# Patent application title: ZOOM LENS

##
Inventors:
Hisayuki Yamanaka (Saitama-Shi, JP)
Dayong Li (Saitama-Shi, JP)
Dayong Li (Saitama-Shi, JP)

IPC8 Class: AG02B1514FI

USPC Class:
359684

Class name: With variable magnification (e.g., zoom type) with mechanical compensation other than first group moves for focusing (internal focus type)

Publication date: 2011-01-27

Patent application number: 20110019288

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# Patent application title: ZOOM LENS

##
Inventors:
Dayong Li
Hisayuki YAMANAKA

Agents:
JACOBSON HOLMAN PLLC

Assignees:

Origin: WASHINGTON, DC US

IPC8 Class: AG02B1514FI

USPC Class:

Publication date: 01/27/2011

Patent application number: 20110019288

## Abstract:

An inner-focusing zoom lens that includes multi groups of lens pieces,
namely, the first lens group or the leading lens group of positive
refractivity, the second lens group of negative refractivity, and the
remaining trailing groups of positive refractivity, as a whole. At least
one group of positive refractivity among the trailing groups includes two
or more negative lens pieces, at least one of which is connected on its
surface to another lens piece to form a duplicated composite lens so that
the junction between two of them functions to diverge incident beams.
Assuming now that a sum of the refractivities of all the junctions of the
composite lenses can be expressed as Σφ=Σ|(N1-N2)/R|
where N1 and N2 are refractivities that substances before and after the
junction of the composite lenses respectively have, R is a radius of
curvature of the junction, ft is a focal length of the comprehensive lens
optics of the zoom lens at the telephoto end.## Claims:

**1.**A zoom lens comprising at least five groups of lens pieces, namely, a first lens group or the leading lens group of positive refractivity, a second lens group of negative refractivity, a third lens group of positive refractivity, a fourth lens group of positive refractivity, and a fifth lens group of negative refractivity all arranged in this order on the closest to the photoshot subject foremost basis, or comprising at least six groups of lens pieces, namely, a first lens group or the leading lens group of positive refractivity, a second lens group of negative refractivity, a third lens group of positive refractivity, a fourth lens group of positive refractivity, a fifth lens group of positive refractivity, and a sixth lens group of negative refractivity all arranged in this order on the closest to the photoshot subject foremost basis, whereinthe first lens group at least includes one negative lens piece and two or more positive lens pieces, and the first lens group provides optical properties as expressed by the following formulae:40<vd1<55 (2)20<vd2<35 (3)where vd1 is an Abbe number of the negative lens piece(s) in the first lens group, and vd2 is the Abbe number of the positive lens piece(s) in any one of the lens groups of positive refractivity succeeding to the first lens group.

**2.**In an inner-focusing zoom lens that does not conduct the floating focusing and that comprises multi groups of lens pieces, namely, the first lens group or the leading lens group of positive refractivity, the second lens group of negative refractivity, and the remaining trailing groups of positive refractivity, as a whole,the second lens group includes a meniscus negative lens having its convex surface faced toward the photoshot subject, and a composite lens having negative and positive lens pieces connected to one another, and the second lens group provides optical properties as expressed by the following formulae:1<R/f(wide)<8 (4)

**2.**omega.(wide)<40 (5)where R is a radius of curvature of an objective surface of the foremost lens piece in the second lens group, f(wide) is a focal length of the comprehensive lens optics at the wide-angle end, and ω(wide) is a half field angle of the comprehensive lens optics at the wide-angle end.

**3.**The zoom lens according to claim 2, comprising the first lens group or the leading lens group of positive refractivity, the second lens group of negative refractivity, and the remaining trailing groups of positive refractivity, as a whole, at least one group of positive refractivity among the trailing groups including two or more negative lens pieces, at least one of which is connected on its surface to another lens piece to form a duplicated composite lens so that the junction between two of them functions to diverge incident beams; assuming now that a sum of the refractivities of all the junctions of the composite lenses can be expressed as Σφ=Σ|(N1-N2)/R| where N1 and N2 are refractivities that substances before and after the junction of the composite lenses respectively have, R is a radius of curvature of the junction, f(tele) is a focal length of the comprehensive lens optics of the zoom lens at the telephoto end, and φ(tele)=1/f(tele) is the refractivity of the comprehensive lens optics at the telephoto end, the requirement as defined in the following formula are satisfied:2<Σφ/φ(tele)<10 (6)

**4.**The zoom lens according to claim 2, wherein at least one group of positive refractivity among the third lens group and all the succeeding lens groups includes a triplicated composite lens of negative-positive-negative power configuration of three of the lens pieces.

## Description:

**CROSS**-REFERENCE TO RELATED APPLICATIONS

**[0001]**This is a divisional application of U.S. patent application Ser. No. 12/318,515, filed on Dec. 30, 2008, and hereby incorporated in its entirety by reference, which claimed priority to Japanese Patent Application No. 2008-004557, filed Jan. 11, 2008, and Japanese Patent Application No. 2008-004558, filed Jan. 11, 2008, under 35 U.S.C. §119, and which are hereby incorporated in their entireties by reference.

**FIELD OF THE INVENTION**

**[0002]**The present invention relates to inner-focusing or rear-focusing telephotography zoom lenses, and more particularly, to zoom lenses suitable for 35-mm cameras, video cameras, electronic still cameras, and so forth that are of approximately 4.3 to 5.7 in variable power ratio and that are capable of attaining enhanced optical performances throughout the entire ranges of both power ratio and objective distance.

**[0003]**The present invention is especially directed to the zoom lenses that have merely a single group of lens pieces among other groups utilized for the inner-focusing or the rear-focusing to well compensate for varied spherical aberration at the telephoto end during the focusing.

**BACKGROUND ART**

**[0004]**In the prior art, it is well known that some zoom lenses are adapted to simply displace the leading group of lens pieces closest to a photoshot subject for the focusing, which may be referred to as a `front lens focusing system`. With such a front lens focusing system, switching a focusing mode to the Automated forces the large heavy lens pieces to move instantaneously, resulting in an unsatisfactory rapidity.

**[0005]**Additional types of the focusing system, which are known as `inner-focusing` and `rear-focusing` have been developed in the art which enable rapid focusing by virtue of the reduced dimensions of the focusing lens groups.

**[0006]**With such inner-focusing and rear-focusing, however, their rapid focusing ability is a tradeoff of more largely varied aberration, and as a result of the focusing, it becomes hard to compensate adequately for the aberration varied so much.

**[0007]**In a specific type of the zoom lens, which is for telephoto shooting with a field angle 2ω of less than 40 degrees at the wide-angle end, a positive lens piece(s) in the first lens group has its convex surface faced toward the image plane while a negative lens piece(s) closest to the photoshot subject in the second lens group has its objective surface flattened or convexed in shape and faced toward the photoshot subject, so as to reduce variations in spherical aberration at the telephoto end, thereby facilitating the compensation, which is a tradeoff of considerable difficulties in adjusting and controlling the varied curvature of the image plane at the wide-angle end.

**[0008]**For instance, one typical inner-focusing zoom lens already disclosed consists of five groups of lens pieces, including their respective optical properties, i.e., of positive, negative, positive, positive, and negative refractivities, respectively (see Patent Document 1 listed below).

**[0009]**Another zoom lens coping with the aforementioned disadvantage in the art is of six groups of lens pieces where only the fifth succeeding to the first or the leading group of them is displaced for the focusing (see Patent Document 2 listed below).

**[0010]**Still another typical zoom lens in the prior art is of six groups of lens pieces, namely, the ones respectively having positive, negative, positive, negative, positive, and negative refractivities, and the sixth serving as the primary focusing lens along with the fourth behave as floating lens during the focusing for a shift from long distance zooming to short distance zooming (see Patent Document 3 listed below).

**PATENT DOCUMENT**1

**[0011]**Japanese Patent Publication of Unexamined Application No. 2005-292338

**PATENT DOCUMENT**2

**[0012]**Japanese Patent Publication of Unexamined Application No. H10-133107

**PATENT DOCUMENT**3

**[0013]**Japanese Patent Publication of Unexamined Application No. 2000-47107

**[0014]**The zoom lens as disclosed in Patent Document 1 has a problem of significant variation in curved image plane at the wide-angle end due to a negative lens piece closest to the photoshot subject in the second lens group that has its surface closer to the subject shaped in concave.

**[0015]**In the zoom lens as disclosed in Patent Document 2, the first or the leading to the fourth of the lens groups underdevelop the varied spherical aberration during the focusing for the shift from the long distance zooming to the short distance zooming; however, the fifth lens group permits the variations in spherical aberration to be overdone and prevalent by means of connecting a single negative lens piece and another lens piece into a composite lens with its junction serving to diverge incident beams, so as to countervail the variations in the spherical aberration in the lens optics, as a whole. Configured in this manner, however, the zoom lens fails to sufficiently adjust the varied spherical aberration as desired in the comprehensive lens optics, especially, at the telephoto end, due to the insufficient diverging effects at the junction of the composite lenses.

**[0016]**Patent Document 2 also teaches the fifth and the fourth of the lens groups behave in the floating manner for the focusing. This is especially for adjusting and controlling both the curved image plane at the wide-angle end and the varied spherical aberration at the telephoto end. In contrast with the one that carries out the focusing simply relying on the inner-focusing system, however, this prior art embodiment becomes more complicated in structure because of additional coupling components to a lens barrel to cope with the floating.

**[0017]**According to the disclosure of Patent Document 3, the first to the fourth of the lens groups underdevelop the varied spherical aberration, and instead, the fifth overturns the same during the focusing, which permit the variations in spherical aberration to be reduced in the lens optics, as a whole. However, the negative lens of the composite lens insufficiently diverges the incident beam thereon to satisfactorily compensate for the varied spherical aberration at the telephoto end. Moreover, the teachings about the focusing where the fourth and the six of the lens groups behave in the floating manner bring about another problem of the more complicated structure due to the coupling components added to the lens barrel to conduct the floating.

**[0018]**During the focusing for the shift from the long distance zooming to the short distance zooming, in general, the zoom lens is prone to underdevelop the variations in spherical aberration unless it is specifically modified to address the desired reduction in displacement of the focusing lens groups or modified in some other ways, and this tendency is conspicuous especially at the telephoto end. As to the zoom lenses designed specifically for the telephoto shooting where a focal length is as long as 400 mm, degradation in optical performance is considerable during the focusing for the short distance zooming.

**[0019]**The present invention is made to overcome the aforementioned disadvantages in the prior art where the zoom lenses employing the focusing system such as inner-focusing, the rear-focusing, or the like, allow for rapid focusing in contrast with the front lens focusing system but compromise with difficulty in well compensating for the varied aberration, and accordingly, it is an object of the present invention to provide a zoom lens that has merely a single group of lens pieces among other groups utilized for the inner-focusing or the rear-focusing to well compensate for the varied spherical aberration at the telephoto end during the focusing.

**SUMMARY OF THE INVENTION**

**[0020]**In an aspect of the present invention, there is provided an inner-focusing zoom lens that includes multi groups of lens pieces, namely, the first lens group or the leading lens group of positive refractivity, the second lens group of negative refractivity, and the remaining trailing groups of positive refractivity, as a whole. At least one group of positive refractivity among the trailing groups includes two or more negative lens pieces, at least one of which is connected on its surface to another lens piece to form a duplicated composite lens so that the junction between two of them functions to diverge incident beams. Assuming now that a sum of the refractivities of all the junctions of the composite lenses can be expressed as Σφ=Σ|(N1-N2)/R| where N1 and N2 are refractivities that substances before and after the junction of the composite lenses respectively have, R is a radius of curvature of the junction, ft is a focal length of the comprehensive lens optics of the zoom lens at the telephoto end, and φt=1/ft is the refractivity of the comprehensive lens optics at the telephoto end, the requirements as defined in the following formula are satisfied:

2<Σφ/φt<10 (1)

**[0021]**The inner-focusing zoom lens of the present invention can be described in more detailed as follows:

**[0022]**The zoom lens is comprised of at least five of the groups of lens pieces, namely, the first lens group or the leading lens group of positive refractivity, the second lens group of negative refractivity, the third lens group of positive refractivity, the fourth lens group of positive refractivity, and the fifth lens group of negative refractivity all arranged in this order on the closest to the photoshot subject foremost basis, and the fourth lens group includes two or more negative lens pieces, at least one of which is connected on its surface to another lens piece into a duplicated composite lens so that the junction between two of them functions to diverge incident beams.

**[0023]**The zoom lens is modified to include at least six of the groups of lens pieces, namely, the first lens group or the leading lens group of positive refractivity, the second lens group of negative refractivity, the third lens group of positive refractivity, the fourth lens group of positive refractivity, the fifth lens group of positive refractivity, and the six lens group of negative refractivity all arranged in this order on the closest to the photoshot subject foremost basis, and the fifth lens group includes two or more negative lens pieces, at least one of which is connected on its surface to another lens piece into a duplicated composite lens so that the junction between two of them functions to diverge incident beams.

**[0024]**The zoom lens in the present aspect is characterized in that the rearmost lens group closest to the image plane are used for the focusing.

**[0025]**The zoom lens in the present aspect is also characterized in that the rearmost lens of positive refractivity and closest to the image plane is used for the focusing.

**[0026]**The zoom lens is also characterized in that at least one group of positive refractivity among the third lens group and all the succeeding lens groups includes a triplicated composite lens of negative-positive-negative power configuration of three of the lens pieces.

**[0027]**In another aspect of the present invention, the zoom lens is comprised of at least five of the groups of lens pieces, namely, the first lens group or the leading lens group of positive refractivity, the second lens group of negative refractivity, the third lens group of positive refractivity, the fourth lens group of positive refractivity, and the fifth lens group of negative refractivity all arranged in this order on the closest to the photoshot subject foremost basis, or is modifiably comprised of at least six of the groups of lens pieces, namely, the first lens group or the leading lens group of positive refractivity, the second lens group of negative refractivity, the third lens group of positive refractivity, the fourth lens group of positive refractivity, the fifth lens group of positive refractivity, and the six lens group of negative refractivity all arranged in this order on the closest to the photoshot subject foremost basis. In either of such zoom lenses, the first lens group at least includes one negative lens piece and two or more positive lens pieces, and the first lens group provides optical properties as expressed by the following formulae:

40<vd1<55 (2)

20<vd2<35 (3)

**[0028]**where vd1 is an Abbe number of the negative lens piece(s) in the first lens group, and vd2 is the Abbe number of the positive lens piece(s) in any one of the lens groups of positive refractivity succeeding to the first lens group.

**[0029]**In still another aspect of the present invention, the inner-focusing zoom lens that does not conduct the floating focusing includes multi groups of lens pieces, namely, the first lens group or the leading lens group of positive refractivity, the second lens group of negative refractivity, and the remaining trailing groups of positive refractivity, as a whole. The second lens group includes a meniscus negative lens having its convex surface faced toward the photoshot subject, and another composite lens having negative and positive lens pieces connected to one another, and the second lens group provides optical properties as expressed by the following formulae:

1<R/f(wide)<8 (4)

2ω(wide)<40 (50)

**where R is a radius of curvature of an objective surface of the foremost**lens piece in the second lens group, f(wide) is a focal length of the comprehensive lens optics at the wide-angle end, and ω(wide) is a half field angle of the comprehensive lens optics at the wide-angle end.

**[0030]**The zoom lens in the present aspect is characterized in that at least one group of positive refractivity among the third lens group and all the succeeding lens groups includes a triplicated composite lens of negative-positive-negative power configuration of three of the lens pieces.

**[0031]**The zoom lens is comprised of the first lens group or the leading lens group of positive refractivity, the second lens group of negative refractivity, and the remaining trailing groups of positive refractivity, as a whole. At least one group of positive refractivity among the trailing groups includes two or more negative lens pieces, at least one of which is connected on its surface to another lens piece to form a duplicated composite lens so that the junction between two of them functions to diverge incident beams. Assuming now that a sum of the refractivities of all the junctions of the composite lenses can be expressed as Σφ=Σ|(N1-N2)/R| where N1 and N2 are refractivities that substances before and after the junction of the composite lenses respectively have, R is a radius of curvature of the junction, f(tele) is a focal length of the comprehensive lens optics of the zoom lens at the telephoto end, and φ(tele)=1/f(tele) is the refractivity of the comprehensive lens optics at the telephoto end, the following formula is given:

2<Σφ/φ(tele)<10 (6)

**[0032]**The zoom lens can be modified to be characterized in that at least one group of positive refractivity among the third lens group and all the succeeding lens groups includes a triplicated composite lens of negative-positive-negative power configuration of three of the lens pieces.

**[0033]**Details of the Required Components

**[0034]**The zoom lens of the present invention satisfies the conditions as given by the following formula:

2<Σφ/φt<10 (1)

**with the assumptions that the sum of the refractivities of all the**junctions of the composite lenses can be expressed as Σφ=Σ|(N1-N2)/R| where N1 and N2 are the refractivities that substances before and after the junction of the composite lenses respectively have, R is the radius of curvature of the junction, ft is the focal length of the comprehensive lens optics of the zoom lens at the telephoto end, and φt=1/ft is the refractivity of the comprehensive lens optics at the telephoto end.

**[0035]**The formula (1) defines a range of the sum of the refractivities of all the junctions of the composite lenses in any of the lens group(s) (only the 4th in this case) including two or more negative lenses and one or more composite lenses, relative to the refractivity of the comprehensive lens optics. As the sum of the refractivities of the junctions exceeds the lower limit, the zoom lens tends to lose more the effects of varying the spherical aberration to be overdone and prevalent, resulting in the comprehensive lens optics hardly countervailing the spherical aberration, especially, at the telephoto end.

**[0036]**As the sum exceeds the upper limit defined in the formula (1), the zoom lens tends to have the spherical aberration excessively overdone and prevalent during the fourth lens group's focusing for the long distance zooming, resulting in the zoom lens hardly countervailing the spherical aberration throughout the entire variable power range unless the lens group(s) displaced ahead of the fourth lens group, especially, the third lens group adjusts the spherical aberration to be emphatically underdeveloped.

**[0037]**In an embodiment of the present invention, a zoom lens comprising at least five of the groups of lens pieces, namely, the first lens group or the leading lens group of positive refractivity, the second lens group of negative refractivity, the third lens group of positive refractivity, the fourth lens group of positive refractivity, and the fifth lens group of negative refractivity all arranged in this order on the closest to the photoshot subject foremost basis, or comprising at least six of the groups of lens pieces, namely, the first lens group or the leading lens group of positive refractivity, the second lens group of negative refractivity, the third lens group of positive refractivity, the fourth lens group of positive refractivity, the fifth lens group of positive refractivity, and the six lens group of negative refractivity all arranged in this order on the closest to the photoshot subject foremost basis,

**[0038]**the first lens group at least includes one negative lens piece and two or more positive lens pieces, and the first lens group provides optical properties as expressed by the following formulae:

40<vd1<55 (2)

20<vd2<35 (3)

**where vd**1 is an Abbe number of the negative lens piece(s) in the first lens group, and vd2 is the Abbe number of the positive lens piece(s) in any one of the lens groups of positive refractivity succeeding to the first lens group.

**[0039]**The formula (2) defines a range of the Abbe number of the negative lens piece in the first lens group. As the Abbe number exceeds the lower limit, the zoom lens tends to encounter difficulties in well compensating for chromatic aberration of magnification of the g-line and comatic aberration in an area below the g-line, especially, at the telephoto end. As the Abbe number exceeds the upper limit, the zoom lens tends to get hard to well compensate for the chromatic aberration of magnification of the c-line, especially, at the telephoto end.

**[0040]**The formula (3) defines a range of the Abbe number of the positive lens piece(s) in any one of the lens group(s) of positive refractivity succeeding to the aperture stop.

**[0041]**As the Abbe number exceeds the lower limit, the zoom lens tends to encounter difficulties in well compensating for the chromatic aberration of magnification of the g-line, especially, at the telephoto end. As the Abbe number exceeds the upper limit, the zoom lens tends to get hard to well compensate for axial chromatic aberration of the c-line and the chromatic aberration of magnification of the same, especially, at the telephoto end.

**[0042]**The zoom lens according to the present invention applies the formula (2) to well compensate for the chromatic aberration of magnification of the g-line, especially at the telephoto end. With an adjustment by simply applying the formula (2), it becomes hard instead to satisfactorily correct the chromatic aberration of magnification of the c-line, especially at the telephoto end. Hence, such adjustment along with the application of the formula (3) enables the zoom lens to successfully correct the chromatic aberration of magnification of the c-line as well.

**[0043]**In another embodiment of the present invention, the inner-focusing zoom lens comprises at least five of the groups of lens pieces, namely, the first lens group or the leading lens group of positive refractivity, the second lens group of negative refractivity, the third lens group of positive refractivity, the fourth lens group of positive refractivity, and the fifth lens group of negative refractivity all arranged in this order on the closest to the photoshot subject foremost basis; the fourth lens group including two or more negative lens pieces, at least one of which is connected on its surface to another lens piece into a duplicated composite lens so that the junction between two of them functions to diverge incident beams. This zoom lens is advantageous in that its entire length can be downsized. To depart from the above-defined requirements would undesirably increase the dimensions of the zoom lens.

**[0044]**In another embodiment of the invention, the inner-focusing zoom lens comprises at least six of the groups of lens pieces, namely, the first lens group or the leading lens group of positive refractivity, the second lens group of negative refractivity, the third lens group of positive refractivity, the fourth lens group of positive refractivity, the fifth lens group of positive refractivity, and the sixth lens group of negative refractivity all arranged in this order on the closest to the photoshot subject foremost basis; the fifth lens group including two or more negative lens pieces, at least one of which is connected on its surface to another lens piece into a duplicated composite lens so that the junction between two of them functions to diverge incident beams. This zoom lens is preferred in that its entire length can be downsized and that it can well compensate for astigmatism throughout the entire zoom range. To departing from the above-defined requirements would lead to the zoom lens resulting in undesirably increased dimensions as well as difficulties in flattening the image plane throughout the entire zoom range.

**[0045]**In the zoom lens of the present invention, it is desirable that the rearmost lens group closest to the image plane primarily conducts the focusing. This is desirable in successfully reducing the variations in the spherical aberration, as a whole, in the comprehensive lens optics. When the rearmost lens group closest to the image plane is not used primarily to conduct the focusing, the zoom lens is unable to increase a height of the incident beams upon the lens group including at least two negative lens pieces and the composite lens during the focusing for the short distance zooming, and consequently, it fails to reduce the variations in the spherical aberration in the comprehensive lens optics.

**[0046]**In the zoom lens of the present invention, it is advantageous when the rearmost lens group of positive refractivity and closest to the image plane primarily conducts the focusing. This is advantageous in that the variations in the spherical aberration in the comprehensive lens optics can be reduced. When the rearmost lens group of positive refractivity and closest to the image plane is not used primarily to conduct the focusing, the zoom lens is unable to increase a height of the incident beams upon the lens group including two negative lens pieces and the composite lens during the focusing for the short distance zooming, and therefore, it fails to reduce the variations in the spherical aberration in the comprehensive lens optics.

**[0047]**The best mode to adjust and control the varied spherical aberration during the focusing, is when at least one group of positive refractivity among the third lens group and all the succeeding lens groups includes a triplicated composite lens of negative-positive-negative power configuration of three of the lens pieces. When this is not the case, the zoom lens encounters significantly frequented and increased higher-order aberration and adverse sensitivity that means considerable development of various types of the aberration due to manufacturing tolerance, eventually resulting in inability to design for fine products.

**[0048]**In an inner-focusing zoom lens that does not conduct the floating focusing and that comprises multi groups of lens pieces, namely, the first lens group or the leading lens group of positive refractivity, the second lens group of negative refractivity, and the remaining trailing groups of positive refractivity, as a whole,

**[0049]**the second lens group includes a meniscus negative lens having its convex surface faced toward the photoshot subject, and a composite lens having negative and positive lens pieces connected to one another, and the second lens group provides optical properties as expressed by the following formulae:

1<R/f(wide)<8 (4)

2ω(wide)<40 (5)

**where R is a radius of curvature of an objective surface of the foremost**lens piece in the second lens group, f(wide) is a focal length of the comprehensive lens optics at the wide-angle end, and ω(wide) is a half field angle of the comprehensive lens optics at the wide-angle end. The formula 1<R/f(wide)<8 set forth above provides a range of the radius of curvature of an objective surface of the negative lens piece closest to the photoshot subject in the second lens group, relative to the focal length at the wide-angel end. As the radius of curvature exceeds the upper limit, it is hard to well compensate for the variations in curvature of field during the focusing, especially, at the wide-angle end. As the radius of curvature exceeds the lower limit, the desired anti-aberration effectiveness imposed on the negative lens piece closest to the photoshot subject must be taken over and countervailed by another negative lens piece(s) in the same lens group, which cannot be attained with the triplicated composite power configuration of three of the lens pieces in the second lens group.

**[0050]**The formula 2ω(wide)<40 set forth above provides a range of the field angle at the wide-angle end.

**[0051]**As the field angle exceeds the upper limit, the zoom lens loses its merits as a telephoto-shooting zooming lens.

**[0052]**The formula 2<Σφ/φ(tele)<10 provides a range of the sum of the refractivities of all the junctions of the composite lenses disposed along with two or more negative lens pieces in the same lens group, relative to the refractivity of the comprehensive lens optics at the telephoto end.

**[0053]**As the sum of the refractivities exceeds the upper limit, the zoom lens tends to have the spherical aberration excessively overdone and prevalent during such a lens group's focusing for the long distance zooming, resulting in the zoom lens hardly countervailing the spherical aberration throughout the entire variable power range unless any one(s) displaced ahead of that lens group, especially, the third lens group adjusts the spherical aberration to be emphatically underdeveloped.

**[0054]**As the sum of the refractivities exceeds the lower limit, that lens group tends to lose more the effects of varying the spherical aberration to be overdone and prevalent, resulting in the comprehensive lens optics hardly countervailing the spherical aberration, especially, at the telephoto end.

**BRIEF DESCRIPTION OF THE DRAWINGS**

**[0055]**FIG. 1 is a sectional view illustrating a first embodiment of a zoom lens in accordance with the present invention.

**[0056]**FIG. 2 is a sectional view illustrating a second embodiment of the zoom lens in accordance with the present invention.

**[0057]**FIG. 3 is a sectional view illustrating a third embodiment of the zoom lens in accordance with the present invention.

**[0058]**FIG. 4 is a sectional view illustrating a fourth embodiment of the zoom lens in accordance with the present invention.

**[0059]**FIG. 5 is a sectional view illustrating a fifth embodiment of the zoom lens in accordance with the present invention.

**[0060]**FIG. 6 is a sectional view illustrating a sixth embodiment of the zoom lens in accordance with the present invention.

**[0061]**FIG. 7 depicts aberration at the wide-angle end under an assumption of the infinitely far imaging plane in the first exemplary zoom lens.

**[0062]**FIG. 8 depicts the aberration at the wide-angle end under another assumption of 1.6 meters in distance from the leading or foremost lens piece to a photoshot subject in the first exemplary zoom lens.

**[0063]**FIG. 9 depicts aberration at the intermediate focal length under the assumption of the infinitely far imaging plane in the first exemplary zoom lens.

**[0064]**FIG. 10 depicts the aberration at the intermediate focal length under the assumption of 1.6 meters in distance from the leading or foremost lens piece to the photoshot subject in the first exemplary zoom lens.

**[0065]**FIG. 11 depicts aberration at the telephoto end under the assumption of the infinitely far imaging plane in the first exemplary zoom lens.

**[0066]**FIG. 12 depicts the aberration at the telephoto end under the assumption of 1.6 meters in distance from the leading or foremost lens piece to the photoshot subject in the first exemplary zoom lens.

**[0067]**FIG. 13 depicts aberration at the wide-angle end under the assumption of the infinitely far imaging plane in the second exemplary zoom lens.

**[0068]**FIG. 14 depicts the aberration at the wide-angle end under the assumption of 1.6 meters in distance from the leading or foremost lens piece to the photoshot subject in the second exemplary zoom lens.

**[0069]**FIG. 15 depicts aberration at the intermediate focal length under the assumption of the infinitely far imaging plane in the second exemplary zoom lens.

**[0070]**FIG. 16 depicts the aberration at the intermediate focal length under the assumption of 1.6 meters in distance from the leading or foremost lens piece to the photoshot subject in the second exemplary zoom lens.

**[0071]**FIG. 17 depicts aberration at the telephoto end under the assumption of the infinitely far imaging plane in the second exemplary zoom lens.

**[0072]**FIG. 18depicts the aberration at the telephoto end under the assumption of 1.6 meters in distance from the leading or foremost lens piece to the photoshot subject in the second exemplary zoom lens.

**[0073]**FIG. 19 depicts aberration at the wide-angle end under the assumption of the infinitely far imaging plane in the third exemplary zoom lens.

**[0074]**FIG. 20 depicts the aberration at the wide-angle end under the assumption of 1.6 meters in distance from the leading or foremost lens piece to the photoshot subject in the third exemplary zoom lens.

**[0075]**FIG. 21 depicts aberration at the intermediate focal length under the assumption of the infinitely far imaging plane in the third exemplary zoom lens.

**[0076]**FIG. 22 depicts the aberration at the intermediate focal length under the assumption of 1.6 meters in distance from the leading or foremost lens piece to the photoshot subject in the third exemplary zoom lens.

**[0077]**FIG. 23 depicts aberration at the telephoto end under the assumption of the infinitely far imaging plane in the third exemplary zoom lens.

**[0078]**FIG. 24 depicts the aberration at the telephoto end under the assumption of 1.6 meters in distance from the leading or foremost lens piece to the photoshot subject in the third exemplary zoom lens.

**[0079]**FIG. 25 depicts aberration at the wide-angle end under the assumption of the infinitely far imaging plane in the fourth exemplary zoom lens.

**[0080]**FIG. 26 depicts the aberration at the wide-angle end under the assumption of 1.6 meters in distance from the leading or foremost lens piece to the photoshot subject in the fourth exemplary zoom lens.

**[0081]**FIG. 27 depicts aberration at the intermediate focal length under the assumption of the infinitely far imaging plane in the fourth exemplary zoom lens.

**[0082]**FIG. 28 depicts the aberration at the intermediate focal length under the assumption of 1.6 meters in distance from the leading or foremost lens piece to the photoshot subject in the fourth exemplary zoom lens.

**[0083]**FIG. 29 depicts aberration at the telephoto end under the assumption of the infinitely far imaging plane in the fourth exemplary zoom lens.

**[0084]**FIG. 30 depicts the aberration at the telephoto end under the assumption of 1.6 meters in distance from the leading or foremost lens piece to the photoshot subject in the fourth exemplary zoom lens.

**[0085]**FIG. 31 depicts aberration at the wide-angle end under the assumption of the infinitely far imaging plane in the fifth exemplary zoom lens.

**[0086]**FIG. 32 depicts the aberration at the wide-angle end under the assumption of 1.6 meters in distance from the leading or foremost lens piece to the photoshot subject in the fifth exemplary zoom lens.

**[0087]**FIG. 33 depicts aberration at the intermediate focal length under the assumption of the infinitely far imaging plane in the fifth exemplary zoom lens.

**[0088]**FIG. 34 depicts the aberration at the intermediate focal length under the assumption of 1.6 meters in distance from the leading or foremost lens piece to the photoshot subject in the fifth exemplary zoom lens.

**[0089]**FIG. 35 depicts aberration at the telephoto end under the assumption of the infinitely far imaging plane in the fifth exemplary zoom lens.

**[0090]**FIG. 36 depicts the aberration at the telephoto end under the assumption of 1.6 meters in distance from the leading or foremost lens piece to the photoshot subject in the fifth exemplary zoom lens.

**[0091]**FIG. 37 depicts aberration at the wide-angle end under the assumption of the infinitely far imaging plane in the sixth exemplary zoom lens.

**[0092]**FIG. 38 depicts the aberration at the wide-angle end under the assumption of 1.6 meters in distance from the leading or foremost lens piece to the photoshot subject in the sixth exemplary zoom lens.

**[0093]**FIG. 39 depicts aberration at the intermediate focal length under the assumption of the infinitely far imaging plane in the sixth exemplary zoom lens.

**[0094]**FIG. 40 depicts the aberration at the intermediate focal length under the assumption of 1.6 meters in distance from the leading or foremost lens piece to the photoshot subject in the sixth exemplary zoom lens.

**[0095]**FIG. 41 depicts aberration at the telephoto end under the assumption of the infinitely far imaging plane in the sixth exemplary zoom lens.

**[0096]**FIG. 42 depicts the aberration at the telephoto end under the assumption of 1.6 meters in distance from the leading or foremost lens piece to the photoshot subject in the sixth exemplary zoom lens.

**DETAILED DESCRIPTION OF THE INVENTION**

**[0097]**Zoom lenses according to the present invention, including their respective variations and modifications are adapted to conduct the focusing such as inner-focusing, rear-focusing, and the like, more briskly and quickly in comparison with the front lens focusing system, and the improved zoom lenses of groups of lens pieces merely displace a single group of lens pieces to well compensate for variations in spherical aberration, especially, at the telephoto end.

**Embodiment**1

**TABLE**-US-00001

**[0098]**f = 72.0785~390.0019 FNo. = 4.11~5.78 (Data on Surfaces) r d nd vd 0 (Objective Surface) ∞ ∞ 1 425.3905 2.3000 1.80420 46.50 2 105.0387 8.1955 1.49700 81.61 3 -562.0044 0.3000 4 110.7871 7.3867 1.49700 81.61 -1221.5706 Variable 6 256.4914 1.5000 1.48749 70.44 38.5631 5.8780 8 -89.5171 0.9000 1.48749 70.44 9 45.0811 3.4531 1.80610 33.27 10 120.9491 Variable 11 74.0490 3.7000 1.67003 47.20 12 -131.1456 1.9246 13 -47.6423 1.3000 1.80610 40.73 14 -280.5770 0.2000 15 43.7230 3.5000 1.72000 50.34 16 64.0768 4.3536 17 (Aperture Stop) ∞ Variable 18 -141.9867 3.5000 1.80518 25.46 19 -51.7664 0.1500 20 48.6209 1.3000 1.83400 37.34 21 24.6183 10.7880 1.51680 64.20 22 -27.6249 1.2000 1.84666 23.78 23 96.4484 2.2370 24 81.0305 4.3305 1.84666 23.78 25 -68.8511 Variable 26 191.9351 1.2000 1.77250 49.62 27 47.7663 2.5284 28 482.3384 4.0000 1.84666 23.78 29 -76.8478 5.0000 30 -69.1358 1.5000 1.83481 42.72 31 200.0000 Variable 32 (Image Plane) ∞ (Various Data) Zoom Ratio 5.411 WIDE MIDDLE TELE f 72.0785 167.1066 390.0019 FNo. 4.11 5.56 5.78 2ω° 33.212 14.454 6.234 Image Height 21.633 21.633 21.633 Full Lens Length 225.142 275.999 311.667 Variable Interval (Focused at the Infinity-Point) d0 ∞ ∞ ∞ d5 1.5000 54.4500 114.8693 d10 55.5123 30.0166 1.5000 d17 16.8647 10.0484 1.5000 d25 21.7305 14.7668 1.0000 BF 46.9090 84.0920 110.1720 Variable Interval (Focused with 1.6-meter Distance to the Subject) d0 1374.86 1324.00 1288.33 d5 1.5000 54.4500 114.8693 d10 55.5123 30.0166 1.5000 d17 16.8647 10.0484 1.5000 d25 23.3970 18.9842 17.1782 BF 45.2430 79.8750 93.9940 (Data on the Zoom Lens Groups) Group Initial Surface f 1 1 210.0756 2 6 -61.8149 3 11 165.5535 4 18 60.9734 5 26 -63.5770 (Values of the Primary Term in the Formulae) Formula (1) 9.68 Formula (2) 46.50 Formula (3) 23.78

**Embodiment**2

**TABLE**-US-00002

**[0099]**f = 72.0702~387.8665 FNo. = 4.15~5.74 (Data on the Surfaces) r d nd vd 0 (Objective Surface) ∞ ∞ 1 464.3037 2.3000 1.80400 46.58 2 117.2776 7.6304 1.49700 81.61 3 -668.1523 0.3000 4 125.0743 6.9036 1.49700 81.61 5 -1086.8029 Variable 6 400.0000 1.7000 1.51680 64.20 7 62.9843 2.9660 8 -209.8881 1.3000 1.48749 70.21 9 43.1221 2.5662 1.75520 27.51 10 70.2788 Variable 11 77.1859 3.2583 1.58913 61.18 12 -142.4720 2.4834 13 -43.6774 1.5000 1.72342 37.95 14 -360.1644 0.2000 15 48.1790 4.1604 1.75520 27.51 16 102.9396 3.0000 17 (Aperture Stop) ∞ Variable 18 221.3497 1.5000 1.76182 26.55 19 55.0393 3.5987 20 176.6014 4.9403 1.51633 64.15 21 -40.6879 0.2000 22 132.6269 5.9583 1.56883 56.34 23 -33.2235 1.3000 1.78590 44.19 24 -266.0050 0.2000 25 52.1984 4.0687 1.49700 81.61 26 -458.0671 Variable 27 103.5193 1.5000 1.83481 42.72 28 43.0987 2.3941 29 1915.8683 3.7371 1.76182 26.55 30 -44.9612 1.5000 1.48749 70.21 31 -66.5655 3.1137 32 -50.2801 1.2000 1.80400 46.58 33 200.0000 Variable 34 (Image Plane) ∞ (Various Data) Zoom Ratio 5.382 WIDE MIDDLE TELE f 72.0702 167.0620 387.8665 FNo. 4.15 5.12 5.74 2ω° 33.214 14.390 6.260 Image Height 21.633 21.633 21.633 Full Lens Length 230.089 283.557 320.126 Variable Interval (Focused at the Infinity-Point) d0 ∞ ∞ ∞ d5 7.7179 76.4777 132.8660 d10 62.9882 33.7114 1.5000 d17 15.9264 10.2597 1.5000 d26 20.8883 14.7132 1.5000 BF 47.0890 72.9160 107.2810 Variable Interval (Focused with 1.6-meter Distance to the Subject) d0 1369.91 1316.44 1279.87 d5 7.7179 76.4777 132.8660 d10 62.9882 33.7114 1.5000 d17 15.9264 10.2597 1.5000 d26 22.3449 19.0030 15.1222 BF 45.6330 68.6270 93.6590 (Data on the Zoom Lens Groups) Group Initial Surface f 1 1 232.6486 2 6 -71.5603 3 11 165.8567 4 18 56.5968 5 27 -57.0465 (Values of the Primary Term in the Formulae) Formula (1) 2.53 Formula (2) 46.58 Formula (3) 27.51

**Embodiment**3

**TABLE**-US-00003

**[0100]**f = 71.7730~291.9632 FNo. = 4.59~5.79 (Data on the Surfaces) r d nd vd 0 (Objective Surface) ∞ ∞ 1 75.0392 5.6833 1.48749 70.44 2 617.3294 0.2000 3 88.8879 1.4000 1.78590 43.93 4 44.0278 8.0931 1.49700 81.61 5 526.7875 Variable 6 275.5840 1.0000 1.77250 49.62 7 32.9367 2.9002 8 -251.0357 1.0000 1.48749 70.44 9 25.3841 4.0675 1.67270 32.17 10 135.9493 Variable 11 (Aperture Stop) ∞ 2.0000 12 29.8854 5.0241 1.48749 70.44 13 -268.4437 2.0014 14 -34.6079 1.0000 1.77250 49.62 15 -94.7884 Variable 16 -29.8468 2.7103 1.72825 28.32 17 -23.8487 0.1000 18 70.8448 1.0000 1.80610 33.27 19 28.8852 8.2977 1.48749 70.44 20 -20.2504 1.0000 1.80610 33.27 21 -42.2605 0.1000 22 37.7570 3.5000 1.77250 49.62 23 199.3442 Variable 24 97.6915 1.0000 1.62041 60.34 25 26.3176 2.9258 26 -153.4459 2.5953 1.84666 23.78 27 -40.0547 1.2000 1.77250 49.62 28 200.0000 Variable 34 (Image Plane) ∞ (Various Data) Zoom Ratio 4.068 WIDE MIDDLE TELE f 71.7730 140.0942 291.9632 FNo. 4.59 5.60 5.79 2ω° 32.824 17.054 8.246 Image Height 21.633 21.633 21.633 Full Lens Length 175.925 206.840 235.878 Variable Interval (Focused at Infinity-Point) d0 ∞ ∞ ∞ d5 1.6500 30.4176 65.7475 d10 28.9039 15.7723 3.6150 d15 20.3493 14.9521 7.8202 d23 13.6315 9.7660 1.5000 BF 52.5920 77.1330 98.3970 Variable Interval (Focused with 1.6-meter Distance to the Subject) d0 1424.07 1393.16 1364.12 d5 1.6500 30.4176 65.7475 d10 28.9039 15.7723 3.6150 d15 20.3493 14.9521 7.8202 d23 14.3597 11.3889 6.3196 BF 51.8640 75.5100 93.5770 (Data on the Zoom Lens Groups) Group Initial Surface f 1 1 139.7971 2 6 -49.1963 3 11 193.8488 4 16 36.0311 5 24 -39.7982 (Values of the Primary Term in the Formulae) Formula (1) 7.81 Formula (2) 43.93 Formula (3) 28.32

**Embodiment**4

**TABLE**-US-00004

**[0101]**f = 72.0790~388.0549 FNo. = 3.85~6.35 (Data on the Surfaces) r d nd vd 0 (Objective Surface) ∞ ∞ 1 241.2170 2.3000 1.83400 37.34 2 111.0797 6.7649 1.49700 81.61 3 -695.2799 0.3000 4 137.5395 5.8335 1.49700 81.61 5 -754.2861 Variable 6 350.0000 1.5000 1.62280 57.06 7 40.8284 4.5778 8 -86.6512 1.2000 1.48749 70.44 9 47.9402 3.3989 1.80610 33.27 10 266.2338 Variable 11 171.9973 3.3732 1.65844 50.85 12 -112.6153 1.9131 13 -42.7454 1.2000 1.83481 42.72 14 -261.9302 0.2000 15 74.0402 3.8458 1.60311 60.69 16 -179.3158 5.0000 17 (Aperture Stop) ∞ Variable 18 -414.6225 3.1568 1.78472 25.72 19 -78.3244 3.4069 20 78.3956 1.5000 1.79950 42.34 21 34.8786 10.1423 1.48749 70.44 22 -34.8808 1.5000 1.84666 23.78 23 -96.8311 0.3338 24 60.7270 4.5000 1.72000 50.34 25 -392.9783 Variable 26 132.9111 1.2000 1.80420 46.50 27 36.5287 2.8896 28 -489.4854 3.9259 1.84666 23.78 29 -36.8054 1.2000 1.83481 42.72 30 200.0000 Variable 31 (Image Plane) ∞ (Various Data) Zoom Ratio 5.384 WIDE MIDDLE TELE f 72.0790 167.0937 388.0549 FNo. 3.85 5.26 6.35 2ω° 33.130 14.400 6.248 Image Height 21.633 21.633 21.633 Full Lens Length 235.118 276.672 320.213 Variable Interval (Focused at the Infinity-Point) d0 ∞ ∞ ∞ d5 2.5000 46.8297 92.3228 d10 54.0017 26.1796 2.0000 d17 32.9868 25.7167 19.6391 d25 16.6794 11.7738 3.0000 BF 53.7880 91.0100 128.0890 Variable Interval (Focused with 1.6-meter Distance to the Subject) d0 1364.88 1323.33 1279.79 d5 2.5000 46.8297 92.3228 d10 54.0017 26.1796 2.0000 d17 32.2739 23.6712 12.9801 d25 17.3923 13.8193 9.6590 BF 53.7880 91.0100 128.0890 (Data on the Zoom Lens Groups) Group Initial Surface f 1 1 185.9118 2 6 -64.1404 3 11 199.4687 4 18 49.3767 5 26 -45.6959 (Values of the Primary Term in the Formulae) Formula (1) 7.47 Formula (2) 37.34 Formula (3) 25.72

**Embodiment**5

**TABLE**-US-00005

**[0102]**f = 70.7231~388.1393 FNo. = 4.05~5.87 (Data on the Surfaces) r d nd vd 0 (Objective Surface) ∞ ∞ 1 341.4865 2.3000 1.80420 46.50 2 100.0749 8.6788 1.49700 81.61 3 -580.6182 0.3000 4 102.6378 7.9544 1.49700 81.61 5 -1349.2717 Variable 6 250.0000 1.7000 1.63854 55.45 7 38.5099 5.5546 8 -113.5820 1.3000 1.48749 70.44 9 50.7413 3.1884 1.80610 33.27 10 154.1035 Variable 11 83.8353 3.7221 1.63854 55.45 12 -166.1224 1.8375 13 -44.9779 1.3078 1.83481 42.72 14 232.9722 0.2000 15 59.8407 3.9720 1.84666 23.78 16 -354.6810 2.0000 17 (Aperture Stop) ∞ Variable 18 204.1703 1.3000 1.84666 23.78 19 34.6621 6.4963 1.64769 33.84 20 -98.0309 Variable 21 -317.9391 1.3000 1.84666 23.78 22 36.5447 10.8707 1.63854 55.45 23 -25.8401 1.3000 1.80610 33.27 24 -60.5610 0.2000 25 59.5597 4.6131 1.84666 23.78 26 -533.7403 Variable 27 63.6049 1.2000 1.72000 50.34 28 31.8746 3.6172 29 -235.1399 4.0756 1.78472 25.72 30 -37.4552 1.2000 1.80420 46.50 31 237.3893 Variable 32 (Image Plane) ∞ (Various Data) Zoom Ratio 5.488 WIDE MIDDLE TELE f 70.7231 167.0889 388.1393 FNo. 4.05 5.32 5.87 2ω° 33.848 14.468 6.256 Image Height 21.633 21.633 21.633 Full Lens Length 235.174 278.686 320.220 Variable Interval (Focused at the Infinity-Point) d0 ∞ ∞ ∞ d5 2.5000 49.1230 100.5475 d10 51.3031 21.4622 2.0000 d17 18.8055 10.7526 0.9318 d20 1.4049 7.7484 12.6161 d26 18.9608 15.5224 4.1107 BF 62.0110 93.8890 119.8250 Variable Interval (Focused with 1.6-meter Distance to the Subject) d0 1364.82 1321.31 1279.78 d5 2.5000 49.1230 100.5475 d10 51.3031 21.4622 2.0000 d17 18.8055 10.7526 0.9318 d20 1.4049 7.7484 12.6161 d26 19.8428 18.2832 14.1726 BF 61.1290 91.1280 109.7630 (Data on the Zoom Lens Groups) Group Initial Surface f 1 1 186.6475 2 6 -56.9423 3 11 164.6565 4 18 197.9375 5 21 63.1960 6 27 -53.3835 (Values of the Primary Term in the Formulae) Formula (1) 4.73 Formula (2) 46.50 Formula (3) 23.78

**Embodiment**6

**TABLE**-US-00006

**[0103]**f = 72.0562~388.0927 FNo. = 4.11~5.79 (Data on the Surfaces) r d nd vd 0 (Objective Surface) ∞ ∞ 1 322.4599 2.3000 1.80420 46.50 2 91.0103 9.2192 1.49700 81.61 3 -569.0188 0.3000 4 93.4615 8.6041 1.49700 81.61 5 -1008.031 Variable 6 198.4362 1.7000 1.61800 63.39 7 37.6062 8.4309 8 -70.0748 1.3000 1.48749 70.44 9 52.5435 3.2219 1.80610 33.27 10 190.1372 Variable 11 73.6767 3.8864 1.61800 63.39 12 -176.6382 2.1013 13 -42.3439 1.7886 1.83481 42.72 14 196.0411 0.2000 15 69.6402 4.5000 1.84666 23.78 16 -174.3032 2.0000 17 (Aperture Stop) ∞ Variable 18 -5925.0049 1.3000 1.84666 23.78 19 39.5747 7.5004 1.59551 39.22 20 -56.4431 Variable 21 174.5724 1.3000 1.84666 23.78 22 47.3325 8.8734 1.61800 63.39 23 -33.6393 1.3000 1.80610 33.27 24 -147.2232 0.2000 25 81.2810 4.0000 1.84666 23.78 26 -208.9178 Variable 27 145.4029 1.2000 1.61800 63.39 28 41.1585 2.8866 29 -934.5306 4.0410 1.74077 27.76 30 -46.3879 1.2000 1.80420 46.50 31 390.3333 Variable 32 (Image Plane) ∞ (Various Data) Zoom Ratio 5.386 WIDE MIDDLE TELE f 72.0562 167.0619 388.0927 FNo. 4.11 5.18 5.79 2ω° 33.610 14.530 6.268 Image Height 21.633 21.633 21.633 Full Lens Length 240.127 284.816 330.165 Variable Interval (Focused at the Infinity-Point) d0 ∞ ∞ ∞ d5 2.5000 47.2958 92.4906 d10 46.1612 18.4655 2.0000 d17 17.1294 10.9430 6.3591 d20 2.8519 11.5811 13.0322 d26 21.9339 18.2572 2.5000 BF 66.1963 94.9192 130.4291 Variable Interval (Focused with 1.6-meter Distance to the Subject) d0 1359.87 1315.18 1269.84 d5 2.5000 47.2958 92.4906 d10 46.1612 18.4655 2.0000 d17 17.1294 10.9430 6.3591 d20 1.9768 8.4604 1.9920 d26 22.8090 21.3779 13.5402 BF 66.1963 94.9192 130.4291 (Data on the Zoom Lens Groups) Group Initial Surface f 1 1 172.0317 2 6 -52.5524 3 11 189.0866 4 18 228.1124 5 21 69.8075 6 27 -65.9427 (Values of the Primary Term in the Formulae) Formula (1) 4.04 Formula (2) 46.50 Formula (3) 23.78

**Detailed Description of Embodiment**1 to 4

**[0104]**The preferred embodiments disclosed as Embodiment 1 to Embodiment 4 have five groups of lens pieces, namely, the first or foremost lens group of positive refractivity, the second lens group of negative refractivity, the third lens group of positive refractivity, the fourth lens group of positive refractivity, and the fifth lens group of negative refractivity, and in order to alter the variable power from the wide-angle view to the telephoto view, at least the first, the third, the fourth, the fifth of the lens groups are moved toward the photoshot subject so that the first and the second of the lens groups to move to have an increased interval therebetween, the second and the third of them to move to have the decreased interval therebetween, the third and the fourth of them to move to have the reduced interval therebetween, and the fourth and the fifth of them to move to have the reduced interval therebetween.

**[0105]**The aperture stop is disposed in position closer to either the image plane or the photoshot subject in the third lens group, and it is displaced along with the lens pieces of the third lens group.

**[0106]**In order to focus from the long distance zooming to the short distance zooming, there are two ways, namely, the rear-focusing (as set forth in Embodiment 1 to Embodiment 3) where the rearmost lens group closest to the image plane (the fifth in this case) is displaced, and the inner-focusing (as set forth in Embodiment 4) where the rearmost lens group of positive refractivity and closest to the image plane is displaced. Either of the inner- and rear-focusing systems can attain more brisk and quick focusing, compared with the front lens focusing, and employing these focusing systems enables the zoom lenses to be downsized without degradation in ensuring a sufficient amount of spherical light. A displacement of the lens groups relative to the identical photoshot subject becomes greater as the focal length increases.

**[0107]**The lens group(s) (the fourth in this case) of positive refractivity among the third lens group and all the succeeding lens groups has two or more negative lens pieces, and at least one of the negative lens pieces has its one major surface connected to another lens piece to form the composite lens of which junction serves to diverge beams incident thereon. In general, the zoom lens is prone to underdevelop variations in spherical aberration unless it is specifically modified in structure to reduce the displacement of the lens groups used for the focusing. The zoom lens according to the present invention also has the first to the third of the lens groups adapted to underdevelop the varied spherical aberration. With the fourth lens group of positive refractivity designed to have two negative lens pieces at least one of which is the composite lens having the beam diverging junction, the fourth lens group causes the varied spherical aberration to be overdone and prevalent, thereby countervailing the varied spherical aberration, as a whole, in the comprehensive lens optics, especially at the telephoto end.

**[0108]**The overdone variations in the spherical aberration by the fourth lens group is by virtue of excessively developing the spherical aberration as a result of inducing the beams to be incident upon the fourth lens group at a higher point during the short distance zooming relative to the long distance zooming. In this way, the lens groups dedicated to the focusing does not have its performance design limited to the rear-focusing but have a choice of the inner-focusing by the rearmost lens group of positive refractivity and closest to the image plane (as in Embodiment 4).

**[0109]**However, any of the focusing lens groups other than the one including two negative lens pieces at least one of which is the composite lens serving to diverge beams at its junction with the remaining component lens piece(s) cannot induce the incident beams thereon to enter at the higher point during the short distance focusing, and therefore, the varied spherical aberration cannot be reduced.

**[0110]**To satisfy requirements of the composite lenses, it is desirable that the negative lens component should be made of glass showing a high refractive index while the positive lens component is made of glass showing a low refractive index, so as to enhance a radius of curvature at the junction between them. In the present invention, however, the requirements are defined to meet those given in the formula (1).

**[0111]**The best mode for the focusing with the reduced variations in the spherical aberration desirably includes a triplicated composite lens of negative-positive-negative power configuration of three lens pieces in at least one lens group (in this case, the fourth) of positive refractivity among the third and the remaining succeeding ones. Although a single lens is also capable of inducing the spherical aberration to be overdone, such a mono-lens configuration is liable to cause high-order aberration as well as enhanced sensitivity, which resultantly obstructs the way of enhancing the radius of curvature.

**Detailed Description of Embodiment**5 and Embodiment 6

**[0112]**The preferred embodiments disclosed as Embodiment 5 and Embodiment 6 have six groups of lens pieces, namely, the first or foremost lens group of positive refractivity, the second lens group of negative refractivity, the third lens group of positive refractivity, the fourth lens group of positive refractivity, the fifth lens group of positive refractivity, and the six lens group of negative refractivity, and in order to alter the variable power from the wide-angle view to the telephoto view, at least the first, the third, the fourth, the fifth and the sixth of the lens groups are moved toward the photoshot subject so that the first and the second of the lens groups to move to have an increased interval therebetween, the second and the third of them to move to have the decreased interval therebetween, the third and the fourth of them to move to have the reduced interval therebetween, and the fourth and the fifth of them to move to have the increased interval therebetween, and the fifth and the sixth of them to move to have the reduced interval therebetween. The second lens group may keep static during altering the power ratio.

**[0113]**The aperture stop is disposed in position closer to either the image plane or the photoshot subject in the third lens group, and it is displaced along with the lens pieces of the third lens group.

**[0114]**In order to focus from the long distance zooming to the short distance zooming, there are two ways, namely, the rear-focusing (as set forth in Embodiment 5) where the rearmost lens group closest to the image plane (the sixth in this case) is displaced, and the inner-focusing (as set forth in Embodiment 6) where the rearmost lens group of positive refractivity and closest to the image plane is displaced.

**[0115]**During altering the variable power from the wide-angle view to the telephoto view, the fourth lens group and the fifth lens group are displaced to come farther from each other. In this way, the zoom lens is satisfactorily compensated for astigmatism.

**[0116]**The fifth lens group includes two or more negative lens pieces one of which is a component of the composite lens that has its junction serving to diverge beams, thereby inducing the spherical aberration to be overdone and prevalent in the fifth lens group during the focusing so as to countervail the varied spherical aberration in the comprehensive lens optics, especially, at the telephoto end.

**[0117]**Moreover, the fourth lens group includes the additional composite lens that has a junction between the component lens pieces serving to diverge beams incident thereon, thereby functioning as an auxiliary effect of inducing the overdone spherical aberration. In this way, the fourth lens group in addition to the fifth cooperatively work to reduce the varied spherical aberration during the focusing.

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