JP2015166790A - Zoom lens and optical device having the same - Google Patents

Zoom lens and optical device having the same Download PDF

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JP2015166790A
JP2015166790A JP2014041121A JP2014041121A JP2015166790A JP 2015166790 A JP2015166790 A JP 2015166790A JP 2014041121 A JP2014041121 A JP 2014041121A JP 2014041121 A JP2014041121 A JP 2014041121A JP 2015166790 A JP2015166790 A JP 2015166790A
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lens
lens group
group
zoom
zoom lens
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健志 篠原
Kenji Shinohara
健志 篠原
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Canon Inc
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Abstract

PROBLEM TO BE SOLVED: To provide a zoom lens which offers a high magnification of 25x or higher and a reduced retracted thickness achieved by reducing the total optical length at the telephoto end, and to provide an optical device having the same.SOLUTION: A zoom lens comprises, in order from the object side to the image side, a first lens group having positive refractive power, a second lens group having negative refractive power, a third lens group having negative refractive power, and succeeding groups including a group having positive refractive power, where the second lens group has at least one negative lens and at least one positive lens. Displacement M1, M2 of the first lens group and second lens group, respectively, while zooming, and lateral magnifications β2w, β2t of the second lens group at the wide angle end and telephoto end, respectively, are each appropriately set.

Description

本発明は、ズームレンズ及びそれを有する光学機器に関し、特にデジタルスチルカメラ、フィルム用カメラ、ビデオカメラに用いられるズームレンズ及びそれを有する撮像装置に好適なものである。   The present invention relates to a zoom lens and an optical apparatus having the same, and is particularly suitable for a zoom lens used in a digital still camera, a film camera, and a video camera and an image pickup apparatus having the same.

近年、固体撮像素子を用いたデジタルスチルカメラ、ビデオカメラ等の広角化、高倍率化が進んでいる。特にデジタルスチルカメラは、沈胴時の厚みが薄くなる様、レンズ枚数の削減や望遠時の光学全長短縮が要求されている。   In recent years, digital still cameras, video cameras, and the like using solid-state image sensors have been increasing in angle and magnification. In particular, digital still cameras are required to reduce the number of lenses and shorten the optical total length when telephoto so that the thickness when retracted is reduced.

これらの要求に応えるズームレンズとして物体側より像側へ順に正の屈折力を有する第1レンズ群、負の屈折力を有する第2レンズ群、負の屈折力を有する第3レンズ群、正の屈折力を有する群を含む後続レンズ群を有するズームレンズが知られている。   As a zoom lens that meets these requirements, in order from the object side to the image side, a first lens group having a positive refractive power, a second lens group having a negative refractive power, a third lens group having a negative refractive power, a positive lens A zoom lens having a subsequent lens group including a group having refractive power is known.

正群、負群、負群、正群を含む後続レンズ群を有するズームレンズの例として、特許文献1、特許文献2が提案されている。これらのズームレンズは第1レンズ群のパワーを強める事で光学全長の短縮を図っている。   Patent Documents 1 and 2 are proposed as examples of a zoom lens having a subsequent lens group including a positive group, a negative group, a negative group, and a positive group. These zoom lenses are designed to shorten the total optical length by increasing the power of the first lens group.

特開2011−39260号公報JP 2011-39260 A 特開2013−101238号公報JP 2013-101238 A

しかし、これらのズームレンズは倍率が10から20倍程度であり、広角端の画角も狭いため、近年の高倍率化、広角化に対して必ずしも十分とは言えなかった。   However, these zoom lenses have a magnification of about 10 to 20 times, and the angle of view at the wide-angle end is narrow, so it cannot always be said that the zoom lens is sufficiently sufficient for increasing the magnification and widening in recent years.

本発明は、前述の課題を解決したもので、従来より高倍率であり、望遠端の光学全長を短くして沈胴厚を薄型化したズームレンズ及びそれを用いた光学機器の提供を目的とする。   SUMMARY OF THE INVENTION The present invention solves the above-mentioned problems, and aims to provide a zoom lens that has a higher magnification than before, that has a shorter optical total length at the telephoto end and a thinner collapsible thickness, and an optical device using the same. .

本発明のズームレンズは、
A.物体側より像側へ順に正の屈折力を有する第1レンズ群、負の屈折率を有する第2レンズ群、負の屈折力を有する第3レンズ群、正の屈折力を有する群を含む後続群からなり、
B.第2レンズ群は少なくとも各1枚の負レンズ、正レンズを有し、
C.変倍時の第1レンズ群、第2レンズ群の移動量を各々M1、M2とし、第2レンズ群の広角端、望遠端での横倍率をβ2w、β2tとしたとき、下記条件式を満足することである。ここで、M1、M2は各々物体側への移動量を−、像側への移動量を+としている。
−8.0 < M1/M2 < −2.5
7.0 < β2t/β2w < 16.0
The zoom lens of the present invention is
A. Subsequent including a first lens group having a positive refractive power in order from the object side to the image side, a second lens group having a negative refractive index, a third lens group having a negative refractive power, and a group having a positive refractive power A group of
B. The second lens group has at least one negative lens and one positive lens,
C. The following conditional expressions are satisfied when the moving amounts of the first and second lens units at zooming are M1 and M2, respectively, and the lateral magnification at the wide-angle end and telephoto end of the second lens unit is β2w and β2t. It is to be. Here, in M1 and M2, the amount of movement toward the object side is −, and the amount of movement toward the image side is +.
−8.0 <M1 / M2 <−2.5
7.0 <β2t / β2w <16.0

本発明によれば、25倍以上の高倍率であり、望遠端の光学全長を短くして沈胴厚を薄型化したズームレンズ及びそれを用いた光学機器が得られる。   According to the present invention, a zoom lens having a high magnification of 25 times or more, a shortened optical total length at the telephoto end, and a reduced retractable thickness, and an optical apparatus using the zoom lens can be obtained.

実施例1のズームレンズの広角端のレンズ断面図Cross-sectional view of the zoom lens of Embodiment 1 at the wide-angle end 実施例1のズームレンズの広角端での収差図Aberration diagram at the wide-angle end of the zoom lens of Example 1 実施例1のズームレンズの中間での収差図Aberration diagram in the middle of the zoom lens of Example 1 実施例1のズームレンズの望遠端での収差図Aberration diagram at the telephoto end of the zoom lens of Example 1 実施例2のズームレンズの広角端のレンズ断面図Lens cross-sectional view at the wide-angle end of the zoom lens according to Embodiment 2 実施例2のズームレンズの広角端での収差図Aberration diagram at the wide-angle end of the zoom lens of Example 2 実施例2のズームレンズの中間での収差図Aberration diagram in the middle of the zoom lens of Example 2 実施例2のズームレンズの望遠端での収差図Aberration diagram at the telephoto end of the zoom lens of Example 2 実施例3のズームレンズの広角端のレンズ断面図Lens cross-sectional view at the wide-angle end of the zoom lens according to Embodiment 3 実施例3のズームレンズの広角端での収差図Aberration diagram at the wide-angle end of the zoom lens of Example 3 実施例3のズームレンズの中間での収差図Aberration diagram in the middle of zoom lens of Example 3 実施例3のズームレンズの望遠端での収差図Aberration diagram at the telephoto end of the zoom lens of Example 3 実施例4のズームレンズの広角端のレンズ断面図Lens cross-sectional view at the wide-angle end of the zoom lens according to Embodiment 4 実施例4のズームレンズの広角端での収差図Aberration diagram at the wide-angle end of the zoom lens of Example 4 実施例4のズームレンズの中間での収差図Aberration diagram in the middle of zoom lens of Example 4 実施例4のズームレンズの望遠端での収差図Aberration diagram at the telephoto end of the zoom lens of Example 4 実施例5のズームレンズの広角端のレンズ断面図Cross-sectional view of the zoom lens of Example 5 at the wide-angle end 実施例5のズームレンズの広角端での収差図Aberration diagram at the wide-angle end of the zoom lens in Example 5 実施例5のズームレンズの中間での収差図Aberration diagram in the middle of zoom lens of Example 5 実施例5のズームレンズの望遠端での収差図Aberration diagram at the telephoto end of the zoom lens of Example 5 実施例6のズームレンズの広角端のレンズ断面図Cross-sectional view of the zoom lens of Example 6 at the wide-angle end 実施例6のズームレンズの広角端での収差図Aberration diagram at the wide-angle end of the zoom lens in Example 6 実施例6のズームレンズの中間での収差図Aberration diagram in the middle of zoom lens of Example 6 実施例6のズームレンズの望遠端での収差図Aberration diagram at the telephoto end of the zoom lens of Example 6 実施例7のズームレンズの広角端のレンズ断面図Cross-sectional view of the zoom lens of Example 7 at the wide-angle end 実施例7のズームレンズの広角端での収差図Aberration diagram at the wide-angle end of the zoom lens in Example 7 実施例7のズームレンズの中間での収差図Aberration diagram in the middle of zoom lens of Example 7 実施例7のズームレンズの望遠端での収差図Aberration diagram at the telephoto end of the zoom lens in Example 7 該ズームレンズを搭載する光学機器(デジタルスチルカメラ)の装置図Device diagram of optical equipment (digital still camera) equipped with the zoom lens

本発明のズームレンズは、25倍以上の高倍率であり、望遠端の光学全長を短くして沈胴厚を薄型化している。レンズ構成としては負群を前玉群とするネガティブリードタイプと正群を前玉群とするポジティブリードタイプがあるが、高倍率化に対応するため本構成ではポジティブリードタイプを採用している。   The zoom lens according to the present invention has a high magnification of 25 times or more, shortens the total optical length at the telephoto end, and reduces the thickness of the retractable lens. There are a negative lead type in which the negative group is the front lens group and a positive lead type in which the positive group is the front lens group. The positive lead type is adopted in this configuration in order to cope with higher magnification.

ポジティブリードのズームレンズは主に第1レンズ群の正群と変倍群である第2レンズ群の負群との間隔をとる事で倍率を稼いでいる。高倍率化の際はこの第1レンズ群と第2レンズ群の間隔が広がる為、望遠時に光学全長が大型化し、沈胴厚が厚くなりやすい。そのため、本発明のズームレンズは、望遠時に絞りより前の群をコンパクトにすることで沈胴厚を薄くしていることが特徴である。ここで、本発明のズームレンズは第4レンズ群に絞りを配置している。   A positive lead zoom lens mainly obtains a magnification by keeping a distance between a positive group of the first lens group and a negative group of the second lens group which is a variable power group. When the magnification is increased, the distance between the first lens group and the second lens group is widened, so that the total optical length increases when telephoto and the retractable thickness tends to increase. Therefore, the zoom lens of the present invention is characterized in that the retractable thickness is reduced by making the group in front of the stop compact when telephoto. Here, in the zoom lens of the present invention, a stop is disposed in the fourth lens group.

絞りより前の群をコンパクトにするには各群のパワーを強めれば良いが、高倍率化した際に収差変動が大きくなるため収差補正が困難となる。そこで、前群のレンズ径を小さくするために主変倍群の負群の像側に負群を配置した正、負、負、後続群という構成としている。第3レンズ群を負群とすることで第3レンズ群以降の合成焦点距離が望遠寄りになるため、第3レンズ群より前側の軸外光線の角度が小さくなり第1レンズ群、第2レンズ群の小型化が可能となる。   In order to make the group in front of the aperture compact, it is sufficient to increase the power of each group. However, when the magnification is increased, aberration variation becomes large, and aberration correction becomes difficult. Therefore, in order to reduce the lens diameter of the front group, the negative group of the main zoom group is arranged on the image side of the negative group, which is a positive, negative, negative, and subsequent group. By making the third lens group a negative group, the combined focal length after the third lens group becomes closer to the telephoto, so the angle of the off-axis light beam on the front side from the third lens group becomes smaller, and the first lens group and the second lens The group can be downsized.

また、軸外光線の角度が緩くなることで第1レンズ群、第2レンズ群を通る軸外光線高さが低くなり高次収差の発生を抑えることが出来るため、絞りより前の群のパワーを強めつつ各レンズ群の移動量を抑えた高倍率化が可能となる。   In addition, since the off-axis ray angle is reduced, the off-axis ray height passing through the first lens group and the second lens group can be reduced to prevent the occurrence of higher-order aberrations. It is possible to increase the magnification while suppressing the amount of movement of each lens group while strengthening.

前述の様に第2レンズ群は小型化のためにパワーを強めており、特に倍率色収差の発生が大きくなることから、少なくとも負1枚、正1枚を有する構成とすることで倍率色収差の発生を抑えている。   As described above, the power of the second lens group has been increased for miniaturization, and since the occurrence of chromatic aberration of magnification is particularly large, it is possible to generate chromatic aberration of magnification by having at least one negative lens and one positive lens. Is suppressed.

本発明のズームレンズは、25倍以上の高倍率であり、望遠端の光学全長を短くして沈胴厚を薄型化したズームレンズ及びそれを有する光学機器を提供するために、具体的には
A.物体側より像側へ順に正の屈折力を有する第1レンズ群、負の屈折率を有する第2レンズ群、負の屈折力を有する第3レンズ群、正の屈折力を有する群を含む後続群からなり、
B.第2レンズ群は少なくとも各1枚の負レンズ、正レンズを有し、
C.変倍時の第1レンズ群、第2レンズ群の移動量を各々M1、M2とし、第2レンズ群の広角端、望遠端での横倍率をβ2w、β2tとしたとき、下記条件式を満足することである。ここで、M1、M2は各々物体側への移動量を−、像側への移動量を+としている。
−8.0 < M1/M2 < −2.5 −(1)
7.0 < β2t/β2w < 16.0 −(2)
条件式(1)は、第1レンズ群と第2レンズ群の移動量比に関する条件式で、主に大きさに関する条件式である。条件式の下限値を下回ると、第1レンズ群の移動量が増えてしまい、望遠端の光学全長が伸びることで沈胴時の厚みが増すため好ましくない。一方、上限値を上回ると、第2レンズ群の移動量が増えるため変倍比を稼ぐのに有利だが、変倍時の像面湾曲の変動を押さえる上で困難となる。
The zoom lens of the present invention has a high magnification of 25 times or more, and in order to provide a zoom lens and an optical apparatus having the zoom lens in which the retractable thickness is reduced by shortening the optical total length at the telephoto end. . Subsequent including a first lens group having a positive refractive power in order from the object side to the image side, a second lens group having a negative refractive index, a third lens group having a negative refractive power, and a group having a positive refractive power A group of
B. The second lens group has at least one negative lens and one positive lens,
C. The following conditional expressions are satisfied when the moving amounts of the first and second lens units at zooming are M1 and M2, respectively, and the lateral magnification at the wide-angle end and telephoto end of the second lens unit is β2w and β2t. It is to be. Here, in M1 and M2, the amount of movement toward the object side is −, and the amount of movement toward the image side is +.
−8.0 <M1 / M2 <−2.5− (1)
7.0 <β2t / β2w <16.0-(2)
Conditional expression (1) is a conditional expression related to the movement amount ratio between the first lens group and the second lens group, and is mainly a conditional expression related to size. If the lower limit of the conditional expression is not reached, the amount of movement of the first lens unit increases, and the total optical length at the telephoto end increases. On the other hand, if the upper limit is exceeded, the amount of movement of the second lens group increases, which is advantageous for obtaining a zoom ratio, but it is difficult to suppress fluctuations in the field curvature during zooming.

条件式(2)は、第2レンズ群の変倍分担に関する条件式で、光学全長と変倍時の収差変動に関する条件式である。条件式の下限値を下回ると、第2レンズ群の変倍分担が小さくなり、高倍率化に対して不利となる。また、変倍比を稼ぐために後続群の移動量が増え、光学全長の大型化を招くため好ましくない。一方、条件式の上限値を上回ると、第2レンズ群の変倍分担が増えるため高倍率化に対して有利だが、変倍時の像面湾曲やコマ収差といった諸収差の変動を補正する上で困難となる。   Conditional expression (2) is a conditional expression related to the variable magnification sharing of the second lens group, and is a conditional expression related to the optical total length and the aberration variation during the variable magnification. If the lower limit of the conditional expression is not reached, the variable magnification share of the second lens group becomes small, which is disadvantageous for higher magnification. Further, it is not preferable because the movement amount of the succeeding group is increased in order to obtain a zoom ratio, and the optical total length is increased. On the other hand, exceeding the upper limit of the conditional expression is advantageous for higher magnification because the second lens group's variable magnification increases, but it is useful for correcting variations in various aberrations such as field curvature and coma during zooming. It becomes difficult.

尚、各数値実施例において、収差補正上更に好ましくは、条件式(1)、(2)の数値範囲を次の如く設定するのが良い。   In each numerical example, it is more preferable to set the numerical ranges of the conditional expressions (1) and (2) as follows in terms of aberration correction.

−7.8 < M1/M2 < −2.7 −(1a)
7.2 < β2t/β2w < 15.5 −(2a)
より更に好ましくは、条件式(1)の数値範囲を次の如く設定するのが良い。
−7.8 <M1 / M2 <−2.7− (1a)
7.2 <β2t / β2w <15.5 − (2a)
More preferably, the numerical range of conditional expression (1) is set as follows.

−7.5 < M1/M2 < −3.0 −(1b)
7.5 < β2t/β2w < 15.0 −(2b)
上記条件式で本発明の目的は達成されるが、より好ましくは該構成において、該第1レンズ群の焦点距離をf1、広角端の焦点距離をfwとしたとき、
6.5 < f1/fw < 10.0 −(3)
なる条件式を満足する事である。
−7.5 <M1 / M2 <−3.0− (1b)
7.5 <β2t / β2w <15.0-(2b)
The object of the present invention is achieved by the above conditional expression, but more preferably, in this configuration, when the focal length of the first lens group is f1 and the focal length of the wide angle end is fw,
6.5 <f1 / fw <10.0-(3)
It is to satisfy the following conditional expression.

条件式(3)は、第1レンズ群のパワーに関する条件式で、特に望遠側の軸上収差に関する条件式である。条件式の下限値を下回ると、第1レンズ群の正レンズのパワーが強まるため小型化に対しては有利だが、望遠側の球面収差、軸上色収差を補正する上で困難となる。一方、上限値を上回ると、第1レンズ群の正レンズのパワーが弱まるため第1レンズ群の薄型化、望遠側の軸上収差を補正する上で有利となるが、変倍のための移動量が大きくなり沈胴時の厚みが厚くなるため好ましくない。   Conditional expression (3) is a conditional expression related to the power of the first lens group, and particularly a conditional expression related to the on-axis aberration on the telephoto side. If the lower limit value of the conditional expression is not reached, the power of the positive lens in the first lens group increases, which is advantageous for downsizing, but it is difficult to correct spherical aberration and axial chromatic aberration on the telephoto side. On the other hand, if the value exceeds the upper limit, the power of the positive lens in the first lens group becomes weak, which is advantageous for making the first lens group thinner and correcting on-axis aberrations on the telephoto side. This is not preferable because the amount increases and the thickness at the time of collapse increases.

上記同様に、より好ましくは該構成において、該後続レンズ群に第4レンズ群を有し、変倍時の第4レンズ群の移動量をM4としたとき、
−6.0 < M4/fw < −3.5 −(4)
なる条件式を満足する事である。ここで、M4は物体側への移動量を−、像側への移動量を+としている。
As above, more preferably, in the configuration, the subsequent lens group has a fourth lens group, and when the amount of movement of the fourth lens group at the time of zooming is M4,
-6.0 <M4 / fw <-3.5-(4)
It is to satisfy the following conditional expression. Here, in M4, the amount of movement toward the object side is-, and the amount of movement toward the image side is +.

条件式(4)は、第4レンズ群の移動量に関する条件式で、特に変倍時の収差変動と光学全長に関する条件式である。条件式の下限値を下回ると、第4レンズ群の移動量が増えるため倍率を稼ぐのに有利だが、光学全長の大型化を招くため好ましくない。また、変倍時の像面湾曲やコマ収差の変動を抑えることが困難となる。一方、上限値を上回ると、第4レンズ群の移動量が短くなるため光学全長の小型化に対して有利だが、パワーが強まることによって広角側の軸上色収差、球面収差を抑える上で困難となる。   Conditional expression (4) is a conditional expression related to the amount of movement of the fourth lens unit, and in particular, is a conditional expression related to the aberration variation and the total optical length during zooming. If the lower limit value of the conditional expression is not reached, the amount of movement of the fourth lens group increases, which is advantageous for increasing the magnification. However, it is not preferable because the optical total length increases. In addition, it is difficult to suppress variations in field curvature and coma during zooming. On the other hand, if the value exceeds the upper limit, the amount of movement of the fourth lens group is shortened, which is advantageous for downsizing the total optical length.However, it is difficult to suppress axial chromatic aberration and spherical aberration on the wide angle side by increasing the power. Become.

上記同様に、より好ましくは該構成において、該第4レンズ群は正の屈折力を有し、広角端、望遠端の横倍率をβ4t、β4wとしたとき、
1.0 <β4t/β4w < 5.0 −(5)
なる条件式を満足する事である。
As above, more preferably, in this configuration, the fourth lens group has a positive refractive power, and when the lateral magnification at the wide angle end and the telephoto end is β4t, β4w,
1.0 <β4t / β4w <5.0-(5)
It is to satisfy the following conditional expression.

条件式(5)は、第4レンズ群の変倍分担に関する条件式で、前玉径と変倍時の収差変動に関する条件式である。条件式の下限値を下回ると、第4レンズ群の変倍分担が小さくなり、高倍率化に対して不利となる。また、変倍比を稼ぐために第2レンズ群の移動量が増え、前玉径の大型化を招くため好ましくない。一方、条件式の上限値を上回ると、第4レンズ群の変倍分担が増えるため高倍率化に対して有利だが、変倍時の軸上色収差、コマ収差の変動を補正する上で困難となる。   Conditional expression (5) is a conditional expression related to the variable magnification sharing of the fourth lens group, and is a conditional expression related to the front lens diameter and the aberration variation at the time of variable magnification. If the lower limit value of the conditional expression is not reached, the variable magnification share of the fourth lens group becomes small, which is disadvantageous for higher magnification. In addition, the amount of movement of the second lens group is increased in order to increase the zoom ratio, which increases the front lens diameter, which is not preferable. On the other hand, exceeding the upper limit of the conditional expression is advantageous for higher magnification because of the increased share of magnification of the fourth lens group, but it is difficult to correct axial chromatic aberration and coma variation during zooming. Become.

上記同様に、より好ましくは該構成において、該後続レンズ群の広角端での合成焦点距離をfreとしたとき、
3.1 < fre/fw < 7.0 −(6)
なる条件式を満足する事である。
As above, more preferably, in this configuration, when the combined focal length at the wide angle end of the subsequent lens group is fre,
3.1 <fre / fw <7.0-(6)
It is to satisfy the following conditional expression.

条件式(6)は、後続レンズ群の焦点距離に関する条件式であり、特に大きさに関する条件式である。条件式の下限値を下回ると、後続レンズ群の焦点距離が短くなりパワーが強まるため光学全長の短縮に対して有利だが、広角側の軸上色収差、コマ収差を補正する上で困難となる。一方、上限値を上回ると、後続レンズ群の焦点距離が長くなるために前群のレンズ径の小型化に対して有利だが、広角化のために前群のパワーが強まり、変倍時の像面湾曲変動を抑える上で困難となる。   Conditional expression (6) is a conditional expression related to the focal length of the subsequent lens group, and in particular, is a conditional expression related to the size. If the lower limit value of the conditional expression is not reached, the focal length of the subsequent lens group is shortened and the power is increased, which is advantageous for shortening the total optical length, but it is difficult to correct axial chromatic aberration and coma aberration on the wide angle side. On the other hand, exceeding the upper limit is advantageous for reducing the lens diameter of the front group because the focal length of the subsequent lens group is long, but the power of the front group is strengthened for widening the angle, and the image at the time of zooming is increased. It becomes difficult to suppress fluctuations in surface curvature.

上記同様に、より好ましくは該構成において、該第4レンズ群は複数の正レンズを有し、第4レンズ群中の正レンズの平均アッべ数をν4pとしたとき、
ν4p > 70 −(7)
なる条件式を満足する事である。
As above, more preferably, in the configuration, the fourth lens group has a plurality of positive lenses, and when the average Abbe number of the positive lenses in the fourth lens group is ν4p,
ν4p> 70 − (7)
It is to satisfy the following conditional expression.

条件式(7)は、第4レンズ群の正レンズの硝材に関する条件式であり、特に変倍全域の色収差に関する条件式である。条件式の下限値を下回ると、異常分散特性が小さく、高倍率化した際の望遠側の2次分散を抑える上で困難となる。また、変倍時の軸上色収差変動を抑える上で困難となる。   Conditional expression (7) is a conditional expression regarding the glass material of the positive lens of the fourth lens group, and in particular, is a conditional expression regarding chromatic aberration in the entire zooming range. Below the lower limit of the conditional expression, the anomalous dispersion characteristic is small, and it becomes difficult to suppress the secondary dispersion on the telephoto side when the magnification is increased. Further, it is difficult to suppress the axial chromatic aberration fluctuation at the time of zooming.

上記同様に、より好ましくは該構成において、該第2レンズ群の平均屈折率をN2aveとしたとき、
N2ave > 1.85 −(8)
なる条件式を満足する事である。
As above, more preferably, in this configuration, when the average refractive index of the second lens group is N2ave,
N2ave> 1.85-(8)
It is to satisfy the following conditional expression.

条件式(8)は、第2レンズ群の硝材に関する条件式であり、特に変倍時の像面湾曲変動に関する条件式である。条件式の下限値を下回ると、負群に含まれるレンズの屈折率が小さくなるためにペッツバール和がマイナスに大きくなり、変倍による像面湾曲の変動を抑える上で困難となる。また、第2レンズ群を構成する各レンズの曲率がきつくなり、特にコマ収差を押さえる上で困難となる。   Conditional expression (8) is a conditional expression related to the glass material of the second lens group, and in particular, is a conditional expression related to the field curvature fluctuation at the time of zooming. If the lower limit value of the conditional expression is not reached, the refractive index of the lens included in the negative group becomes small, and the Petzval sum becomes negative, which makes it difficult to suppress fluctuations in field curvature due to zooming. In addition, the curvature of each lens constituting the second lens group becomes tight, and it is particularly difficult to suppress coma.

尚、各数値実施例において、収差補正上更に好ましくは、条件式(3)〜(8)の数値範囲を次の如く設定するのが良い。
7.0 < f1/fw < 9.5 −(3a)
−5.8 < M4/fw < −3.7 −(4a)
1.1 <β4t/β4w < 4.5 −(5a)
3.3 < fre/fw < 6.9 −(6a)
ν4p > 72 −(7a)
N2ave > 1.86 −(8a)

より更に好ましくは、条件式(3)〜(8)の数値範囲を次の如く設定するのが良い。
7.5 < f1/fw < 9.0 −(3b)
−5.5 < M4/fw < −4.0 −(4b)
1.2 <β4t/β4w < 4.0 −(5b)
3.5 < fre/fw < 6.8 −(6b)
74 < ν4p < 96 −(7b)
1.88 < N2ave < 2.2 −(8b)
更に撮影時には、該第4レンズ群L4の全体または一部を光軸に対して垂直方向に移動させる事によって光軸に対して素直方向に像を変移させている。これにより、光学系全体が振動した際の撮影画像のブレを補正している。
In each numerical example, it is more preferable to set the numerical ranges of the conditional expressions (3) to (8) as follows for aberration correction.
7.0 <f1 / fw <9.5-(3a)
−5.8 <M4 / fw <−3.7− (4a)
1.1 <β4t / β4w <4.5-(5a)
3.3 <fre / fw <6.9-(6a)
ν4p> 72 − (7a)
N2ave> 1.86-(8a)

More preferably, the numerical ranges of the conditional expressions (3) to (8) are set as follows.
7.5 <f1 / fw <9.0-(3b)
−5.5 <M4 / fw <−4.0− (4b)
1.2 <β4t / β4w <4.0-(5b)
3.5 <fre / fw <6.8-(6b)
74 <ν4p <96-(7b)
1.88 <N2ave <2.2-(8b)
Further, at the time of shooting, the whole or a part of the fourth lens unit L4 is moved in the direction perpendicular to the optical axis to shift the image in the straight direction with respect to the optical axis. This corrects blurring of the captured image when the entire optical system vibrates.

該第3レンズ群L3は光路を折り曲げるための反射部材を有していても良い。これにより、一部のレンズ群が光軸から退避するため、沈胴時の厚みの薄型化に寄与する。   The third lens group L3 may have a reflecting member for bending the optical path. As a result, some lens groups are retracted from the optical axis, which contributes to a reduction in thickness when retracted.

尚、各数値実施例のズームレンズは、諸収差のうち歪曲収差の補正を電気的な画像処理によって補正しても良い。特に広角側はセンサーの有効撮像範囲に対して小さい撮像範囲とし、上記歪曲収差の補正を行うことによって、前玉径の小型化に寄与する。   In the zoom lens of each numerical example, correction of distortion among various aberrations may be corrected by electrical image processing. In particular, the wide-angle side contributes to the reduction of the front lens diameter by making the imaging range smaller than the effective imaging range of the sensor and correcting the distortion aberration.

各数値実施例では以上のように各レンズ群を構成することによって、25倍以上の高倍率であり、望遠端の光学全長を短くして沈胴厚を薄型化したズームレンズ及びそれを有する光学機器が得られる。   In each numerical example, by configuring each lens group as described above, the zoom lens has a high magnification of 25 times or more, the optical total length at the telephoto end is shortened, and the retractable thickness is reduced, and the optical apparatus having the zoom lens Is obtained.

以下に、本発明のズームレンズの実施形態(数値実施例)について図面を参照して説明する。   Embodiments (numerical examples) of a zoom lens according to the present invention will be described below with reference to the drawings.

以下の説明、図において、riは物体側からi番目の面の曲率半径、diは物体側からi番目の面とi+1番目の面との間の面間隔、niは第i番目のレンズのd線における屈折率、niは第i番目のレンズのd線におけるアッベ数を示すものとする。また、kを円錐定数、A4, A6, A8を4次、6次、8次の非球面係数とし、光軸からの高さhの位置での光軸方向の変位を面頂点を基準にしてXとするとき、非球面形状は、
X=(h2/R)/[1+[1−(1+K)(h/R)2]1/2]+A4h4+A6h6+A8h8
で表示される。但し、Rは曲率半径であり、「e−X」は「×10-X」を意味している。尚、非球面は各表中の面番号の右側に*印を付している。
In the following description and drawings, ri is the radius of curvature of the i-th surface from the object side, di is the surface interval between the i-th surface and the i + 1-th surface from the object side, and ni is the i-th lens. The refractive index at the d-line, ni, indicates the Abbe number at the d-line of the i-th lens. In addition, k is a conic constant, A4, A6, and A8 are fourth-order, sixth-order, and eighth-order aspheric coefficients, and the displacement in the optical axis direction at the height h from the optical axis is based on the vertex of the surface. When X is defined, the aspheric shape is
X = (h 2 / R) / [1+ [1- (1 + K) (h / R) 2 ] 1/2 ] + A4h 4 + A6h 6 + A8h 8
Is displayed. Here, R is a radius of curvature, and “e−X” means “× 10 −X ”. For aspheric surfaces, an asterisk (*) is attached to the right side of the surface number in each table.

次に各レンズ群のレンズ構成について説明する。   Next, the lens configuration of each lens group will be described.

数値実施例1乃至7では物体側から像側へ順に正の屈折力の第1レンズ群、負の屈折力の第2レンズ群、負の屈折力の第3レンズ群、正の屈折力の第4レンズ群、負の屈折力の第5レンズ群、正の屈折力の第6レンズ群より構成されている。   In Numerical Examples 1 to 7, in order from the object side to the image side, the first lens unit having a positive refractive power, the second lens unit having a negative refractive power, the third lens unit having a negative refractive power, and the first lens unit having a positive refractive power It is composed of a four lens group, a fifth lens group having a negative refractive power, and a sixth lens group having a positive refractive power.

第1レンズ群L1は負レンズと正レンズとを接合した接合レンズ、物体側の面が凸でメニスカス形状の1枚の正レンズで構成している。各数値実施例のズームレンズでは小型とするために第1レンズ群L1の屈折力を適切な範囲で強めている。屈折力を強めた際、第1レンズ群L1内で発生する諸収差、特に望遠側において球面収差が多く発生してくる。そこで第1レンズ群L1の正の屈折力を接合レンズと1枚の正レンズで分担しこれらの収差の発生を低減している。   The first lens unit L1 includes a cemented lens obtained by cementing a negative lens and a positive lens, and a single meniscus positive lens having a convex object side surface. In the zoom lens of each numerical example, the refractive power of the first lens unit L1 is increased within an appropriate range in order to reduce the size. When the refracting power is increased, various aberrations that occur in the first lens unit L1, especially spherical aberrations, occur on the telephoto side. Therefore, the positive refractive power of the first lens unit L1 is shared by the cemented lens and one positive lens to reduce the occurrence of these aberrations.

第2レンズ群L2は屈折力の絶対値が物体側に比べて像側に強く、像側のレンズ面が凹形状の負レンズ、両凹形状の負レンズ、両凸形状の正レンズと両凹形状の負レンズとを接合した接合レンズの4枚のレンズで構成している。各数値実施例のズームレンズでは広角端において広い画角を得ながら第1レンズ群L1の有効径を小型にするために第2レンズ群L2の屈折力を適切な範囲で強めている。屈折力を強めた際、第2レンズ群L2で発生する諸収差、特に広角側において像面湾曲、倍率色収差が多く発生してくる。各実施例では第2レンズ群L2の負の屈折力を2枚の負レンズで分担し、像面湾曲の発生を低減している。また、接合レンズにて倍率色収差の発生を低減している。このようなレンズ構成により、広角化を図りながら前玉有効径の小型化と高い光学性能を得ている。   In the second lens unit L2, the absolute value of the refractive power is stronger on the image side than on the object side, and the lens surface on the image side is a concave negative lens, a biconcave negative lens, a biconvex positive lens and a biconcave lens. It consists of four lenses, which are cemented lenses joined with a negative lens. In the zoom lens of each numerical example, the refractive power of the second lens unit L2 is increased within an appropriate range in order to reduce the effective diameter of the first lens unit L1 while obtaining a wide angle of view at the wide angle end. When the refracting power is increased, various aberrations that occur in the second lens unit L2, in particular, curvature of field and lateral chromatic aberration occur frequently on the wide angle side. In each embodiment, the negative refractive power of the second lens unit L2 is shared by two negative lenses to reduce the occurrence of field curvature. In addition, the occurrence of lateral chromatic aberration is reduced in the cemented lens. With such a lens configuration, the effective diameter of the front lens is reduced and high optical performance is obtained while widening the angle.

第3レンズ群L3は物体側のレンズ面が凹形状の負レンズ1枚より構成している。各数値実施例のズームレンズでは前玉径を小型化するために第3レンズ群L3の屈折力を適切な範囲で強めている。屈折力を強めた際、第3レンズ群L3で発生する諸収差、特に望遠側で軸上色収差やコマ収差が多く発生してくる。そこで第3レンズ群L3に低分散材を使用し、物体側凹形状とする事で色消し及びコマ収差の低減を行っている。   The third lens unit L3 includes one negative lens having a concave lens surface on the object side. In the zoom lens of each numerical example, the refractive power of the third lens unit L3 is increased within an appropriate range in order to reduce the front lens diameter. When the refracting power is increased, various aberrations that occur in the third lens unit L3, particularly axial chromatic aberration and coma aberration, occur on the telephoto side. Therefore, a low dispersion material is used for the third lens unit L3, and achromaticity and coma are reduced by forming a concave shape on the object side.

第4レンズ群L4は両凸形状の正レンズ、像側凹面の負レンズ、負レンズと両凸正レンズとを接合した接合レンズの4枚のレンズより構成している。各数値実施例のズームレンズでは広角端においてレンズ全長を短縮するために第4レンズ群L4の屈折力を適切な範囲で強めている。屈折力を強めた際、第4レンズ群L4で発生する諸収差、特に広角側の球面収差、軸上色収差やコマ収差が多く発生してくる。そこで第4レンズ群L4を2枚の正レンズと2枚の負レンズでパワーを分担し、色消し及びコマ収差の低減を行っている。また、最物体側の正レンズに非球面形状を採用する事で、広角側の球面収差を良好に補正している。   The fourth lens unit L4 includes four lenses: a biconvex positive lens, an image-side concave negative lens, and a cemented lens in which a negative lens and a biconvex positive lens are cemented. In the zoom lenses according to the numerical examples, the refractive power of the fourth lens unit L4 is increased within an appropriate range in order to shorten the total lens length at the wide angle end. When the refracting power is increased, various aberrations generated in the fourth lens unit L4, particularly spherical aberration on the wide angle side, axial chromatic aberration, and coma aberration, are often generated. Accordingly, the fourth lens unit L4 shares power with two positive lenses and two negative lenses to reduce achromaticity and coma. Further, by adopting an aspherical shape for the positive lens on the most object side, spherical aberration on the wide-angle side is corrected well.

第5レンズ群L5は像側凹面の負レンズと物体側凸面の正レンズとを接合した接合レンズで構成している。各数値実施例のズームレンズではレンズ全長を短縮するために第5レンズ群L5の屈折力を適切な範囲で強め、像面補正のための移動量を短縮している。屈折力を強めた際、第5レンズ群L5で発生する諸収差、特に変倍およびフォーカスによる色収差とコマ収差が多く発生してくる。そこで第5レンズ群L5を正レンズ1枚、負レンズ1枚で分担し、特に接合とする事で色収差の低減を行っている。   The fifth lens unit L5 includes a cemented lens in which a negative lens having an image-side concave surface and a positive lens having an object-side convex surface are cemented. In the zoom lens of each numerical example, the refractive power of the fifth lens unit L5 is increased within an appropriate range in order to shorten the total lens length, and the amount of movement for image plane correction is shortened. When the refractive power is increased, various aberrations that occur in the fifth lens unit L5, particularly chromatic aberration and coma aberration due to zooming and focusing, are often generated. Therefore, the fifth lens unit L5 is shared by one positive lens and one negative lens, and in particular, the chromatic aberration is reduced by cementing.

第6レンズ群L6は両凸レンズ1枚で構成している。各数値実施例では第6レンズ群L6を簡素な1枚構成とする事で沈胴厚の薄型化を行っている。また、低分散な硝材を使用することで変倍時の色収差変動を抑えている。   The sixth lens unit L6 includes one biconvex lens. In each numerical example, the sixth lens unit L6 has a simple single lens structure, so that the retractable thickness is reduced. In addition, the use of a low-dispersion glass material suppresses chromatic aberration fluctuations during zooming.

各数値実施例のズームレンズは撮像装置に用いられる撮影レンズ系であり、レンズ断面図において、左方が被写体側で、右方が像側である。数値実施例1乃至7のレンズ断面図において、L1は正の屈折力を有する第1レンズ群、L2は負の屈折力を有する第2レンズ群、L3は負の屈折力を有する第3レンズ群、L4は正の屈折力を有する第4レンズ群、L5は負の屈折力を有する第5レンズ群、L6は正の屈折力を有する第6レンズ群である。SPは開口絞りであり、第4レンズ群L4の間に位置している。   The zoom lens of each numerical example is a photographic lens system used in an imaging apparatus, and in the lens cross-sectional view, the left side is the subject side and the right side is the image side. In the lens cross-sectional views of Numerical Examples 1 to 7, L1 is a first lens group having a positive refractive power, L2 is a second lens group having a negative refractive power, and L3 is a third lens group having a negative refractive power. , L4 is a fourth lens group having a positive refractive power, L5 is a fifth lens group having a negative refractive power, and L6 is a sixth lens group having a positive refractive power. SP is an aperture stop, which is located between the fourth lens unit L4.

GBは光学フィルター、フェースプレート等に相当する光学ブロックである。IPは像面であり、デジタルスチルカメラやビデオカメラの撮影光学系として使用する際にはCCDセンサやCMOSセンサ等の固体撮像素子の撮像面が、銀塩フィルム用カメラのときはフィルム面に相当する。   GB is an optical block corresponding to an optical filter, a face plate, or the like. IP is an image plane. When used as a photographing optical system for a digital still camera or a video camera, the imaging plane of a solid-state imaging device such as a CCD sensor or a CMOS sensor corresponds to a film plane when a camera for a silver salt film is used. To do.

収差図において、d,gは各々d線及びg線、ΔM,ΔSはメリジオナル像面、サジタル像面、倍率色収差はg線によって表している。また、fnoはFナンバーである。ωは実トレースにおける半画角である。   In the aberration diagrams, d and g are d-line and g-line, respectively, ΔM and ΔS are meridional image plane, sagittal image plane, and lateral chromatic aberration are represented by g-line. Fno is an F number. ω is a half angle of view in the actual trace.

尚、以下の各数値実施例において広角端と望遠端は変倍レンズ群が機構上光軸上を移動可能な範囲の両端に位置したときのズーム位置をいう。   In the following numerical examples, the wide-angle end and the telephoto end refer to zoom positions when the variable power lens unit is positioned at both ends of a range in which the zoom lens group can move on the optical axis.

数値実施例1乃至7では、広角端から望遠端への変倍に際して矢印のように、第1レンズ群L1を像側凸の軌跡で移動、第2レンズ群L2を広角端からズーム中間までを像側凸の軌跡、ズーム中間から望遠端までを物体側凸の軌跡で移動、第4レンズ群L4を物体側へ移動することによって変倍を行う。また、第5レンズ群L5を像側に凸状の軌跡で移動させることで変倍に伴う像面変動を補正している。   In Numerical Examples 1 to 7, when zooming from the wide-angle end to the telephoto end, as indicated by an arrow, the first lens unit L1 is moved along an image-side convex locus, and the second lens unit L2 is moved from the wide-angle end to the zoom middle. Zooming is performed by moving the image side convex locus, from the middle of the zoom to the telephoto end along the object side convex locus, and moving the fourth lens unit L4 toward the object side. The fifth lens unit L5 is moved along a convex locus toward the image side to correct the image plane variation accompanying the zooming.

また、第5レンズ群L5を光軸上移動させてフォーカシングを行うインナーフォーカス方式を採用している。第5レンズ群L5に関する実線の曲線5aと点線の曲線5bは、各々無限遠物体と近距離物体にフォーカスしているときの変倍に伴う像面変動を補正するための移動軌跡である。このように第5レンズ群L5を像側へ凸状の軌跡とすることで隣接する群との空間の有効利用を図り、レンズ全長の短縮化を効果的に達成している。   Further, an inner focus method is employed in which the fifth lens unit L5 is moved on the optical axis to perform focusing. A solid curve 5a and a dotted curve 5b relating to the fifth lens unit L5 are movement trajectories for correcting image plane fluctuations accompanying zooming when focusing on an object at infinity and an object at close distance, respectively. Thus, by making the fifth lens unit L5 a convex locus toward the image side, the space between adjacent groups can be effectively used, and the overall lens length can be shortened effectively.

又、望遠端において無限遠物体から近距離物体へフォーカスを行う場合には、矢印5cに示すように第5レンズ群L5を後方に繰り込むことで行っている。尚、第1レンズ群L1はフォーカスの為には光軸方向に固定であるが、収差補正上必要に応じて移動させてもよい。   Further, when focusing from an infinitely distant object to a close object at the telephoto end, the fifth lens unit L5 is moved backward as indicated by an arrow 5c. The first lens unit L1 is fixed in the optical axis direction for focusing, but may be moved as necessary for aberration correction.

次に本発明のズームレンズを撮影光学系として用いた光学機器(デジタルスチルカメラ)の実施例を図29を用いて説明する。   Next, an embodiment of an optical apparatus (digital still camera) using the zoom lens of the present invention as a photographing optical system will be described with reference to FIG.

図29において、20はデジタルスチルカメラ本体、21は実施例1〜7で説明したいずれかのズームレンズによって構成された撮影光学系である。   In FIG. 29, reference numeral 20 denotes a digital still camera body, and reference numeral 21 denotes a photographing optical system constituted by any of the zoom lenses described in the first to seventh embodiments.

22はカメラ本体に内蔵され、撮影光学系21によって形成された被写体像を受光するCCDセンサやCMOSセンサ等の固体撮像素子(光電変換素子)である。23は固体撮像素子22によって光電変換された被写体像に対応する情報を記録するメモリである。24は液晶ディスプレイパネル等によって構成され、撮影した22によって光電変換された被写体像を観察するためのファインダーである。   Reference numeral 22 denotes a solid-state imaging device (photoelectric conversion device) such as a CCD sensor or a CMOS sensor that receives a subject image formed by the photographing optical system 21 and is built in the camera body. A memory 23 records information corresponding to a subject image photoelectrically converted by the solid-state imaging device 22. Reference numeral 24 denotes a finder configured by a liquid crystal display panel or the like for observing a subject image photoelectrically converted by the photographed image 22.

以下の表1〜7に数値実施例1〜7のズームレンズの各数値を示す。   Tables 1 to 7 below show the numerical values of the zoom lenses of Numerical Examples 1 to 7, respectively.



表1 数値実施例1
面データ
面番号 r d nd vd
1 53.505 0.90 2.00069 25.5
2 27.001 4.48 1.49700 81.5
3 -160.474 0.05
4 27.335 2.18 1.81638 46.6
5 162.275 (可変)
6 752.606 0.45 1.88280 37.2
7* 8.312 3.28
8 -20.618 0.50 1.97675 29.7
9 30.901 0.35
10 19.704 2.41 1.95906 17.5
11 -18.616 0.40 1.81996 44.5
12 59.777 (可変)
13 ∞ 8.50 1.91082 35.3
14 ∞ 1.00
15 -10.625 0.50 1.49700 81.5
16 -17.568 (可変)
17* 8.947 2.58 1.55332 71.7
18* -35.663 1.00
19(絞り) ∞ 1.32
20 12.416 0.45 1.92321 32.6
21 7.175 1.27
22 9.138 0.45 1.81282 42.3
23 7.207 2.53 1.49700 81.5
24 -78.771 0.38
25 ∞ (可変)
26 37.541 0.50 1.84138 41.9
27 7.073 1.00 1.69895 30.1
28 9.437 (可変)
29* 9.970 3.76 1.58149 60.7
30 -36.544 1.67
31 ∞ 0.30 1.51633 64.1
32 ∞ 1.60
33 ∞ 0.50 1.51633 64.1
34 ∞ (可変)
像面 ∞

非球面データ
第7面
K =-2.27075e-001 A 4= 1.57099e-005 A 6= 2.72224e-007 A 8= 1.92504e-008

第17面
K =-5.60125e-001 A 4=-1.66887e-005 A 6=-3.81731e-007 A 8= 1.02036e-009

第18面
K =-3.44977e+001 A 4= 1.16623e-005

第29面
K =-1.80062e-001 A 4=-7.25660e-006

各種データ
ズーム比 25.19
広角 中間 望遠
焦点距離 4.54 44.09 114.40
Fナンバー 3.54 6.42 7.00
画角 36.91 5.02 1.94
レンズ全長 83.37 95.74 100.58
BF 4.30 4.30 4.30

d 5 0.50 17.41 23.00
d12 6.24 1.69 0.95
d16 19.78 2.77 0.37
d25 4.69 23.43 19.12
d28 7.60 5.87 12.58
d34 0.50 0.50 0.50


ズームレンズ群データ
群 始面 焦点距離 レンズ構成長
1 1 35.59 7.62
2 6 -6.58 7.39
3 13 -55.32 10.00
4 17 13.59 9.60
5 26 -14.02 1.50
6 29 13.85 3.76



表2 数値実施例2
面データ
面番号 r d nd vd
1 44.680 0.95 2.00069 25.5
2 25.477 4.50 1.49700 81.5
3 -298.972 0.05
4 27.384 2.20 1.77250 49.6
5 174.489 (可変)
6 3635.196 0.50 1.88202 37.2
7* 7.612 3.18
8 -25.658 0.45 2.00100 29.1
9 22.302 0.35
10 16.031 2.49 1.95906 17.5
11 -21.879 0.40 1.88300 40.8
12 111.745 (可変)
13 ∞ 8.50 1.91082 35.3
14 ∞ 1.00
15 -10.877 0.50 1.49700 81.5
16 -17.694 (可変)
17* 9.313 2.40 1.55332 71.7
18* -42.646 1.00
19(絞り) ∞ 1.32
20 16.233 0.45 1.91082 35.3
21 8.245 1.10
22 10.588 0.45 1.80610 40.9
23 8.061 2.33 1.49700 81.5
24 -28.755 1.29
25 ∞ (可変)
26 38.406 0.50 1.83400 37.2
27 6.282 1.13 1.69895 30.1
28 11.460 (可変)
29 11.001 3.42 1.51742 52.4
30 -38.068 1.98
31 ∞ 0.30 1.51633 64.1
32 ∞ 1.60
33 ∞ 0.50 1.51633 64.1
34 ∞ (可変)
像面 ∞

非球面データ
第7面
K =-2.07663e-001 A 4= 2.00590e-005 A 6= 3.27005e-007 A 8= 3.56208e-008

第17面
K =-1.53632e-001 A 4=-6.25518e-005 A 6=-1.98450e-006 A 8= 1.72958e-008

第18面
K =-7.83013e+001 A 4=-9.35722e-006

各種データ
ズーム比 27.08
広角 中間 望遠
焦点距離 4.54 47.13 123.00
Fナンバー 3.46 6.39 7.10
画角 36.90 4.70 1.80
レンズ全長 85.23 97.88 102.80
BF 4.61 4.61 4.61

d 5 0.50 17.68 23.00
d12 5.74 1.21 0.81
d16 21.83 3.47 0.37
d25 4.68 23.05 19.82
d28 7.42 7.40 13.74
d34 0.50 0.50 0.50


ズームレンズ群データ
群 始面 焦点距離 レンズ構成長
1 1 35.73 7.70
2 6 -6.63 7.37
3 13 -58.12 10.00
4 17 14.28 9.05
5 26 -16.54 1.63
6 29 16.85 3.42



表3 数値実施例3
面データ
面番号 r d nd vd
1 47.338 0.95 2.00069 25.5
2 26.098 4.46 1.49700 81.5
3 -245.743 0.05
4 27.432 2.19 1.79718 46.6
5 169.629 (可変)
6 1880.191 0.45 1.99935 23.8
7 8.558 2.85
8* -23.993 0.50 1.88167 37.2
9 24.104 0.35
10 16.858 2.72 1.95906 17.5
11 -16.598 0.40 1.85017 47.8
12 70.274 (可変)
13 ∞ 8.50 1.91082 35.3
14 ∞ 1.00
15 -9.731 0.50 1.49711 81.8
16 -17.632 (可変)
17* 8.847 2.48 1.55332 71.7
18* -38.377 1.00
19(絞り) ∞ 1.32
20 14.782 0.45 1.91456 35.0
21 7.560 1.18
22 8.899 0.45 1.87679 41.0
23 6.811 2.68 1.49700 81.5
24 -31.206 0.40
25 ∞ (可変)
26 47.143 0.50 1.84553 42.3
27 5.777 1.40 1.75443 34.2
28 10.162 (可変)
29* 11.440 3.38 1.55332 71.7
30 -30.886 1.60
31 ∞ 0.30 1.51633 64.1
32 ∞ 1.60
33 ∞ 0.50 1.51633 64.1
34 ∞ (可変)
像面 ∞

非球面データ
第8面
K =-3.90009e+000 A 4= 1.35409e-007 A 6=-3.89168e-007 A 8= 4.61453e-009

第17面
K =-4.30988e-001 A 4=-2.46741e-005 A 6=-1.24214e-006 A 8= 1.40098e-008

第18面
K =-5.88052e+001 A 4= 4.29298e-006

第29面
K = 1.37359e-001 A 4=-1.01336e-005

各種データ
ズーム比 28.63
広角 中間 望遠
焦点距離 4.54 50.33 130.00
Fナンバー 3.35 6.53 7.10
画角 36.90 4.40 1.71
レンズ全長 83.55 96.93 101.10
BF 4.23 4.23 4.23

d 5 0.53 17.62 23.00
d12 5.82 2.12 0.91
d16 21.20 2.28 0.37
d25 4.98 24.41 17.97
d28 6.61 6.11 14.45
d34 0.50 0.50 0.50


ズームレンズ群データ
群 始面 焦点距離 レンズ構成長
1 1 35.46 7.66
2 6 -7.03 7.28
3 13 -44.54 10.00
4 17 13.58 9.56
5 26 -13.95 1.90
6 29 15.50 3.38



表4 数値実施例4
面データ
面番号 r d nd vd
1 47.823 0.95 2.00069 25.5
2 26.034 4.52 1.49700 81.5
3 -216.156 0.05
4 27.112 2.18 1.80400 46.6
5 161.803 (可変)
6 762.319 0.45 2.00069 25.5
7 8.224 2.98
8* -24.096 0.50 1.88202 37.2
9 24.471 0.35
10 16.063 2.58 1.95906 17.5
11 -19.793 0.40 1.80400 46.6
12 74.576 (可変)
13 ∞ 8.50 1.91082 35.3
14 ∞ 1.00
15 -9.942 0.50 1.49700 81.5
16 -19.721 (可変)
17* 8.929 2.49 1.55332 71.7
18* -40.241 1.00
19(絞り) ∞ 1.32
20 14.817 0.45 1.91082 35.3
21 7.485 1.19
22 8.890 0.45 1.88300 40.8
23 6.915 3.25 1.49700 81.5
24 -31.795 0.44
25 ∞ (可変)
26 39.261 0.50 1.80400 46.6
27 6.543 1.37 1.70154 41.2
28 11.004 (可変)
29* 12.055 3.41 1.55332 71.7
30 -38.891 1.79
31 ∞ 0.30 1.51633 64.1
32 ∞ 1.60
33 ∞ 0.50 1.51633 64.1
34 ∞ (可変)
像面 ∞

非球面データ
第8面
K =-3.72367e+000 A 4=-1.47286e-006 A 6=-5.42088e-007 A 8= 7.84905e-009

第17面
K =-3.25461e-001 A 4=-2.77147e-005 A 6=-2.11843e-006 A 8= 2.42537e-008

第18面
K =-8.06061e+001 A 4=-1.47480e-005

第29面
K =-7.66354e-003 A 4= 7.85382e-006

各種データ
ズーム比 28.62
広角 中間 望遠
焦点距離 4.54 43.50 130.00
Fナンバー 3.52 6.57 7.10
画角 36.89 5.09 1.71
レンズ全長 82.93 96.82 101.54
BF 4.42 4.42 4.42

d 5 0.50 17.06 23.10
d12 4.88 2.21 0.89
d16 21.05 3.10 0.67
d25 4.65 23.20 14.95
d28 6.60 6.00 16.68
d34 0.50 0.50 0.50


ズームレンズ群データ
群 始面 焦点距離 レンズ構成長
1 1 35.01 7.71
2 6 -7.28 7.26
3 13 -40.96 10.00
4 17 13.94 10.15
5 26 -17.12 1.87
6 29 17.00 3.41



表5 数値実施例5
面データ
面番号 r d nd vd 有効径
1 48.084 0.95 2.00069 25.5
2 26.062 4.47 1.49700 81.5
3 -245.866 0.05
4 27.276 2.20 1.80400 46.6
5 168.039 (可変)
6 615.287 0.45 2.00069 25.5
7 8.446 2.93
8* -24.405 0.50 1.88202 37.2
9 23.091 0.35
10 16.515 2.60 1.95906 17.5
11 -18.838 0.40 1.80400 46.6
12 65.929 (可変)
13 ∞ 8.50 1.91082 35.3
14 ∞ 1.00
15 -9.897 0.50 1.49700 81.5
16 -19.045 (可変)
17* 8.872 2.52 1.55332 71.7
18* -38.369 1.00
19(絞り) ∞ 1.32
20 14.668 0.45 1.91082 35.3
21 7.531 1.18
22 8.916 0.45 1.88300 40.8
23 6.864 2.81 1.49700 81.5
24 -31.913 0.39
25 ∞ (可変)
26 54.661 0.50 1.80400 46.6
27 6.114 1.44 1.70154 41.2
28 10.561 (可変)
29* 11.160 3.47 1.55332 71.7
30 -34.211 1.68
31 ∞ 0.30 1.51633 64.1
32 ∞ 1.60
33 ∞ 0.50 1.51633 64.1
34 ∞ (可変)
像面 ∞

非球面データ
第8面
K =-4.33578e+000 A 4=-2.17077e-006 A 6=-6.19105e-007 A 8= 7.28648e-009

第17面
K =-3.99056e-001 A 4=-3.05044e-005 A 6=-1.48517e-006 A 8= 1.57545e-008

第18面
K =-6.24812e+001 A 4=-5.96760e-006

第29面
K = 1.13820e-001 A 4=-1.21835e-006

各種データ
ズーム比 28.63
広角 中間 望遠
焦点距離 4.54 45.56 130.00
Fナンバー 3.37 6.50 7.10
画角 36.90 4.86 1.71
レンズ全長 83.15 96.99 101.70
BF 4.31 4.31 4.31

d 5 0.50 17.05 23.10
d12 4.96 2.26 0.92
d16 21.44 2.80 0.37
d25 4.78 23.36 17.98
d28 6.73 6.78 14.60
d34 0.50 0.50 0.50


ズームレンズ群データ
群 始面 焦点距離 レンズ構成長
1 1 35.46 7.67
2 6 -7.14 7.23
3 13 -42.15 10.00
4 17 13.63 9.73
5 26 -14.61 1.94
6 29 15.60 3.47



表6 数値実施例6
面データ
面番号 r d nd vd
1 48.152 0.95 2.00069 25.5
2 26.075 4.55 1.49700 81.5
3 -197.087 0.05
4 26.906 2.20 1.80400 46.6
5 155.239 (可変)
6 -436.011 0.45 2.00069 25.5
7 8.233 2.96
8* -22.586 0.50 1.88202 37.2
9 22.395 0.35
10 16.198 2.70 1.95906 17.5
11 -17.467 0.40 1.80400 46.6
12 56.665 (可変)
13 ∞ 8.50 1.91082 35.3
14 ∞ 1.00
15 -8.628 0.50 1.49700 81.5
16 -13.564 (可変)
17* 8.938 2.55 1.55332 71.7
18* -38.133 1.00
19(絞り) ∞ 1.32
20 16.576 0.45 1.91082 35.3
21 7.971 1.11
22 9.647 0.45 1.88300 40.8
23 7.332 2.55 1.49700 81.5
24 -27.514 0.05
25 ∞ (可変)
26 50.171 0.50 1.80400 46.6
27 5.661 1.33 1.70154 41.2
28 11.848 (可変)
29* 12.987 3.18 1.55332 71.7
30 -27.536 1.58
31 ∞ 0.30 1.51633 64.1
32 ∞ 1.60
33 ∞ 0.50 1.51633 64.1
34 ∞ (可変)
像面 ∞

非球面データ
第8面
K =-5.23682e+000 A 4= 1.22621e-005 A 6= 1.16218e-007 A 8= 7.70731e-009

第17面
K =-4.64368e-001 A 4=-3.82286e-005 A 6=-4.14069e-007 A 8= 5.87902e-009

第18面
K =-3.90763e+001 A 4= 2.35620e-005

第29面
K =-1.17246e+000 A 4= 5.43265e-005

各種データ
ズーム比 33.99
広角 中間 望遠
焦点距離 4.40 47.79 149.43
Fナンバー 3.33 6.50 7.10
画角 37.80 4.64 1.49
レンズ全長 85.63 99.47 104.17
BF 4.20 4.20 4.20

d 5 0.50 17.34 23.45
d12 5.37 2.36 0.96
d16 22.31 2.45 0.37
d25 5.14 27.23 17.23
d28 8.50 6.28 18.35
d34 0.49 0.49 0.49


ズームレンズ群データ
群 始面 焦点距離 レンズ構成長
1 1 34.84 7.75
2 6 -6.50 7.37
3 13 -49.27 10.00
4 17 13.99 9.43
5 26 -16.34 1.83
6 29 16.37 3.18



表7 数値実施例7
面データ
面番号 r d nd vd
1 60.764 0.90 2.00069 25.5
2 26.521 4.60 1.49700 81.5
3 -147.452 0.05
4 26.801 2.27 1.83481 42.7
5 193.739 (可変)
6 -1116.202 0.45 1.88202 37.2
7* 8.245 3.40
8 -24.283 0.50 1.88202 37.2
9 30.312 0.35
10 19.677 2.71 1.95906 17.5
11 -16.353 0.40 2.00100 29.1
12 153.414 (可変)
13 -12.375 0.50 1.49700 81.5
14 -22.679 (可変)
15* 9.053 2.43 1.55332 71.7
16* -34.021 1.00
17(絞り) ∞ 1.32
18 14.249 0.45 1.95375 32.3
19 8.148 1.13
20 10.780 0.45 1.83481 42.7
21 7.462 2.16 1.49700 81.5
22 -53.267 1.68
23 ∞ (可変)
24 39.333 0.50 1.88202 37.2
25 5.637 1.56 1.69895 30.1
26 11.935 (可変)
27* 12.984 2.94 1.65844 50.9
28 -52.947 1.60
29 ∞ 0.30 1.51633 64.1
30 ∞ 1.60
31 ∞ 0.50 1.51633 64.1
32 ∞ (可変)
像面 ∞

非球面データ
第7面
K =-9.74253e-001 A 4= 1.63739e-004 A 6= 1.56642e-006 A 8= 2.01012e-008

第15面
K =-5.20508e-001 A 4=-4.15229e-005 A 6=-1.02320e-006 A 8= 5.38370e-009

第16面
K =-3.92119e+001 A 4=-2.96973e-005

第27面
K = 1.17164e+000 A 4=-4.90737e-005

各種データ
ズーム比 25.18

焦点距離 4.54 46.11 114.40
Fナンバー 3.34 6.26 7.00
画角 36.90 4.80 1.94
レンズ全長 83.39 95.05 100.49
BF 4.22 4.22 4.22

d 5 0.50 17.84 23.00
d12 15.17 9.50 9.77
d14 20.77 3.12 0.37
d23 5.22 22.53 18.55
d26 5.76 6.10 12.83
d32 0.50 0.50 0.50


ズームレンズ群データ
群 始面 焦点距離 レンズ構成長
1 1 35.69 7.82
2 6 -7.07 7.81
3 13 -55.60 0.50
4 15 14.35 8.93
5 24 -14.53 2.06
6 27 16.07 2.94




Table 1 Numerical Example 1
Surface data surface number rd nd vd
1 53.505 0.90 2.00069 25.5
2 27.001 4.48 1.49700 81.5
3 -160.474 0.05
4 27.335 2.18 1.81638 46.6
5 162.275 (variable)
6 752.606 0.45 1.88280 37.2
7 * 8.312 3.28
8 -20.618 0.50 1.97675 29.7
9 30.901 0.35
10 19.704 2.41 1.95906 17.5
11 -18.616 0.40 1.81996 44.5
12 59.777 (variable)
13 ∞ 8.50 1.91082 35.3
14 ∞ 1.00
15 -10.625 0.50 1.49700 81.5
16 -17.568 (variable)
17 * 8.947 2.58 1.55332 71.7
18 * -35.663 1.00
19 (Aperture) ∞ 1.32
20 12.416 0.45 1.92321 32.6
21 7.175 1.27
22 9.138 0.45 1.81282 42.3
23 7.207 2.53 1.49700 81.5
24 -78.771 0.38
25 ∞ (variable)
26 37.541 0.50 1.84138 41.9
27 7.073 1.00 1.69895 30.1
28 9.437 (variable)
29 * 9.970 3.76 1.58149 60.7
30 -36.544 1.67
31 ∞ 0.30 1.51633 64.1
32 ∞ 1.60
33 ∞ 0.50 1.51633 64.1
34 ∞ (variable)
Image plane ∞

Aspheric data 7th surface
K = -2.27075e-001 A 4 = 1.57099e-005 A 6 = 2.72224e-007 A 8 = 1.92504e-008

17th page
K = -5.60125e-001 A 4 = -1.66887e-005 A 6 = -3.81731e-007 A 8 = 1.02036e-009

18th page
K = -3.44977e + 001 A 4 = 1.16623e-005

29th page
K = -1.80062e-001 A 4 = -7.25660e-006

Various data Zoom ratio 25.19
Wide angle Medium Telephoto focal length 4.54 44.09 114.40
F number 3.54 6.42 7.00
Angle of view 36.91 5.02 1.94
Total lens length 83.37 95.74 100.58
BF 4.30 4.30 4.30

d 5 0.50 17.41 23.00
d12 6.24 1.69 0.95
d16 19.78 2.77 0.37
d25 4.69 23.43 19.12
d28 7.60 5.87 12.58
d34 0.50 0.50 0.50


Zoom lens group data group Start surface Focal length Lens construction length
1 1 35.59 7.62
2 6 -6.58 7.39
3 13 -55.32 10.00
4 17 13.59 9.60
5 26 -14.02 1.50
6 29 13.85 3.76



Table 2 Numerical example 2
Surface data surface number rd nd vd
1 44.680 0.95 2.00069 25.5
2 25.477 4.50 1.49700 81.5
3 -298.972 0.05
4 27.384 2.20 1.77250 49.6
5 174.489 (variable)
6 3635.196 0.50 1.88202 37.2
7 * 7.612 3.18
8 -25.658 0.45 2.00 100 29.1
9 22.302 0.35
10 16.031 2.49 1.95906 17.5
11 -21.879 0.40 1.88300 40.8
12 111.745 (variable)
13 ∞ 8.50 1.91082 35.3
14 ∞ 1.00
15 -10.877 0.50 1.49700 81.5
16 -17.694 (variable)
17 * 9.313 2.40 1.55332 71.7
18 * -42.646 1.00
19 (Aperture) ∞ 1.32
20 16.233 0.45 1.91082 35.3
21 8.245 1.10
22 10.588 0.45 1.80610 40.9
23 8.061 2.33 1.49700 81.5
24 -28.755 1.29
25 ∞ (variable)
26 38.406 0.50 1.83400 37.2
27 6.282 1.13 1.69895 30.1
28 11.460 (variable)
29 11.001 3.42 1.51742 52.4
30 -38.068 1.98
31 ∞ 0.30 1.51633 64.1
32 ∞ 1.60
33 ∞ 0.50 1.51633 64.1
34 ∞ (variable)
Image plane ∞

Aspheric data 7th surface
K = -2.07663e-001 A 4 = 2.00590e-005 A 6 = 3.27005e-007 A 8 = 3.56208e-008

17th page
K = -1.53632e-001 A 4 = -6.25518e-005 A 6 = -1.98450e-006 A 8 = 1.72958e-008

18th page
K = -7.83013e + 001 A 4 = -9.35722e-006

Various data Zoom ratio 27.08
Wide angle Medium telephoto focal length
F number 3.46 6.39 7.10
Angle of view 36.90 4.70 1.80
Total lens length 85.23 97.88 102.80
BF 4.61 4.61 4.61

d 5 0.50 17.68 23.00
d12 5.74 1.21 0.81
d16 21.83 3.47 0.37
d25 4.68 23.05 19.82
d28 7.42 7.40 13.74
d34 0.50 0.50 0.50


Zoom lens group data group Start surface Focal length Lens construction length
1 1 35.73 7.70
2 6 -6.63 7.37
3 13 -58.12 10.00
4 17 14.28 9.05
5 26 -16.54 1.63
6 29 16.85 3.42



Table 3 Numerical Example 3
Surface data surface number rd nd vd
1 47.338 0.95 2.00069 25.5
2 26.098 4.46 1.49700 81.5
3 -245.743 0.05
4 27.432 2.19 1.79718 46.6
5 169.629 (variable)
6 1880.191 0.45 1.99935 23.8
7 8.558 2.85
8 * -23.993 0.50 1.88167 37.2
9 24.104 0.35
10 16.858 2.72 1.95906 17.5
11 -16.598 0.40 1.85017 47.8
12 70.274 (variable)
13 ∞ 8.50 1.91082 35.3
14 ∞ 1.00
15 -9.731 0.50 1.49711 81.8
16 -17.632 (variable)
17 * 8.847 2.48 1.55332 71.7
18 * -38.377 1.00
19 (Aperture) ∞ 1.32
20 14.782 0.45 1.91456 35.0
21 7.560 1.18
22 8.899 0.45 1.87679 41.0
23 6.811 2.68 1.49700 81.5
24 -31.206 0.40
25 ∞ (variable)
26 47.143 0.50 1.84553 42.3
27 5.777 1.40 1.75443 34.2
28 10.162 (variable)
29 * 11.440 3.38 1.55332 71.7
30 -30.886 1.60
31 ∞ 0.30 1.51633 64.1
32 ∞ 1.60
33 ∞ 0.50 1.51633 64.1
34 ∞ (variable)
Image plane ∞

Aspheric data 8th surface
K = -3.90009e + 000 A 4 = 1.35409e-007 A 6 = -3.89168e-007 A 8 = 4.61453e-009

17th page
K = -4.30988e-001 A 4 = -2.46741e-005 A 6 = -1.24214e-006 A 8 = 1.40098e-008

18th page
K = -5.88052e + 001 A 4 = 4.29298e-006

29th page
K = 1.37359e-001 A 4 = -1.01336e-005

Various data Zoom ratio 28.63
Wide angle Medium Telephoto focal length 4.54 50.33 130.00
F number 3.35 6.53 7.10
Angle of view 36.90 4.40 1.71
Total lens length 83.55 96.93 101.10
BF 4.23 4.23 4.23

d 5 0.53 17.62 23.00
d12 5.82 2.12 0.91
d16 21.20 2.28 0.37
d25 4.98 24.41 17.97
d28 6.61 6.11 14.45
d34 0.50 0.50 0.50


Zoom lens group data group Start surface Focal length Lens construction length
1 1 35.46 7.66
2 6 -7.03 7.28
3 13 -44.54 10.00
4 17 13.58 9.56
5 26 -13.95 1.90
6 29 15.50 3.38



Table 4 Numerical Example 4
Surface data surface number rd nd vd
1 47.823 0.95 2.00069 25.5
2 26.034 4.52 1.49700 81.5
3 -216.156 0.05
4 27.112 2.18 1.80 400 46.6
5 161.803 (variable)
6 762.319 0.45 2.00069 25.5
7 8.224 2.98
8 * -24.096 0.50 1.88202 37.2
9 24.471 0.35
10 16.063 2.58 1.95906 17.5
11 -19.793 0.40 1.80 400 46.6
12 74.576 (variable)
13 ∞ 8.50 1.91082 35.3
14 ∞ 1.00
15 -9.942 0.50 1.49700 81.5
16 -19.721 (variable)
17 * 8.929 2.49 1.55332 71.7
18 * -40.241 1.00
19 (Aperture) ∞ 1.32
20 14.817 0.45 1.91082 35.3
21 7.485 1.19
22 8.890 0.45 1.88 300 40.8
23 6.915 3.25 1.49700 81.5
24 -31.795 0.44
25 ∞ (variable)
26 39.261 0.50 1.80 400 46.6
27 6.543 1.37 1.70154 41.2
28 11.004 (variable)
29 * 12.055 3.41 1.55332 71.7
30 -38.891 1.79
31 ∞ 0.30 1.51633 64.1
32 ∞ 1.60
33 ∞ 0.50 1.51633 64.1
34 ∞ (variable)
Image plane ∞

Aspheric data 8th surface
K = -3.72367e + 000 A 4 = -1.47286e-006 A 6 = -5.42088e-007 A 8 = 7.84905e-009

17th page
K = -3.25461e-001 A 4 = -2.77147e-005 A 6 = -2.11843e-006 A 8 = 2.42537e-008

18th page
K = -8.06061e + 001 A 4 = -1.47480e-005

29th page
K = -7.66354e-003 A 4 = 7.85382e-006

Various data Zoom ratio 28.62
Wide angle Medium Telephoto focal length
F number 3.52 6.57 7.10
Angle of view 36.89 5.09 1.71
Total lens length 82.93 96.82 101.54
BF 4.42 4.42 4.42

d 5 0.50 17.06 23.10
d12 4.88 2.21 0.89
d16 21.05 3.10 0.67
d25 4.65 23.20 14.95
d28 6.60 6.00 16.68
d34 0.50 0.50 0.50


Zoom lens group data group Start surface Focal length Lens construction length
1 1 35.01 7.71
2 6 -7.28 7.26
3 13 -40.96 10.00
4 17 13.94 10.15
5 26 -17.12 1.87
6 29 17.00 3.41



Table 5 Numerical Example 5
Surface data surface number rd nd vd Effective diameter
1 48.084 0.95 2.00069 25.5
2 26.062 4.47 1.49700 81.5
3 -245.866 0.05
4 27.276 2.20 1.80 400 46.6
5 168.039 (variable)
6 615.287 0.45 2.00069 25.5
7 8.446 2.93
8 * -24.405 0.50 1.88202 37.2
9 23.091 0.35
10 16.515 2.60 1.95906 17.5
11 -18.838 0.40 1.80 400 46.6
12 65.929 (variable)
13 ∞ 8.50 1.91082 35.3
14 ∞ 1.00
15 -9.897 0.50 1.49700 81.5
16 -19.045 (variable)
17 * 8.872 2.52 1.55332 71.7
18 * -38.369 1.00
19 (Aperture) ∞ 1.32
20 14.668 0.45 1.91082 35.3
21 7.531 1.18
22 8.916 0.45 1.88 300 40.8
23 6.864 2.81 1.49700 81.5
24 -31.913 0.39
25 ∞ (variable)
26 54.661 0.50 1.80 400 46.6
27 6.114 1.44 1.70154 41.2
28 10.561 (variable)
29 * 11.160 3.47 1.55332 71.7
30 -34.211 1.68
31 ∞ 0.30 1.51633 64.1
32 ∞ 1.60
33 ∞ 0.50 1.51633 64.1
34 ∞ (variable)
Image plane ∞

Aspheric data 8th surface
K = -4.33578e + 000 A 4 = -2.17077e-006 A 6 = -6.19105e-007 A 8 = 7.28648e-009

17th page
K = -3.99056e-001 A 4 = -3.05044e-005 A 6 = -1.48517e-006 A 8 = 1.57545e-008

18th page
K = -6.24812e + 001 A 4 = -5.96760e-006

29th page
K = 1.13820e-001 A 4 = -1.21835e-006

Various data Zoom ratio 28.63
Wide angle Medium Telephoto focal length 4.54 45.56 130.00
F number 3.37 6.50 7.10
Angle of view 36.90 4.86 1.71
Total lens length 83.15 96.99 101.70
BF 4.31 4.31 4.31

d 5 0.50 17.05 23.10
d12 4.96 2.26 0.92
d16 21.44 2.80 0.37
d25 4.78 23.36 17.98
d28 6.73 6.78 14.60
d34 0.50 0.50 0.50


Zoom lens group data group Start surface Focal length Lens construction length
1 1 35.46 7.67
2 6 -7.14 7.23
3 13 -42.15 10.00
4 17 13.63 9.73
5 26 -14.61 1.94
6 29 15.60 3.47



Table 6 Numerical Example 6
Surface data surface number rd nd vd
1 48.152 0.95 2.00069 25.5
2 26.075 4.55 1.49700 81.5
3 -197.087 0.05
4 26.906 2.20 1.80 400 46.6
5 155.239 (variable)
6 -436.011 0.45 2.00069 25.5
7 8.233 2.96
8 * -22.586 0.50 1.88202 37.2
9 22.395 0.35
10 16.198 2.70 1.95906 17.5
11 -17.467 0.40 1.80 400 46.6
12 56.665 (variable)
13 ∞ 8.50 1.91082 35.3
14 ∞ 1.00
15 -8.628 0.50 1.49700 81.5
16 -13.564 (variable)
17 * 8.938 2.55 1.55332 71.7
18 * -38.133 1.00
19 (Aperture) ∞ 1.32
20 16.576 0.45 1.91082 35.3
21 7.971 1.11
22 9.647 0.45 1.88 300 40.8
23 7.332 2.55 1.49700 81.5
24 -27.514 0.05
25 ∞ (variable)
26 50.171 0.50 1.80 400 46.6
27 5.661 1.33 1.70154 41.2
28 11.848 (variable)
29 * 12.987 3.18 1.55332 71.7
30 -27.536 1.58
31 ∞ 0.30 1.51633 64.1
32 ∞ 1.60
33 ∞ 0.50 1.51633 64.1
34 ∞ (variable)
Image plane ∞

Aspheric data 8th surface
K = -5.23682e + 000 A 4 = 1.22621e-005 A 6 = 1.16218e-007 A 8 = 7.70731e-009

17th page
K = -4.64368e-001 A 4 = -3.82286e-005 A 6 = -4.14069e-007 A 8 = 5.87902e-009

18th page
K = -3.90763e + 001 A 4 = 2.35620e-005

29th page
K = -1.17246e + 000 A 4 = 5.43265e-005

Various data Zoom ratio 33.99
Wide angle Medium Telephoto focal length 4.40 47.79 149.43
F number 3.33 6.50 7.10
Angle of view 37.80 4.64 1.49
Total lens length 85.63 99.47 104.17
BF 4.20 4.20 4.20

d 5 0.50 17.34 23.45
d12 5.37 2.36 0.96
d16 22.31 2.45 0.37
d25 5.14 27.23 17.23
d28 8.50 6.28 18.35
d34 0.49 0.49 0.49


Zoom lens group data group Start surface Focal length Lens construction length
1 1 34.84 7.75
2 6 -6.50 7.37
3 13 -49.27 10.00
4 17 13.99 9.43
5 26 -16.34 1.83
6 29 16.37 3.18



Table 7 Numerical Example 7
Surface data surface number rd nd vd
1 60.764 0.90 2.00069 25.5
2 26.521 4.60 1.49700 81.5
3 -147.452 0.05
4 26.801 2.27 1.83481 42.7
5 193.739 (variable)
6 -1116.202 0.45 1.88202 37.2
7 * 8.245 3.40
8 -24.283 0.50 1.88202 37.2
9 30.312 0.35
10 19.677 2.71 1.95906 17.5
11 -16.353 0.40 2.00 100 29.1
12 153.414 (variable)
13 -12.375 0.50 1.49700 81.5
14 -22.679 (variable)
15 * 9.053 2.43 1.55332 71.7
16 * -34.021 1.00
17 (Aperture) ∞ 1.32
18 14.249 0.45 1.95375 32.3
19 8.148 1.13
20 10.780 0.45 1.83481 42.7
21 7.462 2.16 1.49700 81.5
22 -53.267 1.68
23 ∞ (variable)
24 39.333 0.50 1.88202 37.2
25 5.637 1.56 1.69895 30.1
26 11.935 (variable)
27 * 12.984 2.94 1.65844 50.9
28 -52.947 1.60
29 ∞ 0.30 1.51633 64.1
30 ∞ 1.60
31 ∞ 0.50 1.51633 64.1
32 ∞ (variable)
Image plane ∞

Aspheric data 7th surface
K = -9.74253e-001 A 4 = 1.63739e-004 A 6 = 1.56642e-006 A 8 = 2.01012e-008

15th page
K = -5.20508e-001 A 4 = -4.15229e-005 A 6 = -1.02320e-006 A 8 = 5.38370e-009

16th page
K = -3.92119e + 001 A 4 = -2.96973e-005

27th page
K = 1.17164e + 000 A 4 = -4.90737e-005

Various data Zoom ratio 25.18

Focal length 4.54 46.11 114.40
F number 3.34 6.26 7.00
Angle of view 36.90 4.80 1.94
Total lens length 83.39 95.05 100.49
BF 4.22 4.22 4.22

d 5 0.50 17.84 23.00
d12 15.17 9.50 9.77
d14 20.77 3.12 0.37
d23 5.22 22.53 18.55
d26 5.76 6.10 12.83
d32 0.50 0.50 0.50


Zoom lens group data group Start surface Focal length Lens construction length
1 1 35.69 7.82
2 6 -7.07 7.81
3 13 -55.60 0.50
4 15 14.35 8.93
5 24 -14.53 2.06
6 27 16.07 2.94


L1 : 第1群
L2 : 第2群
L3 : 第3群
L4 : 第4群
L5 : 第5群
L6 : 第6群
SP : 絞り
GB : ガラスブロック
IP : 像面
d : d線
g : g線
Fno : Fナンバー
w : 半画角
S : サジタル像面
M : メリジオナル像面
L1: First group
L2: Second group
L3: Group 3
L4: Group 4
L5: Group 5
L6: Group 6
SP: Aperture
GB: Glass block
IP: Image plane
d: d line
g: g line
Fno: F number
w: Half angle of view
S: Sagittal image plane
M: Meridional image plane

Claims (11)

A.物体側より像側へ順に正の屈折力を有する第1レンズ群、負の屈折率を有する第2レンズ群、負の屈折力を有する第3レンズ群、正の屈折力を有する群を含む後続群からなり、
B.第2レンズ群は少なくとも各1枚の負レンズ、正レンズを有し、
C.変倍時の第1レンズ群、第2レンズ群の移動量を各々M1、M2とし、第2レンズ群の広角端、望遠端での横倍率をβ2w、β2tとしたとき、下記条件式を満足することを特徴とするズームレンズ。ここで、M1、M2は各々物体側への移動量を−、像側への移動量を+とする。
−8.0 < M1/M2 < −2.5
7.0 < β2t/β2w < 16.0
A. Subsequent including a first lens group having a positive refractive power in order from the object side to the image side, a second lens group having a negative refractive index, a third lens group having a negative refractive power, and a group having a positive refractive power A group of
B. The second lens group has at least one negative lens and one positive lens,
C. The following conditional expressions are satisfied when the moving amounts of the first and second lens units at zooming are M1 and M2, respectively, and the lateral magnification at the wide-angle end and telephoto end of the second lens unit is β2w and β2t. Zoom lens characterized by that. Here, for M1 and M2, the amount of movement toward the object side is −, and the amount of movement toward the image side is +.
−8.0 <M1 / M2 <−2.5
7.0 <β2t / β2w <16.0
A.該構成において、該第1レンズ群の焦点距離をf1、広角端の焦点距離をfwとしたとき、以下の条件式を満足することを特徴とする請求項1に記載のズームレンズ。
6.5 < f1/fw < 10.0
A. 2. The zoom lens according to claim 1, wherein in the configuration, when the focal length of the first lens unit is f <b> 1 and the focal length at the wide-angle end is fw, the following conditional expression is satisfied.
6.5 <f1 / fw <10.0
A.該後続レンズ群に第4レンズ群を有し、変倍時の第4レンズ群の移動量をM4としたとき、以下の条件式を満足することを特徴とする請求項1又は請求項2に記載のズームレンズ。ここで、M4は物体側への移動量を−、像側への移動量を+とする。
−6.0 < M4/fw < −3.5
A. 3. The following conditional expression is satisfied, wherein the succeeding lens group includes a fourth lens group, and the amount of movement of the fourth lens group at the time of zooming is M4. The described zoom lens. Here, in M4, the amount of movement toward the object side is-, and the amount of movement toward the image side is +.
-6.0 <M4 / fw <-3.5
A.該第4レンズ群は正の屈折力を有し、広角端、望遠端の横倍率をβ4t、β4wとしたとき、以下の条件式を満足することを特徴とする請求項1乃至請求項3の何れか1項に記載のズームレンズ。
1.0 <β4t/β4w < 5.0
A. 4. The fourth lens group according to claim 1, wherein the fourth lens group has a positive refractive power, and satisfies the following conditional expressions when the lateral magnifications at the wide-angle end and the telephoto end are β4t and β4w, respectively: The zoom lens according to any one of the items.
1.0 <β4t / β4w <5.0
A.該後続レンズ群の広角端での合成焦点距離をfreとしたとき、以下の条件式を満足することを特徴とする請求項1乃至請求項4の何れか1項に記載のズームレンズ。
3.1 < fre/fw < 7.0
A. 5. The zoom lens according to claim 1, wherein the following conditional expression is satisfied, where fre is a combined focal length at the wide-angle end of the subsequent lens group.
3.1 <fre / fw <7.0
A.該第4レンズ群は複数の正レンズを有し、第4レンズ群中の正レンズの平均アッべ数をν4pとしたとき、以下の条件式を満足することを特徴とする請求項1乃至請求項5の何れか1項に記載のズームレンズ。
ν4p > 70
A. The fourth lens group includes a plurality of positive lenses, and satisfies the following conditional expression when an average Abbe number of positive lenses in the fourth lens group is ν4p. 6. The zoom lens according to any one of items 5.
ν4p> 70
A.該第2レンズ群の平均屈折率をN2aveとしたとき、以下の条件式を満足することを特徴とする請求項1乃至請求項6の何れか1項に記載のズームレンズ。
N2ave > 1.85
A. 7. The zoom lens according to claim 1, wherein when the average refractive index of the second lens group is N2ave, the following conditional expression is satisfied.
N2ave> 1.85
A.該第4レンズ群全体あるいは一部を光軸方向に垂直に移動させて、被写体像の像面移動を補正することを特徴とする請求項1乃至請求項7の何れか1項に記載のズームレンズ。 A. The zoom according to any one of claims 1 to 7, wherein the whole or a part of the fourth lens group is moved vertically in the optical axis direction to correct the image plane movement of the subject image. lens. A.該第3レンズ群中には光路を折り曲げるための部材を有することを特徴とする請求項1乃至請求項8の何れか1項に記載のズームレンズ。 A. 9. The zoom lens according to claim 1, wherein the third lens group includes a member for bending an optical path. A.請求項1乃至請求項9の何れか1項に記載のズームレンズと広角側での有効像円径を望遠端での有効像円径よりも小さくしたことを特徴とする光学機器。 A. 10. An optical apparatus comprising: the zoom lens according to claim 1; and an effective image circle diameter at a wide angle side smaller than an effective image circle diameter at a telephoto end. A.請求項1乃至請求項10の何れか1項に記載のズームレンズと該ズームレンズによって形成された像を受光する撮像素子を有することを特徴とする光学機器。 A. 11. An optical apparatus comprising: the zoom lens according to claim 1; and an image sensor that receives an image formed by the zoom lens.
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WO2018092296A1 (en) * 2016-11-21 2018-05-24 株式会社ニコン Variable magnification optical system, optical device, imaging device, and manufacturing method of variable magnification optical system
JP2021002063A (en) * 2020-09-18 2021-01-07 株式会社ニコン Zoom optical system, optical device, and image capturing device
US11333868B2 (en) 2016-11-21 2022-05-17 Nikon Corporation Zoom optical system, optical apparatus, imaging apparatus and method for manufacturing the zoom optical system

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2018092296A1 (en) * 2016-11-21 2018-05-24 株式会社ニコン Variable magnification optical system, optical device, imaging device, and manufacturing method of variable magnification optical system
JPWO2018092296A1 (en) * 2016-11-21 2019-10-10 株式会社ニコン Variable magnification optical system, optical apparatus, imaging apparatus, and variable magnification optical system manufacturing method
US11269164B2 (en) 2016-11-21 2022-03-08 Nikon Corporation Zoom optical system, optical apparatus, imaging apparatus and method for manufacturing the zoom optical system
US11333868B2 (en) 2016-11-21 2022-05-17 Nikon Corporation Zoom optical system, optical apparatus, imaging apparatus and method for manufacturing the zoom optical system
US11740442B2 (en) 2016-11-21 2023-08-29 Nikon Corporation Zoom optical system, optical apparatus, imaging apparatus and method for manufacturing the zoom optical system
JP2021002063A (en) * 2020-09-18 2021-01-07 株式会社ニコン Zoom optical system, optical device, and image capturing device

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