ₉ = 64.15
r ₁₈ = ∞ d ₁₈ = 1.000
r ₁₉ = ∞ d ₁₉ = 2.1000 n ₁₀ = 1.51633 ν ₁₀ = 64.15
r ₂₀ = ∞ d ₂₀ = 4.2200 n ₁₁ = 1.61700 ν ₁₁ = 62.80
r ₂₁ = ∞ d ₂₁ = 1.000
r ₂₂ = ∞ d ₂₂ = 0.8000 n ₁₂ = 1.51633 ν ₁₂ = 64.15
r ₂₃ = ∞ d ₂₃ = 2.5653
r ₂₄ = ∞ (image plane)
Aspheric coefficient (15th surface) P = 1, A ₄ = −4.5208 × 10 ⁻⁴ , A ₆ = −1.4652 × 10 ⁻⁶
A ₈ = -1.0836 × 10 ^-8
Wide Standard Tele-object distance ∞ ∞ ∞
D ₁ 1.39433 7.48045 10.04622
D ₂ 10.65401 4.56789 2.00212
D ₃ 9.16699 6.29425 1.50000
D ₄ 1.11173 3.98447 8.77872
Wide Standard Tele-object distance 200 10 10
D ₁ 0.99994 4.30192 6.91903
D ₂ 11.04840 7.74642 5.12931
D ₃ 9.16699 6.29425 1.50000
D ₄ 1.11173 3.98447 8.77872
f ₄ / f ₁ = 0.23, β _4T = -0.93, β _2T = -0.21
β _4T / β _4W = 2.38 (β _2T / β _2W ), f _W / f ₁ = 0.09, f _W / f ₄ = 0.39
f ₄ / f ₃ = 0.22, (r _F + r _R ) / (r _F −r _R ) = 0.30
Where r ₁ , r ₂ ,... Are the radii of curvature of the lens surfaces, d ₁ , d ₂ ,... Are the thicknesses and intervals of the lenses, and n ₁ , n ₂ ,. Refractive index, ν ₁ , ν ₂ ,... The unit of length such as focal length is mm.

The first embodiment has a configuration as shown in FIG. 1, and the first group is made up of one positive lens, which is advantageous for cost reduction. The second group is made up of a cemented lens in which a negative lens and a negative and a positive are joined. The group consists of positive and negative cemented lenses, and the fourth group consists of three lenses: a positive lens, a negative meniscus lens, and a positive lens. In this example, as shown in the data, f ₄ / f ₃ > 0, and therefore the third group has a positive refractive power. Actually, f ₃ = 108.93.

    The second group and the fourth group are moved from the wide end to the tele end during zooming as shown in the figure, and the first group and the third group are fixed. The diaphragm is fixed between the second group and the third group.

    Focusing is performed by moving the second group. Changes in the distance between the first group and the second group, and the second group and the third group at that time are as shown in the data.

    In this embodiment, aspherical surfaces are used for the most image side surface of the second group and the most object side surface of the fourth group.

    FIG. 11 to FIG. 13 show the aberration situation for the object at infinity in Example 1, and FIG. 14 to FIG. 16 show the aberration situation when focusing to a short distance.

Example 2 is a negative meniscus lens having a configuration as shown in FIG. 2, in which the second group includes a negative lens and a negative and positive cemented lens, and the negative lens of the cemented lens is convex on the object side. Other configurations are substantially the same as those of the first embodiment. Similarly, the aspherical surface is used for the most image side surface of the second group and the most object side surface of the fourth group. Further, at f ₃ = 83.62, the third group has a positive refractive power.

    The aberration status of Example 2 is as shown in FIGS.

The third embodiment has a configuration as shown in FIG. 3, and the first group includes two lenses, a negative lens and a positive lens, the second group includes two lenses, a negative lens and a positive lens, and the third group includes a positive lens. The number of lenses is one, which is advantageous for cost reduction, and the fourth group consists of three lenses, a positive lens, a negative lens, and a positive lens. In this embodiment, f ₃ = 650.71, and the third group has a positive refractive power.

When zooming, the second group and the fourth group move from the wide end to the tele end as shown in the figure, and the first group and the third group are fixed. Focusing is performed by moving the second group.

    The aberration status of Example 3 is as shown in FIGS.

The fourth embodiment is a lens system having the configuration shown in FIG. 4 and is the same as the first embodiment except that the third group is composed of one positive lens. The aspherical surfaces are used for the most image side surface of the second group and the most object side surface of the fourth group. In this embodiment, f ₃ = 530.38, and the third group has a positive refractive power.

    The aberration status of Example 4 is as shown in FIGS.

Example 5 is a lens system as shown in FIG. This embodiment has the same configuration as the lens system of Embodiment 4. An aspheric surface is also used for the same surface. In this embodiment, f ₃ = 84.27, and the third group has a positive refractive power.

    The aberration status of Example 5 is as shown in FIGS.

Example 6 has the configuration shown in FIG. 6 and is the same as Examples 4 and 5 except that the third group is a negative meniscus lens and has a concave surface facing the object side. The aspheric surfaces are used as the most image side surface of the second group and the most object side surface of the fourth group. In this embodiment, f ₃ = −100.00, and the third group has a negative refractive power.

Aberration of this embodiment is shown in FIGS. 29 to 31.

Example 7 is the same as Example 6 except that the third unit is a positive meniscus lens having a concave surface facing the object side as shown in FIG. The aspherical surface is used for the most image side surface of the third group and the most object side surface of the fourth group. In this embodiment, f ₃ = 103.33, and the third group has a positive refractive power.

Aberration of the seventh embodiment is as shown in FIGS. 32 to 34.

In the eighth embodiment, the third group is configured by one positive meniscus lens having a convex surface facing the object side, and the diaphragm is fixed between the third and fourth groups. However, the configuration is the same as that of the first embodiment and the fifth, sixth, and seventh embodiments. Further, the aspherical surface is only one surface of the fourth group closest to the object side. In this embodiment, f ₃ = 67.67, and the third group has a positive refractive power.

Aberration of the eighth embodiment is shown in FIGS. 35 to 37.

The ninth embodiment has a configuration as shown in FIG. This embodiment is different in that the second group is composed of a negative meniscus lens arranged with an air gap, and three lenses including a negative lens and a positive meniscus lens. The configuration is the same as in Example 7. The aspherical surface is only one surface of the fourth group closest to the object side. In this embodiment, f ₃ = 33.87, and the third group has a positive refractive power.

Aberration of the ninth embodiment are shown in FIG. 38 through FIG. 40.

The tenth embodiment is as shown in FIG. 10, and is different in that the fourth group includes a positive lens, a negative lens (biconcave lens), and a positive lens, and the diaphragm is disposed between the second group and the third group. However, the other configuration is the same as that of the eighth embodiment. The aspherical surface is used for the object side surface of the positive lens on the image side of the fourth group. In this embodiment, f ₃ = 56.93, and the third group has a positive refractive power.

Aberration of this embodiment 10 is shown in FIG. 41 through FIG. 43.

    Each example has been described above. Of these examples, Examples 1, 2, and 4 to 10 have a configuration in which the first group is composed of a single lens and is advantageous in reducing the cost. In Examples 3 to 10, the third lens group is a single lens, which is advantageous in terms of cost reduction. Therefore, in Examples 4 to 10, both the first group and the third group are constituted by one lens. Further, in the sixth embodiment, the first group and the third group are constituted by one plastic lens, and the zoom lens is further reduced in price and weight.

The shape of the aspherical surface used in each of the above embodiments is expressed by the following equation, where x is the optical axis direction and y is the direction perpendicular to the optical axis.

Here, p is a conic constant, and A ₄ , A ₆ ,... Are fourth-order, sixth-order,.

In addition, changes in the distances D ₁ , D ₂ , D ₃ , and D ₄ due to the movement of the lens group during zooming and focusing in each embodiment are shown in the data. The values of the change in the interval are the wide end W at the object at infinity (∞), the standard S (intermediate focal length), the tele end T, and the wide end W when focusing on the object at a finite distance (for example, 500 mm), the standard. The values at S and tele end T are shown in the data.

    The zoom lens according to the present invention can achieve its object in addition to the lens systems described in the claims.

  (1) A zoom lens system that satisfies the following condition (3) in the lens system according to claim 3 of the claims.

(3) −0.6 <β _2T <0
(2) A zoom lens system according to claim 1, 2 or 3, wherein a stop is disposed between the second group and the fourth group and fixed on the optical axis.

  (3) A zoom lens according to claim 1, 2 or 3, wherein the following condition (4) is satisfied.

(4) 1.2 × (β _2T / β _2W ) <β _4T / β _4W <5.6 × (β _2T / β _2W )

(4) A zoom lens system that satisfies the following conditions (5), (6), and (7) in the lens system described in claim 1, 2, or 3 of the claims.
(5) 0 <f _W / f ₁ <0.2
(6) 0.2 <f _W / f ₄ <0.7
(7) -0.2 <f ₄ / f ₃ <0.6

(5) In the lens system described in claim 1, 2 or 3, the fourth group is a positive lens in order from the object side, a negative meniscus lens having a convex surface facing the object side, a positive lens A zoom lens that includes three lenses, and the most object-side positive lens includes an aspherical surface and satisfies the following condition (8).
(8) 1.1 <(r _F + r _R ) / (r _F −r _R ) <4.0

(6) In the lens system described in claim 1, 2 or 3, the fourth group is arranged in order from the object side into three lenses, a positive lens, a biconcave negative lens, and a positive lens. The zoom lens is configured so that the most image side positive lens includes an aspheric surface and satisfies the following condition (9).
(9) −0.9 <(r _F + r _R ) / (r _F −r _R ) <0.9

(7) In the lens system according to claim 3 of the claims, the diaphragm is disposed between the second group and the fourth group and is fixed on the optical axis, and satisfies the following condition (3) Zoom lens to be used.
(3) −0.6 <β _2T <0

(8) A zoom lens that satisfies the following condition (4) in the lens system described in the item (7).
(4) 1.2 × (β _2T / β _2W ) <β _4T / β _4W <5.6 × (β _2T / β _2W )

(9) A zoom lens system that satisfies the following conditions (5), (6), and (7) in the lens system described in the item (8).
(5) 0 <f _W / f ₁ <0.2
(6) 0.2 <f _W / f ₄ <0.7
(7) -0.2 <f ₄ / f ₃ <0.6

(10) In the lens system described in the item (9), three lenses of the fourth group in order from the object side are a positive lens, a negative meniscus lens having a convex surface facing the object side, and a positive lens. And a zoom lens that satisfies the following condition (8), wherein the most object side positive lens includes an aspherical surface.
(8) 1.1 <(r _F + r _R ) / (r _F −r _R ) <4.0

(11) In the lens system described in the item (9), the fourth group includes three lenses, a positive lens, a concave negative lens on the object side, and a positive lens in order from the object side. A zoom lens in which the most object side positive lens includes an aspherical surface and satisfies the following condition (9).
(9) −0.9 <(r _F + r _R ) / (r _F −r _R ) <0.9

Sectional drawing of Example 1 of this invention Sectional drawing of Example 2 of this invention Sectional drawing of Example 3 of this invention Sectional drawing of Example 4 of this invention Sectional drawing of Example 5 of this invention Sectional drawing of Example 6 of this invention Sectional drawing of Example 7 of this invention Sectional drawing of Example 8 of this invention Sectional drawing of Example 9 of this invention Sectional drawing of Example 10 of this invention Aberration curve diagram at wide end for an object at infinity according to Example 1 of the present invention Aberration curve diagram at intermediate focal length for an object at infinity according to Example 1 of the present invention Aberration curve diagram at tele end for object at infinity according to example 1 of the present invention Aberration curve diagram at the wide end for the short-distance object according to the first embodiment of the present invention. Aberration curve diagram at intermediate focal length for short-distance object of Example 1 of the present invention FIG. 6 is an aberration curve diagram at the telephoto end for a short-distance object according to the first embodiment of the present invention. Aberration curve diagram at wide end for an object at infinity according to Example 2 of the present invention Aberration curve diagram at intermediate focal length for an object at infinity according to Embodiment 2 of the present invention Aberration curve diagram at telephoto end for an object at infinity according to Example 2 of the present invention Aberration curve diagram at wide end for an object at infinity according to Example 3 of the present invention Aberration curve diagram at intermediate focal length for an object at infinity according to Example 3 of the present invention Aberration curve diagram at tele end with respect to an object at infinity according to Embodiment 3 of the present invention Aberration curve diagram at wide end for an object at infinity according to Example 4 of the present invention Aberration curve diagram at intermediate focal length for an object at infinity according to Example 4 of the present invention Aberration curve diagram at telephoto end for an object at infinity according to example 4 of the present invention Aberration curve diagram at wide end for an object at infinity according to Example 5 of the present invention Aberration curve diagram at intermediate focal length for an object at infinity according to Example 5 of the present invention Aberration curve diagram at telephoto end for an object at infinity according to Example 5 of the present invention Aberration curve diagram at wide end for an object at infinity according to Example 6 of the present invention Aberration curve diagram at intermediate focal length for an object at infinity according to Example 6 of the present invention Aberration curve diagram at telephoto end for an object at infinity according to example 6 of the present invention Aberration curve diagram at wide end for an object at infinity according to Example 7 of the present invention Aberration curve diagram at intermediate focal length for an object at infinity according to Example 7 of the present invention Aberration curve diagram at telephoto end for an object at infinity according to Example 7 of the present invention Aberration curve diagram at wide end for an object at infinity according to Example 8 of the present invention Aberration curve diagram at intermediate focal length for an object at infinity according to Example 8 of the present invention Aberration curve diagram at telephoto end for an object at infinity according to Example 8 of the present invention Aberration curve diagram at wide end for an object at infinity according to Example 9 of the present invention Aberration curve diagram at intermediate focal length for an object at infinity according to Example 9 of the present invention Aberration curve diagram at telephoto end for an object at infinity according to Example 9 of the present invention Aberration curve diagram at wide end for an object at infinity according to Example 10 of the present invention Aberration curve diagram at intermediate focal length for an object at infinity according to Example 10 of the present invention Aberration curve diagram at telephoto end for an object at infinity according to Example 10 of the present invention

Claims (18)

From the object side, in order from the first group having positive refractive power, the second group having negative refractive power, the third group having positive or negative refractive power, and the fourth group having positive refractive power When zooming, the second group and the fourth group are moved. The fourth group moves monotonically from the wide-angle end to the telephoto end, and satisfies the following conditions (1) and ( 2 ' ). Zoom lens characterized by that.
(1) 0 <f ₄ / f ₁ <0.45
( 2 ′ ) −1.6 <β _4T ≦ −0.75
Here, f ₁ is the focal length of the first group, f ₄ is the focal length of the fourth group, and β _4T is the magnification at the telephoto end of the fourth group. The zoom lens according to claim 1, wherein the first group and the third group are fixed during zooming. The zoom lens according to claim 1, wherein focusing is performed by moving the second group. From the object side, in order from the first group having positive refractive power, the second group having negative refractive power, the third group having positive or negative refractive power, and the fourth group having positive refractive power In zooming, the second group and the fourth group are moved, the fourth group moves monotonically from the wide-angle end to the telephoto end, moves toward the object side, and moves the second group to perform focusing. A zoom lens satisfying the conditions (1), (2), and (3).
(1) 0 <f _Four  / F ₁  <0.45
(2) -1.6 <β _4T <-0.5
(3) -0.6 <β _2T <0
Where f ₁  Is the focal length of the first group, f _Four  Is the focal length of the fourth group, β _4T Is the magnification at the telephoto end of the fourth group, β _2T Is the magnification at the telephoto end of the second lens group. 4. The zoom lens according to claim 1, wherein a diaphragm is disposed between the second group and the fourth group and fixed on the optical axis. The zoom lens according to claim 1, 2 or 3, wherein the following condition (4) is satisfied.
(4) 1.2 × (β _2T / β _2W ) <β _4T / β _4W <5.6 × (β _2T / β _2W )
Where β _2W is the magnification at the wide-angle end of the second group, β _2T is the magnification at the telephoto end of the second group, β _4W is the magnification at the wide-angle end of the fourth group, and β _4T is the telephoto end of the fourth group It is the magnification at. The zoom lens according to claim 1, 2 or 3, wherein the following conditions (5), (6) and (7) are satisfied.
(5) 0 <f _W / f ₁ <0.2
(6) 0.2 <f _W / f ₄ <0.7
(7) -0.2 <f ₄ / f ₃ <0.6
However, f _W is the focal length of the entire system at the wide angle end, f ₄ is the focal length of the fourth group, and f ₃ is the focal length of the third group. The fourth group is composed of three lenses in order from the object side: a positive lens, a negative meniscus lens having a convex surface facing the object side, and a positive lens, and the most positive lens on the object side includes an aspheric surface. 4. The zoom lens according to claim 1, wherein the zoom lens satisfies the following condition (8).
(8) 1.1 <(r _F + r _R ) / (r _F −r _R ) <4.0
Where r _F is the radius of curvature of the object side surface of the negative meniscus lens of the fourth group, and r _R is the radius of curvature of the image side surface of the negative meniscus lens of the fourth group. The fourth group is composed of three lenses in order from the object side: a positive lens, a biconcave negative lens, and a positive lens. The most positive lens on the image side includes an aspheric surface, and satisfies the following condition (9): The zoom lens according to claim 1, 2, or 3.
(9) −0.9 <(r _F + r _R ) / (r _F −r _R ) <0.9
Where r _F is the radius of curvature of the object-side surface of the negative lens in the fourth group, and r _R is the radius of curvature of the image-side surface of the negative lens in the fourth group. 4. The zoom lens according to claim 3, wherein the stop is disposed between the second group and the fourth group and is fixed on the optical axis, and satisfies the following condition (3).
(3) −0.6 <β _2T <0
Where β _2T is the magnification at the telephoto end of the second lens group. The zoom lens according to claim 10, wherein the following condition (4) is satisfied.
(4) 1.2 × (β _2T / β _2W ) <β _4T / β _4W <5.6 × (β _2T / β _2W )
Where β _2W is the magnification at the wide-angle end of the second group, β _2T is the magnification at the telephoto end of the second group, β _4W is the magnification at the wide-angle end of the fourth group, and β _4T is the telephoto end of the fourth group It is the magnification at. The zoom lens according to claim 11, wherein the following conditions (5), (6), and (7) are satisfied.
(5) 0 <f _W / f ₁ <0.2
(6) 0.2 <f _W / f ₄ <0.7
(7) -0.2 <f ₄ / f ₃ <0.6
However, f _W is the focal length of the entire system at the wide angle end, f ₄ is the focal length of the fourth group, and f ₃ is the focal length of the third group. The fourth group is composed of three lenses in order from the object side: a positive lens, a negative meniscus lens having a convex surface facing the object side, and a positive lens, and the most positive lens on the object side includes an aspheric surface. The zoom lens according to claim 12, wherein the following condition (8) is satisfied.
(8) 1.1 <(r _F + r _R ) / (r _F −r _R ) <4.0
Where r _F is the radius of curvature of the object side surface of the negative meniscus lens of the fourth group, and r _R is the radius of curvature of the image side surface of the negative meniscus lens of the fourth group. The fourth group is composed of three lenses in order from the object side: a positive lens, a biconcave negative lens, and a positive lens. The most positive lens on the object side includes an aspheric surface, and satisfies the following condition (9): The zoom lens according to claim 12, wherein:
(9) −0.9 <(r _F + r _R ) / (r _F −r _R ) <0.9
Where r _F is the radius of curvature of the object-side surface of the negative lens in the fourth group, and r _R is the radius of curvature of the image-side surface of the negative lens in the fourth group. Other than the fourth group, aspherical surfaces are used for groups having positive refractive power, and the positive refractive power becomes weaker or the negative refractive power becomes stronger as the aspherical surface is moved away from the optical axis. The zoom lens according to claim 1, 2, or 3. An aspherical surface is used for the group having negative refractive power, and the aspherical surface is shaped so that the negative refractive power becomes weaker or the positive refractive power becomes stronger as the distance from the optical axis increases. The zoom lens according to item 1, 2, or 3. 4. The zoom lens according to claim 1, wherein the first group is composed of one positive lens. 4. The zoom lens according to claim 1, wherein the third group is composed of one single lens.

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