Projection zoom lens and image projection apparatus

Information

  • Patent Grant
  • 9983392
  • Patent Number
    9,983,392
  • Date Filed
    Monday, March 6, 2017
    7 years ago
  • Date Issued
    Tuesday, May 29, 2018
    6 years ago
Abstract
A projection zoom lens includes, sequentially from an enlargement conjugate side: a first lens group having negative refractive power; a second lens group having positive or negative refractive power; a third lens group having positive refractive power; a fourth lens group having negative refractive power; a fifth lens group having positive refractive power; and a sixth lens group having positive refractive power, and configured to perform a magnification variation by changing the interval between the respective lens groups, wherein the fourth lens group includes at least one positive lens and at least one negative lens, at least one of the positive lenses included in the fourth lens group satisfies the following Conditional Expressions: 0.71≤θg_Fp+0.004×νdp≤0.73 and 15≤νdp≤25, and the back focus of the entire projection zoom lenses satisfies the following Conditional Expression 1.0≤BF/Fw≤2.7.
Description

The entire disclosure of Japanese Patent Application No. 2016-059913 filed on Mar. 24, 2016 including description, claims, drawings, and abstract are incorporated herein by reference in its entirety.


BACKGROUND OF THE INVENTION

Field of the Invention


The present invention relates to a projection zoom lens and an image projection apparatus, and more particularly, to a projection zoom lens which is suitable for enlarging and projecting a display image of an image display element such as a digital micromirror device or a liquid crystal display (LCD) onto a screen, and an image projection apparatus including the same.


Description of the Related Art


In a three-panel type projector, an axial chromatic aberration can be suppressed by adjusting the position of the image display element. In contrast, in a single-panel type projector, because the position of the image display element is defined, it is necessary to correct the axial chromatic aberration in the projection zoom lens. In addition, with regard to aberrations other than axial chromatic aberration, it is required to satisfactorily correct aberrations with miniaturization of the image display element. Therefore, in order to achieve a high performance, a projection zoom lens using a glass material with a high refractive index for a positive lens in the vicinity of an aperture is disclosed in JP 2008-52174 A.


However, in the projection zoom lens described in JP 2008-52174 A, it is difficult to cope with the high definition of the image display element mounted on the recent image projection apparatus. That is, since the required performance of the axial chromatic aberration becomes higher, it is difficult to achieve a sufficient axial chromatic aberration correction in the technique described in JP 2008-52174 A.


SUMMARY OF THE INVENTION

The present invention has been made in view of such a situation, and an object thereof is to provide a projection zoom lens having a high axial chromatic aberration capability capable of coping with a high-definition image display element, and an image projection apparatus including the same.


To achieve the abovementioned object, according to an aspect, a projection zoom lens reflecting one aspect of the present invention comprises, sequentially from an enlargement conjugate side: a first lens group having negative refractive power; a second lens group having positive or negative refractive power; a third lens group having positive refractive power; a fourth lens group having negative refractive power; a fifth lens group having positive refractive power; and a sixth lens group having positive refractive power, and configured to perform a magnification variation by changing the interval between the respective lens groups, wherein the fourth lens group comprises at least one positive lens and at least one negative lens, at least one of the positive lenses included in the fourth lens group satisfies the following Conditional Expressions (1) and (2), and the back focus of the entire projection zoom lenses satisfies the following Conditional Expression (3):

0.71≤θg_Fp+0.004×νdp≤0.73  (1)
15≤νdp≤25  (2)
1.0≤BF/Fw≤2.7  (3)


where


θg_Fp: partial dispersion ratio of lens material,


θg_Fp=(Ng−NF)/(NF−NC)


Ng: refractive index of g line,


NF: refractive index of F line,


NC: refractive index of C line,


νdp: Abbe number of the lens material,


BF: air conversion back focus from the last lens surface to the image surface, and


Fw: focal length of the entire projection zoom lenses at the wide-angle end.


According to the projection zoom lens of Item. 2, in the invention of Item. 1, an aperture stop is preferably disposed between a surface of the third lens group closest to a reduction conjugate side and a surface of the fifth lens group closest to an enlargement conjugate side.


According to the projection zoom lens of Item. 3, in the invention of Item. 1 or 2, the fourth lens group preferably comprises two negative lenses and one positive lens sequentially from the enlargement conjugate side.


According to the projection zoom lens of Item. 4, in the invention of Item. 1 or 2, the fourth lens group preferably comprises one negative lens and one positive lens sequentially from the enlargement conjugate side.


According to the projection zoom lens of Item. 5, in the invention of any one of Items. 1 to 4, the positive lens, which satisfies Conditional Expressions (1) and (2), preferably satisfies the following Conditional Expression (4):

0.85≤|Φp/Φ4|≤1.45  (4)


where


Φp: refractive power of a positive lens, and


Φ4: refractive power of the fourth lens group.


According to the projection zoom lens of Item. 6, in the invention of any one of Items. 1 to 5, the following Conditional Expression (5) is preferably satisfied:

0.18≤|Φ4/Φw|≤0.24  (5)


where


Φ4: refractive power of the fourth lens group, and


Φw: refractive power of the entire projection zoom lens at the wide-angle end.


According to the projection zoom lens of Item. 7, in the invention of any one of Items. 1 to 6, at least one of the negative lenses included in the fourth lens group preferably satisfies the following Conditional Expressions (6) and (7):

0.645≤θg_Fn+0.001682×νdn≤0.695  (6)
60≤νdn≤100  (7)


where


θg_Fn: partial dispersion ratio of the lens material,


θg_Fn=(Ng−NF)/(NF−NC)


Ng: refractive index of g line,


NF: refractive index of F line,


NC: refractive index of C line, and


νdn: Abbe number of the lens material.


To achieve the abovementioned object, according to an aspect, an image projection apparatus reflecting one aspect of the present invention comprises: an image forming element configured to form an image light; and the projection zoom lens of any one of Items. 1 to 7 configured to enlarge and project the image light.





BRIEF DESCRIPTION OF THE DRAWINGS

The above and other objects, advantages and features of the present invention will become more fully understood from the detailed description given hereinbelow and the appended drawings which are given by way of illustration only, and thus are not intended as a definition of the limits of the present invention, and wherein:



FIG. 1 is a lens configuration diagram of a first embodiment (Example 1);



FIG. 2 is a lens configuration diagram of a second embodiment (Example 2);



FIG. 3 is a lens configuration diagram of a third embodiment (Example 3);



FIG. 4 is a lens configuration diagram of a fourth embodiment (Example 4);



FIGS. 5A to 5D are aberration diagrams at a telephoto end in Example 1;



FIGS. 6A to 6D are aberration diagrams at an intermediate position of Example 1;



FIGS. 7A to 7D are aberration diagrams at a wide-angle end of Example 1;



FIGS. 8A to 8D are aberration diagrams at a telephoto end in Example 2;



FIGS. 9A to 9D are aberration diagrams at an intermediate position of Example 2;



FIGS. 10A to 10D are aberration diagrams at a wide-angle end of Example 2;



FIGS. 11A to 11D are aberration diagrams at a telephoto end of Example 3;



FIGS. 12A to 12D are aberration diagrams at an intermediate position of Example 3;



FIGS. 13A to 13D are aberration diagrams at a wide-angle end of Example 3;



FIGS. 14A to 14D are aberration diagrams at a telephoto end in Example 4;



FIGS. 15A to 15D are aberration diagrams at an intermediate position of Example 4;



FIGS. 16A to 16D are aberration diagrams at a wide-angle end of Example 4; and



FIG. 17 is a schematic diagram illustrating an embodiment of an image projection apparatus.





DESCRIPTION OF THE PREFERRED EMBODIMENTS

Hereinafter, a projection zoom lens, an image projection apparatus and the like according to an embodiment of the present invention will be described with reference to the drawings. However, the scope of the invention is not limited to the illustrated examples. The projection zoom lens according to the embodiment of the present invention includes, sequentially from an enlargement conjugate side, a first lens group having negative refractive power, a second lens group having positive or negative refractive power, a third lens group having positive refractive power, a fourth lens group having negative refractive power, a fifth lens group having positive refractive power, and a sixth lens group having positive refractive power, and is configured to perform magnification variation by changing the interval between the respective lens groups (Refractive power: corresponding to the reciprocal of the focal length). Further, although the expression such as “enlargement conjugate side” or “reduction conjugate side” is used as the direction of the projection zoom lens, but the “enlargement conjugate side” is a direction in which the optical image is enlarged and projected onto a screen or the like, and its opposite direction is the “reduction conjugate side”, that is, a direction in which the image display element (for example, a digital micromirror device) for displaying the original optical image is disposed. Therefore, in the projection zoom lens, a lens surface closest to the reduction conjugate side is a final surface of the lens, and a lens surface closest to the enlargement conjugate side is a foremost surface of the lens.


Further, in the projection zoom lens, the fourth lens group includes at least one positive lens and at least one negative lens. At least one of the positive lenses included in the fourth lens group satisfies the following Conditional Expressions (1) and (2), and a back focus of the entire projection zoom lenses satisfies the following Conditional Expression (3):

0.71≤θg_Fp+0.004×νdp≤0.73  (1)
15≤νdp≤25  (2)
1.0≤BF/Fw≤2.7  (3)


where


θg_Fp: partial dispersion ratio of the lens material,


θg_Fp=(Ng−NF)/(NF−NC)


Ng: refractive index of g line,


NF: refractive index of F line,


NC: refractive index of C line,


νdp: Abbe number of the lens material,


BF: air conversion back focus from the last lens surface to the image surface, and


Fw: focal length of the entire projection zoom lenses at the wide-angle end.


For example, when configuring a single-panel type projector, the back focus of the entire projection zoom lenses needs to satisfy the value of the extent that is set in Conditional Expression (3). Further, in the six-unit zoom configuration of the negative, positive, positive, negative, positive and positive lenses or negative, negative, positive, negative, positive and positive lenses, as long as one or more positive lenses are disposed in the fourth lens group, and a glass material having anomalous dispersibility as defined in Conditional Expression (1) and Conditional Expression (2) is used as the positive lens, since the positive lens acts in the vicinity of the aperture stop, it is possible to satisfactorily correct the axial chromatic aberration.


When using a glass material that falls below the lower limit of Conditional Expression (1) or exceeds the upper limit of Conditional Expression (2), the axial chromatic aberration of the short wavelength side easily comes out in an over-direction, and the axial chromatic aberration of the long wavelength side easily comes out in an under-direction. Accordingly, there is a need to increase the curvature of the positive lens in order to obtain the same effect, and various aberrations other than axial chromatic aberration, particularly, a spherical aberration, are deteriorated. Since there are few types of glass materials exceeding the upper limit of Conditional Expression (1) or falling below the lower limit of Conditional Expression (2), there are many glass materials which are hard to process or have low transmittance, and the glass materials are not suitable for the projection optical system.


The upper limit of Conditional Expression (3) represents a projection zoom lens of a one-chip type (a single panel type) having a short back focus. Therefore, when exceeding the upper limit of Conditional Expression (3), a projection zoom lens which is not suitable for the one-chip type is obtained. Further, when falling below the lower limit of Conditional Expression (3), the angle tends to be widened, the refractive power of the fourth lens group becomes too strong, and the spherical aberration tends to occur on the negative side.


According to the aforementioned characteristic configuration, because a configuration in which the positive lens with the appropriately set material and the like is used in the fourth lens group having the negative refractive power is provided, it is possible to achieve a projection zoom lens having a high axial chromatic aberration performance capable of coping with the high-definition image display element. As long as the projection zoom lens is used in the image projection apparatus, it is possible to contribute to an enhancement of the performance of the image projection apparatus, an enhancement of function, compactness, and the like. Conditions for achieving such effects in a well-balanced manner and for achieving higher optical performance, miniaturization and the like will be described below.


It is desirable that an aperture stop be disposed between the surface of the third lens group closest to the reduction conjugate side and the surface of the fifth lens group closest to the enlargement conjugate side. That is, the aperture stop is preferably located to be adjacent to the enlargement conjugate side (a front side) of the fourth lens group, is located in the fourth lens group, or is located to be adjacent to the reduction conjugate side (a rear side) of the fourth lens group. In the projection zoom lens of the negative group front type, because the luminous flux becomes narrowest in the vicinity of the aperture stop, if the fourth lens group including the positive lens is located in the vicinity of the aperture stop, an influence on the off-axial various aberrations decreases at the time of correction of the axial chromatic aberration, and the axial chromatic aberration can be efficiently corrected.


It is desirable that the fourth lens group includes two negative lenses and one positive lens sequentially from the enlargement conjugate side. Alternatively, it is desirable that the fourth lens includes one negative lens and one positive lens sequentially from the enlargement conjugate side. Many of the glass materials defined by Conditional Expressions (1) and (2) have a high refractive index, and when using them as a positive lens, the positive refractive power becomes large. Therefore, in order to form the fourth lens group having the negative refractive power as a whole, it is preferable that the positive lens includes only one lens.


It is desirable that the positive lens satisfying Conditional Expressions (1) and (2) satisfies the following Conditional Expression (4):

0.85≤|Φp/Φ4|≤1.45  (4)


where


Φp: refractive power of a positive lens, and


Φ4: refractive power of the fourth lens group.


In order to effectively correct the axial chromatic aberration in the fourth lens group, it is necessary to appropriately set the refractive power of the positive lens. When falling below the lower limit of Conditional Expression (4), the axial chromatic aberration of the short wavelength side easily comes out in the under-direction, and the axial chromatic aberration of the long wavelength side easily comes out in the over-direction. Accordingly, it is difficult to sufficiently obtain the correcting effect of the axial chromatic aberration in the positive lens. When exceeding the upper limit of Conditional Expression (4), the spherical aberration strongly occurs on the over side by the positive lens, and it is difficult to obtain a satisfactory optical performance in the whole optical system. Therefore, if Conditional Expression (4) is satisfied, it is possible to satisfactorily perform the correction of the axial chromatic aberration and the correction of the spherical aberration or the like.


It is desirable to satisfy the following Conditional Expression (5):

0.18≤|Φ4/Φw|≤0.24  (5)


where


Φ4: refractive power of the fourth lens group, and


Φw: refractive power of the entire projection zoom lens at the wide-angle end.


In order to satisfy the predetermined back focus as the whole optical system, it is necessary to appropriately set the refractive power of the fourth lens group. When falling below the lower limit of Conditional Expression (5), the back focus becomes too long, and it is necessary to increase the refractive power of the other negative lens groups. Since the negative lens groups other than the fourth lens group are disposed on the enlargement conjugate side, when increasing the refractive powers of these groups, a distortion aberration occurs in the under direction and the correction becomes difficult. When exceeding the upper limit of Conditional Expression (5), the focal length of the entire optical system becomes too short, and it is necessary to increase the refractive power of the other positive lens groups. As a result, the off-axis various aberrations increase and the correction becomes difficult. In particular, if the refractive power of the fifth lens group becomes too large, a chromatic aberration of magnification of the shorter wavelength side occurs in the under-direction, and the correction of other lens groups becomes difficult. Therefore, if Conditional Expression (5) is satisfied, it is possible to satisfactorily correct the aberration with good balance, while properly maintaining the back focus.


It is desirable that at least one of the negative lenses included in the fourth lens group satisfies the following Conditional Expressions (6) and (7):

0.645≤θg_Fn+0.001682×νdn≤0.695  (6)
60≤νdn≤100  (7)


where


θg_Fn: partial dispersion ratio of the lens material,


θg_Fn=(Ng−NF)/(NF−NC)


Ng: refractive index of g line,


NF: refractive index of F line,


NC: refractive index of C line, and


νdn: Abbe number of the lens material.


In general, the glass has the property of being distributed in the vicinity of a straight line represented by θg_F=0.645+0.001682×νd on the plane in which the Abbe number νd is set on the horizontal axis and the partial dispersion ratio θg_F is set on the vertical axis. A glass material having a partial dispersion ratio θg_F larger than this straight line and having the Abbe number larger than the lower limit of Conditional Expression (7) is referred to as an anomalous dispersion glass. In the fourth lens group disposed in the vicinity of the aperture stop, if an anomalous dispersion glass satisfying Conditional Expressions (6) and (7) is used for the negative lens included therein, the focal point of the short wavelength light moves to the over side, the axial chromatic aberration can be further suppressed.


When a glass material falling below the lower limit of Conditional Expressions (6) and (7) is used, the axial chromatic aberration of the short wavelength side easily comes out in the over-direction, and the axial chromatic aberration of the long wavelength side easily comes out in the under-direction. In addition, it is difficult to manufacture a lens that exceeds the upper limits of Conditional Expressions (6) and (7) with ordinary quartz glass, and it is necessary to use fluorite glass or the like. However, since the fluorite glass is vulnerable to a temperature change, the fluorite glass is not suitable for use in the vicinity of the aperture stop in which the luminous flux diameter decreases and the fluorite glass tends to be high temperature. In addition, since the fluorite glass is inferior in workability and is very expensive, the usage in a projection zoom lens causes deterioration in yield at the time of production or an increase in manufacturing cost. Therefore, the fluorite glass is not suitable for use in the projection zoom lens.


Next, a specific optical configuration of the projection zoom lens will be described with reference to the first to fourth embodiments. FIGS. 1 to 4 are lens configuration diagrams corresponding to each of the projection zoom lenses ZL which are the first to fourth embodiments of the projection zoom lens, and the lens arrangement at the telephoto end (T) and the like are illustrated in the optical cross-section. The moving locus mk (k=1, 2, . . . , 6) in FIGS. 1 to 4 schematically illustrates the movement/fixing state of the k-th lens group Grk in zooming from the telephoto end (T) to the wide-angle end (W). Arrows mF in FIGS. 1 to 4 illustrate the movement directions of the first lens group Gr1 in focusing of the projection distance from a long distance to a short distance. However, the focusing method is not limited thereto.


The projection zoom lens ZL of the first to fourth embodiments (FIGS. 1 to 4) is a zoom lens for the image projection apparatus that includes, sequentially from the enlargement conjugate side, a first lens group Gr1 having negative refractive power, a second lens group Gr2 having positive or negative refractive power, a third lens group Gr3 having a positive refractive power, a fourth lens group Gr4 having a negative refractive power, a fifth lens group Gr5 having a positive refractive power and a sixth lens group Gr6 having a positive refractive power. Zooming is performed by moving the second lens group Gr2, the third lens group Gr3 and the fifth lens group Gr5 along the optical axis AX. That is, the first to fourth embodiments are a projection zoom lens ZL of six group construction having negative, positive, positive, negative, positive and positive refractive power arrangement or negative, negative, positive, negative, positive and positive refractive power arrangement sequentially from the enlargement conjugate side. The first lens group Gr1, the fourth lens group Gr4 and the sixth lens group Gr6 are set as a fixed group, and the second lens group Gr2, the third lens group Gr3 and the fifth lens group Gr5 are set as a moving group. Since the zoom position of the first lens group Gr1 is fixed, it is possible to suppress the change in the total length of the optical system due to magnification variation, and since the number of moving parts decreases, it is possible to simplify the magnification variation mechanism. Further, the zoom position of the prism PR (for example, a total internal reflection (TIR) prism, a color decomposition/composition prism) positioned on the reduction conjugate side of the sixth lens group Gr6 and the cover glass CG of the image display element is also fixed.


Next, an embodiment of an image projection apparatus including the projection zoom lens ZL will be described. FIG. 17 illustrates a schematic configuration example of an image projection apparatus (a single-panel type projector) PJ. The image projection apparatus PJ includes a light source 1, an illumination optical system 2, a reflection mirror 3, a prism PR, an image display element (image forming element) 4, a control unit 5, an actuator 6, a projection zoom lens ZL, and the like. The control unit 5 is a unit that performs the overall control of the image projection apparatus PJ. The image display element 4 is an image modulation element (for example, a digital micromirror device) which modulates light to generate an image, and the cover glass CG is provided on the image display surface IM which displays an image.


Beam emitted from the light source 1 (for example, a white laser light such as a xenon lamp, and a laser light source) is guided to the image display element 4 by the illumination optical system 2, the reflection mirror 3 and the prism PR, and image light is formed in the image display element 4. The prism PR is made up of, for example, a TIR prism (a color decomposition and composition prism or the like), and separates the illumination light and the projection light. The image light formed by the image display element 4 is enlarged and projected toward the screen surface SC by the projection zoom lens ZL. That is, the image displayed on the image display element 4 is enlarged and projected on the screen surface SC by the projection zoom lens ZL.


As described above, the image projection apparatus PJ includes the image display element 4 for displaying an image, the light source 1, the illumination optical system 2 for guiding light from the light source 1 to the image display element 4, and the projection zoom lens ZL for enlarging and projecting the image displayed on the image display element 4 onto the screen surface SC. However, the image projection apparatus to which the projection zoom lens ZL as the projection zoom lens are applicable is not limited thereto. For example, as long as the image display element that displays an image by light emission of the image display surface itself is used, the illumination can be made unnecessary. In that case, the image projection apparatus can be configured without using the light source 1 and the illumination optical system 2.


An actuator 6 which is moved to the enlargement conjugate side or the reduction conjugate side along the optical axis AX is connected to the lens group which moves for zooming and focusing in the projection zoom lens ZL. The control unit 5 for controlling the movement of the moving group is connected to the actuator 6. Further, the lens group may be manually moved, without using the control unit 5 and the actuator 6.


EXAMPLES

Hereinafter, the configuration and the like of the projection zoom lens according to the present invention will be described in more detail with reference to the construction data and the like of the examples. Examples 1 to 4 (EX1 to EX4) listed herein are numerical examples corresponding to the aforementioned first to fourth embodiments, respectively, and the lens configuration diagrams (FIGS. 1 to 4) illustrating the first to fourth embodiments illustrate lens cross-sectional shapes, lens arrangement, and the like of the corresponding Examples 1 to 4, respectively.


In the construction data of each example, as the surface data, the surface number i, a radius of curvature CR (mm), an axial distance Ti (mm), a refractive index nd of the d line (wavelength: 587.56 nm), and an Abbe number νd of the d line are illustrated. Further, symbol ST denotes an aperture stop, symbol IM denotes an image display surface, respectively, and the axial distance Ti with F and Z attached thereto denotes a variable surface distance which changes at the time of focusing and at the time of zooming.


The zoom ratio, the maximum image height (mm), the back focus (BF, mm), the total lens length (mm), the focal length (mm) of the entire system, the half viewing angle (ω, °), the F number and the variable surface distance Ti (mm) which is the group interval are denoted as various data. Regarding data that changes due to zooming, it represents the values at each zoom position T (TELE), M (MIDDLE), and W (WIDE). The back focus BF is expressed as the distance from the last lens surface to the image display surface IM by the air conversion length, and the total lens length is a value obtained by adding the back focus BF to the distance from the foremost surface (i=1) of the projection zoom lens ZL to the last surface of the projection zoom lens ZL. In addition, the maximum image height corresponds to half of the diagonal length of the image display surface IM.


The movement amount (mm) of the zoom group, the movement amount (mm) of the focus group, and the refractive power (mm−1) of the zoom group, the focus group and the like are denoted as the lens group data. The movement amount of the zoom group is indicated by the movement amount from the telephoto end T to each of the zoom positions T, M and W, and the movement amount of the focus group is indicated by the movement amount from the infinity focusing state at each of the zoom positions T, M and W to each projection distance (indicated in parentheses after the focus group). The projection distance is the distance from the screen surface SC to the apex of the foremost surface (i=1) of the projection zoom lens ZL.


Tables 1 to 4 indicate the partial dispersion ratios θg_F (θg_F=(Ng−NF)/(NF−NC)), the focal length (mm) and the refractive power (mm−1) of the j-th lens Lj (j=1, 2, 3, . . . ) for each example. Further, Table 5 indicates values corresponding to Conditional Expressions of the respective examples.



FIGS. 5A to 16D are aberration diagrams corresponding to each of Examples 1 to 4 (EX1 to EX4). FIGS. 5A to 5D, 8A to 8D, 11A to 11D, and 14A to 14D illustrate various aberrations at the telephoto end (T). FIGS. 6A to 6D, 9A to 9D, 12A to 12D, and 15A to 15D illustrate various aberrations at the intermediate position (M, intermediate focal length state). FIGS. 7A to 7D, 10A to 10D, 13A to 13D, and 16A to 16D illustrate various aberrations at the wide-angle end (W). In each of FIGS. 5A to 16D, FIGS. 5A, 6A, 7A, 8A, 9A, 10A, 11A, 12A, 13A, 14A, 15A, and 16A illustrate the spherical aberration (mm), FIGS. 5B, 6B, 7B, 8B, 9B, 10B, 11B, 12B, 13B, 14B, 15B and 16B illustrate the astigmatism (mm), FIGS. 5C, 6C, 7C, 8C, 9C, 10C, 11C, 12C, 13C, 14C, 15C and 16C illustrate the distortion aberration (%), and FIGS. 5D, 6D, 7D, 8D, 9D, 10D, 11D, 12D, 13D, 14D, 15D and 16D illustrate the chromatic aberration of magnification (mm).


In the spherical aberration diagrams of FIGS. 5A, 6A, 7A, 8A, 9A, 10A, 11A, 12A, 13A, 14A, 15A and 16A, the vertical axis represents the value (that is, the relative pupil height) obtained by normalizing the incident height of light beams to the pupil by the maximum height thereof, and the horizontal axis represents the amount of spherical aberration with respect to light beams having wavelengths of 460 nm, 546 nm, and 620 nm as the amount of deviation (mm) in the direction of the optical axis AX from the paraxial image surface. The correspondence between the wavelength and the line type in the spherical aberration diagram is as follows:


Spherical aberration for wavelength of 460 nm: long dashed line


Spherical aberration for wavelength of 546 nm: solid line


Spherical aberration for wavelength of 620 nm: short dashed line


In the astigmatism diagrams of FIGS. 5B, 6B, 7B, 8B, 9B, 10B, 11B, 12B, 13B, 14B, 15B and 16B, the vertical axis represents the paraxial image height (mm), and the horizontal axis represents the sagittal (S) image surface and the meridional (M) image surface for light beams having the wavelengths of 460 nm, 546 nm and 620 nm as the amount of deviation (mm) in the direction of the optical axis AX from the paraxial image surface. The correspondence between the wavelength and the line type in the astigmatism diagram is as follows:


S image surface for wavelength of 460 nm: one dotted line


M image surface for wavelength of 460 nm: dotted line


S image surface for wavelength of 546 nm: long dashed line


M image surface for wavelength of 546 nm: solid line


S image surface for wavelength of 620 nm: two-dotted dashed line


M image surface for wavelength 620 nm: short dashed line


In the distortion aberration diagrams of FIGS. 5C, 6C, 7C, 8C, 9C, 10C, 11C, 12C, 13C, 14C, 15C and 16C, the vertical axis represents the paraxial image height (mm), and the horizontal axis represents the distortion (%) with respect to the light beam having a wavelength of 546 nm.


In the diagrams of chromatic aberration of magnification of FIGS. 5D, 6D, 7D, 8D, 9D, 10D, 11D, 12D, 13D, 14D, 15D and 16D, the vertical axis represents the paraxial image height (mm), and the horizontal axis represents the chromatic aberration of magnification (mm) (Blue-Green) corresponding to the difference between the light beam of the wavelength of 460 nm and the light beam of the wavelength of 546 nm, and the chromatic aberration of magnification (mm) (Red-Green) corresponding to the difference between the light beam of the wavelength of 620 nm and the light beam of the wavelength of 546 nm. The correspondence between the wavelength and the line type in the diagram of chromatic aberration of magnification is as follows:


Chromatic aberration of magnification (Blue-Green): solid line


Chromatic aberration of magnification (Red-Green): dashed line


Examples 1 to 4 are a six group zoom configuration of negative, positive, positive, negative, positive and positive lenses, or a six group zoom configuration of negative, negative, positive, negative, positive and positive lenses. The fourth lens group Gr4 and the sixth lens group Gr6 are fixed to the reduction conjugate side image surface IM. The optical member disposed on the lens back of the reduction conjugate side from the sixth lens group Gr6 is a prism PR on both planes or a cover glass CG of the image display element 4, all of which have the following configurations:


Prism PR: Ti=25.00 mm, nd=1.52, νd=64.20


Air interval: Ti=3.00 mm


Cover glass CG: Ti=1.10 mm, nd=1.49, νd=70.44


Air interval: Ti=0.70 mm


Image Display Element 4


In Examples 1 to 4, the exit pupil distance is 1000 mm or more, and is substantially telecentric. The first lens group Gr1 is fixed at the time of magnification variation (arrows m1 in FIGS. 1 to 4), and a part or the whole thereof moves only for focusing at the time of change of the projection distance. That is, focusing from the long distance side to the short distance side with respect to the screen surface SC is performed, by moving the first lens group Gr1 or a partial group thereof toward the enlargement conjugate side (arrows mF in FIGS. 1 to 4). At the time of magnification variation from the telephoto end (T) to the wide-angle end (W), the third lens group Gr3 and the fifth lens group Gr5 move toward the reduction conjugate side from the enlargement conjugate side, and the second lens group Gr2 moves in a locus which draws an arc that is convex toward the enlargement conjugate side or the reduction conjugate side (arrows m2, m3 and m5 in FIGS. 1 to 4), (when the movement accompanying the magnification variation is expanded). The aperture stop ST is disposed between the fourth lens group Gr4 and the fifth lens group Gr5, and is fixed at the zoom position with respect to the reduction conjugate side image surface IM, together with the fourth lens group Gr4.


Example 1 has a six group zoom configuration of negative, positive, positive, negative, positive and positive lenses including a total of 18 lenses (a first lens L1 to an eighteenth lens L18) in which the first A lens group Gr1A is four positive, negative, negative and negative lenses, the first B lens group Gr1B is one positive lens, the second lens group Gr2 is two negative and positive lenses, the third lens group Gr3 is one positive lens, the fourth lens group Gr4 is three negative, negative and positive lenses, the fifth lens group Gr5 is six positive, negative, positive, positive, negative and positive lenses, and the sixth lens group Gr6 is one positive lens. The planes up to the thirty-seventh plane are the lens units of the projection zoom lens ZL, and the planes subsequent to the thirty-eighth plane are the prism PR or the cover glass CG of the image display element 4. The first lens group Gr1 includes a first A lens group Gr1A and a first B lens group Gr1B. By moving the first A lens group Gr1A to the enlargement conjugate side, focusing from the infinity to the proximity projection distance is performed. At the time of focusing, the position of the first B lens group Gr1B is fixed with respect to the reduction conjugate side image surface IM.


In Example 1, the air conversion distance of the back focus is 39.92 mm, and BF/Fw=1.777. Accordingly, Conditional Expression (2) is satisfied. The positive lens included in the fourth lens group Gr4 is only the eleventh lens L11, and each of the Abbe number and the partial dispersion ratio is as follows:

νdp=22.76
θg_Fp=0.629
θg_Fp+0.004×νdp=0.720


Thus, Conditional Expressions (1) and (2) are satisfied.


In Example 1, each of the refractive power of the eleventh lens L11 and the refractive power of the fourth lens group Gr4 is as follows:

Φp=0.012
Φ4=−0.009
p/Φ4|=1.337
|Φ4/Φw|=0.210


Thus, Conditional Expressions (4) and (5) are satisfied.


In Example 1, each of the Abbe number and the partial dispersion ratio of the ninth lens L9 among the negative lenses included in the fourth lens group Gr4 is as follows:

νdn=70.44
θg_Fn=0.531
θg_Fn+0.001682×νdn=0.649


Thus, Conditional Expressions (6) and (7) are satisfied.


In Example 1, each of the Abbe number and the partial dispersion ratio of the tenth lens L10 among the negative lenses included in the fourth lens group Gr4 is as follows:

νdn=52.15
θg_Fn=0.559
θg_Fn+0.001682×νdn=0.647


Thus, Conditional Expression (6) is satisfied, but Conditional Expression (7) is not satisfied.


Example 2 has a six group zoom configuration of negative, positive, positive, negative, positive and positive lenses including a total of 18 lenses (a first lens L1 to an eighteenth lens L18) in which the first A lens group Gr1A is four positive, negative, negative and negative lenses, the first B lens group Gr1B is one positive lens, the second lens groups Gr2 is two negative and positive lenses, the third lens group Gr3 is one positive lens, the fourth lens group Gr4 is three negative, negative and positive lenses, the fifth lens group Gr5 is six positive, negative, positive, positive, negative and positive lenses, and the sixth lens group Gr6 is one positive lens. The planes up to the thirty-seventh plane are the lens units of the projection zoom lens ZL, and the planes subsequent to the thirty-eighth plane are the prism PR or the cover glass CG of the image display element 4. The first lens group Gr1 includes a first A lens group Gr1A and a first B lens group Gr1B. By moving the first A lens group Gr1A to the enlargement conjugate side, focusing from the infinity to the proximity projection distance is performed. At the time of focusing, the position of the first B lens group Gr1B is fixed with respect to the reduction conjugate side image surface IM.


In Example 2, the air conversion distance of the back focus is 39.92 mm, and BF/Fw=1.088. Accordingly, Conditional Expression (2) is satisfied. The positive lens included in the fourth lens group Gr4 is only the eleventh lens L11, and each of the Abbe number and the partial dispersion ratio is as follows:

νdp=22.76
θg_Fp=0.629
θg_Fp+0.004×νdp=0.720


Thus, Conditional Expressions (1) and (2) are satisfied.


In Example 2, each of the refractive power of the eleventh lens L11 and the refractive power of the fourth lens group Gr4 is as follows:

Φp=0.012
Φ4=−0.014
p/Φ4|=0.856
|Φ4/Φw|=0.500


Thus, Conditional Expressions (4) and (5) are satisfied.


In Example 2, the negative lenses included in the fourth lens group Gr4 are the ninth lens L9 and the tenth lens L10. The ninth lens L9 and the tenth lens L10 are made of the same glass material, and each of the Abbe number and the partial dispersion ratio is as follows:

νdn=64.20
θg_Fn=0.534
θg_Fn+0.001682×νdn=0.642


Thus, Conditional Expression (7) is satisfied, but Conditional Expression (6) is not satisfied.


Example 3 has a six group zoom configuration of negative, negative, positive, negative, positive, and positive lenses including a total of 20 lenses (a first lens L1 to a twentieth lens L20) in which the first A lens group Gr1A is three negative, negative and positive lenses, the first B lens group Gr1B is four negative, negative, positive and negative lenses, the second lens groups Gr2 is one negative lens, the third lens group Gr3 is two positive and positive lenses, the fourth lens group Gr4 is three negative, negative and positive lenses, the fifth lens group Gr5 is six positive, negative, positive, positive, negative and positive lenses, and the sixth lens group Gr6 is one positive lens. The planes up to the thirty-ninth plane are the lens units of the projection zoom lens ZL, and the planes subsequent to the fortieth plane are the prism PR or the cover glass CG of the image display element 4. The first lens group Gr1 includes a first A lens group Gr1A and a first B lens group Gr1B. By moving the first B lens group Gr1B to the enlargement conjugate side, focusing from the infinity to the proximity projection distance is performed. At the time of focusing, the position of the first A lens group Gr1A is fixed with respect to the reduction conjugate side image surface IM.


In Example 3, the air conversion distance of the back focus is 39.92 mm, and BF/Fw=2.611. Accordingly, Conditional Expression (2) is satisfied. The positive lens included in the fourth lens group Gr4 is only the thirteenth lens L13, and each of the Abbe number and the partial dispersion ratio is as follows:

νdp=22.76
θg_Fp=0.629
θg_Fp+0.004×νdp=0.720


Thus, Conditional Expressions (1) and (2) are satisfied.


In Example 3, each of the refractive power of the thirteenth lens L13 and the refractive power of the fourth lens group Gr4 is as follows:

Φp=0.017
Φ4=−0.015
p/Φ4|=1.101
|Φ4/Φw|=0.236


Thus, Conditional Expressions (4) and (5) are satisfied.


In Example 3, each of the Abbe number and the partial dispersion ratio of the eleventh lens L11 among the negative lenses included in the fourth lens group Gr4 is as follows:

νdn=81.61
θg_Fn=0.539
θg_Fn+0.001682×νdn=0.676


Thus, Conditional Expressions (6) and (7) are satisfied.


In the third embodiment, each of the Abbe number and the partial dispersion ratio of the twelfth lens L12 among the negative lenses included in the fourth lens group Gr4 is as follows:

νdn=70.44
θg_Fn=0.531
θg_Fn+0.001682×νdn=0.649


Thus, Conditional Expressions (6) and (7) are satisfied.


Example 4 has a six group zoom configuration of negative, positive, positive, negative, positive and positive lenses including a total of 16 lenses (a first lens L1 to a sixteenth lens L16) in which the first lens group Gr1 is four positive, negative, negative and negative lenses, the second lens groups Gr2 is two negative and positive lenses, the third lens group Gr3 is one positive lens, the fourth lens group Gr4 is two negative and positive lenses, the fifth lens group Gr5 is six positive, negative, positive, positive, negative and positive lenses, and the sixth lens group Gr6 is one positive lens. The planes up to the thirty-third plane are the lens units of the projection zoom lens ZL, and the planes subsequent to the thirty-fourth plane are the prism PR or the cover glass CG of the image display element 4. By moving the first lens group Gr1 to the enlargement conjugate side, focusing from the infinity to the proximity projection distance is performed.


In Example 4, the air conversion distance of the back focus is 38.89 mm, and BF/Fw=1.918. Accordingly, Conditional Expression (2) is satisfied. The positive lens included in the fourth lens group Gr4 is only the ninth lens L9, and each of the Abbe number and the partial dispersion ratio is as follows:

νdp=22.76
θg_Fp=0.629
θg_Fp+0.004×νdp=0.720


Thus, Conditional Expressions (1) and (2) are satisfied.


In Example 4, each of the refractive power of the ninth lens L9 and the refractive power of the fourth lens group Gr4 is as follows:

Φp=0.013
Φ4=−0.009
p/Φ4|=1.415
|Φ4/Φw|=0.188


Thus, Conditional Expressions (4) and (5) are satisfied.


In Example 4, the negative lens included in the fourth lens group Gr4 is only the eighth lens L8, and each of the Abbe number and the partial dispersion ratio is as follows:

νdn=60.69
θg_Fn=0.541
θg_Fn+0.001682×νdn=0.643


Thus, Conditional Expression (7) is satisfied, but Conditional Expression (6) is not satisfied.


Further, when the projection zoom lens ZL of each example is used for an image projection apparatus (for example, a liquid crystal projector) PJ, the screen surface (projected surface) SC is originally an image surface and the image display surface IM (for example, the liquid crystal panel surface) is an object surface. However, in each of the examples, a reduction system is provided in terms of optical design, and the optical performance is evaluated on the image display surface (reduction conjugate side image surface) IM, while regarding the screen surface SC (FIG. 17) as the object surface. As it is understood from the obtained optical performance, the projection zoom lens ZL of each embodiment is suitably usable not only as a projection lens for an image projection apparatus, but also as an imaging lens for an imaging apparatus (for example, a video camera, and a digital camera).


First Example











Unit: mm







Surface data













i
CR
Ti
nd
νd






 1
94.14
11.16 
1.52
64.20



 2
−43786.25
0.20





 3
85.92
3.68
1.59
61.25



 4
40.07
11.43 





 5
260.81
2.76
1.50
81.61



 6
42.43
14.67 





 7
−49.22
2.46
1.70
30.05



 8
282.87
variable (F)





 9
−89.98
4.83
1.81
40.73



10
−46.89
variable (Z)





11
−50.49
2.39
1.57
42.84



12
464.22
2.01





13
842.62
6.02
1.73
54.67



14
−63.02
variable (Z)





15
66.56
5.02
1.77
49.62



16
771.19
variable (Z)





17
145.30
2.30
1.49
70.44



18
42.14
6.35





19
−50.67
2.15
1.52
52.15



20
90.24
6.70





21
96.56
4.15
1.81
22.76



22
−198.04
2.02





23 (ST)

variable (Z)





24
779.38
7.64
1.44
95.10



25
−31.00
2.46





26
−28.23
1.89
1.81
33.27



27
−70.29
1.00





28
75.76
7.15
1.50
81.61



29
−58.54
16.67 





30
119.50
4.78
1.55
75.50



31
−75.87
4.82





32
−55.53
1.80
1.81
40.73



33
41.84
4.27





34
52.38
8.89
1.44
95.10



35
−50.69
variable (Z)





36
61.46
4.66
1.70
55.46



37

19.00 





38

25.00 
1.52
64.20



39

3.00





40

1.10
1.49
70.44



41

0.70





42 (IM)











Various data













Zoom ratio
1.63



Maximum image height
12.00



BF
39.92



Total lens length
236.00
















TELE
MIDDLE
WIDE






Focal length
36.70
28.71
22.47



Half viewing angle ω
18.11
22.68
28.11



F number
2.48
2.27
2.10



Group interval






T8
9.80
9.80
9.80



T10
6.97
6.82
34.47



T14
1.00
18.09
3.29



T16
39.34
22.40
9.55



T23
3.88
12.89
21.55



T35
18.67
9.66
1.00










Lens group data













Amount of zoom group movement




(TELE standard)















TELE
MIDDLE
WIDE
Refractive power






Gr1
0.000
0.000
0.000
−0.016



Gr2
0.000
−0.154
27.504
0.001



Gr3
0.000
16.937
29.790
0.011



Gr4
0.000
0.000
0.000
−0.009



Gr5
0.000
9.006
17.668
0.011



Gr6
0.000
0.000
0.000
0.011













Amount of focus group movement




(infinity focusing standard)













TELE
MIDDLE
WIDE
Refractive power





Gr1A (∞)
0.000
0.000
0.000
−0.030


Gr1A (3.3 m)
−0.326
−0.330
−0.332
−0.030


Gr1B
0.000
0.000
0.000
0.009









Second Example











Unit: mm







Surface data













i
CR
Ti
nd
νd






 1
60.86
14.33 
1.71
53.94



 2
528.23
0.22





 3
163.94
5.79
1.49
70.44



 4
36.89
13.62 





 5
−510.39
2.56
1.54
47.20



 6
103.44
7.37





 7
−74.62
2.51
1.65
33.84



 8
76.74
variable (F)





 9
−82.40
4.20
1.74
49.22



10
−47.87
variable (Z)





11
−47.15
2.41
1.54
47.20



12
−124.33
0.20





13
−637.74
4.93
1.62
63.39



14
−66.34
variable (Z)





15
62.02
5.53
1.62
63.39



16
37744.75
variable (Z)





17
−160.67
1.76
1.52
64.20



18
61.67
5.24





19
−64.18
2.29
1.52
64.20



20
81.83
2.14





21
89.01
3.47
1.81
22.76



22
−321.35
1.57





23 (ST)

variable (Z)





24
457.79
8.35
1.44
95.10



25
−30.74
2.25





26
−28.93
1.95
1.81
33.27



27
−50.24
1.00





28
48.49
6.89
1.50
81.61



29
−127.83
14.67 





30
322.35
4.34
1.44
95.10



31
−58.25
4.97





32
−43.03
1.69
1.60
38.01



33
36.66
9.50





34
56.23
7.77
1.44
95.10



35
−65.81
variable (Z)





36
69.95
4.15
1.74
49.22



37

19.00 





38

25.00 
1.52
64.20



39

3.00





40

1.10
1.49
70.44



41

0.70





42 (IM)











Various data













Zoom ratio
1.63



Maximum image height
12.00



BF
39.92



Total lens length
230.00
















TELE
MIDDLE
WIDE






Focal length
59.92
46.88
36.70



Half viewing angle ω
11.32
14.36
18.11



F number
2.52
2.30
2.10



Group interval






T8
12.63
12.63
12.63



T10
7.13
7.13
21.89



T14
1.00
16.79
14.96



T16
42.48
26.69
13.78



T23
3.20
10.32
18.07



T35
15.87
8.76
1.00










Lens group data













Amount of zoom group movement




(TELE standard)















TELE
MIDDLE
WIDE
Refractive power






Gr1
0.000
0.000
0.000
−0.010



Gr2
0.000
−0.001
14.752
0.002



Gr3
0.000
15.793
28.708
0.010



Gr4
0.000
0.000
0.000
−0.014



Gr5
0.000
7.116
14.871
0.013



Gr6
0.000
0.000
0.000
0.011













Amount of focus group movement




(infinity focusing standard)













TELE
MIDDLE
WIDE
Refractive power





Gr1A (∞)
0.000
0.000
0.000
−0.018


Gr1A (5.4 m)
−0.543
−0.551
−0.557
−0.018


Gr1B
0.000
0.000
0.000
0.007









Third Example











Unit: mm







Surface data













i
CR
Ti
nd
νd






 1
96.63
5.40
1.83
37.34



 2
54.86
15.67 





 3
98.80
4.40
1.83
37.34



 4
54.97
8.88





 5
60.59
19.08 
1.91
35.25



 6
−4132.63
variable (F)





 7
90.20
3.37
1.81
25.46



 8
31.44
14.13 





 9
219.36
3.52
1.81
22.76



10
43.85
14.75 





11
75.34
14.59 
1.49
70.44



12
−42.61
0.20





13
−135.24
2.24
1.50
81.61



14
65.22
variable (Z)





15
−86.84
2.89
1.50
81.61



16
1395.99
variable (Z)





17
182.91
5.11
1.73
54.67



18
−79.88
0.20





19
54.34
3.12
1.79
43.93



20
129.78
variable (Z)





21
−70.95
1.42
1.50
81.61



22
34.51
7.27





23
−53.62
1.99
1.49
70.44



24
111.88
1.49





25
74.44
4.18
1.81
22.76



26
−131.65
1.11





27 (ST)

variable (Z)





28
160.79
8.36
1.44
95.10



29
−32.16
2.56





30
−28.86
1.91
1.79
43.93



31
−74.84
1.00





32
228.12
6.52
1.50
81.61



33
−45.11
3.32





34
71.49
7.34
1.44
95.10



35
−63.83
3.89





36
−66.19
1.95
1.76
26.61



37
38.78
2.46





38
44.44
7.40
1.44
95.10



39
−109.62
variable (Z)





40
50.27
5.90
1.62
63.39



41

19.00 





42

25.00 
1.52
64.20



43

3.00





44

1.10
1.49
70.44



45

0.70





46 (IM)











Various data













Zoom ratio
1.50



Maximum image height
12.00



BF
39.92



Total lens length
265.00
















TELE
MIDDLE
WIDE






Focal length
22.93
18.73
15.29



Half viewing angle ω
27.63
32.65
38.13



F number
2.34
2.22
2.10



Group interval






T6
2.03
2.03
2.03



T14
14.72
17.42
15.43



T16
8.62
13.64
22.66



T20
19.99
12.28
5.27



T27
19.75
25.37
30.88



T39
13.37
7.74
2.23










Lens group data













Amount of zoom group movement




(TELE standard)















TELE
MIDDLE
WIDE
Refractive power






Gr1
0.000
0.000
0.000
−0.021



Gr2
0.000
2.685
0.682
−0.006



Gr3
0.000
7.710
14.724
0.022



Gr4
0.000
0.000
0.000
−0.015



Gr5
0.000
5.624
11.135
0.011



Gr6
0.000
0.000
0.000
0.012













Amount of focus group movement




(infinity focusing standard)













TELE
MIDDLE
WIDE
Refractive power





Gr1A
0.000
0.000
0.000
0.005


Gr1B (∞)
0.000
0.000
0.000
−0.023


Gr1B (2.2 m)
−0.966
−0.983
−0.997
−0.023









Fourth Example











Unit: mm







Surface data













i
CR
Ti
nd
νd






 1
82.48
9.58
1.52
64.20



 2
−10423.68
0.20





 3
64.18
2.77
1.59
61.25



 4
31.84
9.03





 5
96.55
2.14
1.74
49.22



 6
38.29
12.24 





 7
−42.99
2.09
1.58
40.89



 8
501.30
variable (F, Z)





 9
−56.82
2.80
1.81
22.76



10
93.06
2.89





11
156.12
7.84
1.91
35.25



12
−46.18
variable (Z)





13
72.04
4.07
1.74
49.22



14
−239.38
variable (Z)





15
−110.96
1.46
1.60
60.69



16
34.70
2.63





17
40.53
3.03
1.81
22.76



18
112.50
2.96





19 (ST)

variable (Z)





20
29.18
8.55
1.50
81.61



21
−49.69
4.13





22
−33.52
1.50
1.66
50.85



23
27.82
5.91





24
118.12
5.61
1.50
81.61



25
−43.24
0.20





26
59.97
9.25
1.50
81.61



27
−29.10
0.35





28
−39.50
1.76
1.81
33.27



29
52.88
3.03





30
77.18
6.38
1.50
81.61



31
−60.35
variable (Z)





32
49.91
5.75
1.62
63.39



33
−285.13
17.97 





34

25.00 
1.52
64.20



35

3.00





36

1.10
1.49
70.44



37

0.70





38 (IM)











Various data













Zoom ratio
1.48



Maximum image height
11.34



BF
38.89



Total lens length
186.00
















TELE
MIDDLE
WIDE






Focal length
30.03
24.67
20.27



Half viewing angle ω
20.69
24.69
29.22



F number
2.33
2.22
2.10



Group interval






T8
5.95
5.91
9.06



T12
19.87
31.51
38.23



T14
25.47
13.88
4.00



T19
2.44
8.41
15.54



T31
14.10
8.13
1.00










Lens group data













Amount of zoom group movement




(TELE standard)















TELE
MIDDLE
WIDE
Refractive power






Gr1
0.000
0.000
0.000
−0.030



Gr2
0.000
−0.039
3.111
0.006



Gr3
0.000
11.591
21.468
0.013



Gr4
0.000
0.000
0.000
−0.009



Gr5
0.000
5.968
13.097
0.009



Gr6
0.000
0.000
0.000
0.015













Amount of focus group movement




(infinity focusing standard)













TELE
MIDDLE
WIDE
Refractive power





Gr1 (∞)
0.000
0.000
0.000
−0.030


Gr1 (2.6 m)
−0.410
−0.414
−0.417
−0.030
















TABLE 1







Example 1


















Focal
Refractive












i
Grk
Lj
θg_F
length
power
















1-2
Gr1
Gr1A
L1
0.534
181.11
0.006


3-4


L2
0.540
−130.84
−0.008


5-6


L3
0.539
−102.09
−0.010


7-8


L4
0.603
−59.33
−0.017


 9-10

Gr1B
L5
0.567
114.99
0.009












11-12
Gr2
L6
0.574
−79.69
−0.013


13-14

L7
0.545
80.29
0.012


15-16
Gr3
L8
0.550
93.56
0.011


17-18
Gr4
L9
0.531
−122.23
−0.008


19-20

L10
0.559
−62.11
−0.016


21-22

L11
0.629
80.01
0.012


23

ST





24-25
Gr5
L12
0.533
68.26
0.015


26-27

L13
0.588
−59.32
−0.017


28-29

L14
0.539
67.44
0.015


30-31

L15
0.305
84.80
0.012


32-33

L16
0.567
−29.19
−0.034


34-35

L17
0.533
60.38
0.017


36-37
Gr6
L18
0.543
87.83
0.011


38-39

PR
0.534




40-41

CG
0.531




42

IM
















TABLE 2







Example 2


















Focal
Refractive












i
Grk
Lj
θg_F
length
power
















1-2
Gr1
Gr1A
L1
0.544
94.83
0.011


3-4


L2
0.531
−98.81
−0.010


5-6


L3
0.568
−158.03
−0.006


7-8


L4
0.592
−57.63
−0.017


 9-10

Gr1B
L5
0.549
145.36
0.007












11-12
Gr2
L6
0.568
−141.33
−0.007


13-14

L7
0.540
118.97
0.008


15-16
Gr3
L8
0.540
100.14
0.010


17-18
Gr4
L9
0.534
−85.68
−0.012


19-20

L10
0.534
−68.97
−0.014


21-22

L11
0.629
85.70
0.012


23

ST





24-25
Gr5
L12
0.533
66.09
0.015


26-27

L13
0.588
−87.60
−0.011


28-29

L14
0.539
71.46
0.014


30-31

L15
0.533
113.00
0.009


32-33

L16
0.583
−32.35
−0.031


34-35

L17
0.533
70.58
0.014


36-37
Gr6
L18
0.549
93.66
0.011


38-39

PR
0.534




40-41

CG
0.531




42

IM



















TABLE 3







Example 3


















Focal
Refractive












i
Grk
Lj
θg_F
length
power
















1-2
Gr1
Gr1A
L1
0.579
−160.67
−0.006


3-4


L2
0.579
−154.76
−0.006


5-6


L3
0.582
65.26
0.015


7-8

Gr1B
L4
0.616
−60.95
−0.016


 9-10


L5
0.629
−67.73
−0.015


11-12


L6
0.531
58.00
0.017


13-14


L7
0.539
−87.95
−0.011












15-16
Gr2
L8
0.539
−163.92
−0.006


17-18
Gr3
L9
0.545
76.55
0.013


19-20

L10
0.561
116.17
0.009


21-22
Gr4
L11
0.539
−46.37
−0.022


23-24

L12
0.531
−73.81
−0.014


25-26

L13
0.629
58.78
0.017


27

ST





28-29
Gr5
L14
0.533
61.99
0.016


30-31

L15
0.561
−60.57
−0.017


32-33

L16
0.539
76.17
0.013


34-35

L17
0.539
78.26
0.013


36-37

L18
0.612
−31.56
−0.032


38-39

L19
0.533
73.25
0.014


40-41
Gr6
L20
0.540
81.03
0.012


42-43

PR
0.534




44-45

CG
0.531




46

IM



















TABLE 4







Example 4


















Focal
Refractive



i
Grk
Lj
θg_F
length
power

















1-2
Gr1
L1
0.534
157.81
0.006



3-4

L2
0.540
−110.35
−0.009



5-6

L3
0.549
−86.31
−0.012



7-8

L4
0.577
−67.62
−0.015



 9-10
Gr2
L5
0.629
−42.85
−0.023



11-12

L6
0.582
39.60
0.025



13-14
Gr3
L7
0.549
74.55
0.013



15-16
Gr4
L8
0.541
−43.50
−0.023



17-18

L9
0.629
76.15
0.013



19

ST






20-21
Gr5
L10
0.539
38.27
0.026



22-23

L11
0.558
−22.76
−0.044



24-25

L12
0.539
64.25
0.016



26-27

L13
0.539
40.71
0.025



28-29

L14
0.588
−27.62
−0.036



30-31

L15
0.539
69.01
0.014



32-33
Gr6
L16
0.540
68.93
0.015



34-35

PR
0.534





36-37

CG
0.531





38

IM


















TABLE 5







Conditional




Expression
Example 1
Example 2















(1)
θg_Fp + 0.004 × νdp
L11
0.720
L11
0.720


(2)
νdp

22.760

22.760










(3)
BF/Fw
1.777
1.088


(4)
|Φp/Φ4|
1.337
0.856


(5)
|Φ4/Φw|
0.210
0.500












(6)
θg_Fn + 0.001682 × νd
L9
0.649
L9
0.642


(7)
νdn

70.440

64.200


(6)
θg_Fn + 0.001682 × νd
L10
0.647
L10
0.642


(7)
νdn

52.150

64.200












Conditional




Expression
Example 3
Example 4















(1)
θg_Fp + 0.004 × νdp
L13
0.720
L9
0.720


(2)
νdp

22.760

22.760










(3)
BF/Fw
2.611
1.918


(4)
|Φp/Φ4|
1.101
1.415


(5)
|Φ4/Φw|
0.236
0.188












(6)
θg_Fn + 0.001682 × νd
L11
0.676
L8
0.643


(7)
νdn

81.610

60.690


(6)
θg_Fn + 0.001682 × νd
L12
0.649




(7)
νdn

70.440









Although the present invention has been described and illustrated in detail, it is clearly understood that the same is by way of illustrated and example only and is not to be taken by way of limitation, the scope of the present invention being interpreted by terms of the appended claims.

Claims
  • 1. A projection zoom lens comprising, sequentially from an enlargement conjugate side: a first lens group having negative refractive power; a second lens group having positive or negative refractive power; a third lens group having positive refractive power; a fourth lens group having negative refractive power; a fifth lens group having positive refractive power; and a sixth lens group having positive refractive power, and configured to perform a magnification variation by changing the interval between the respective lens groups, wherein the fourth lens group comprises at least one positive lens and at least one negative lens, at least one of the positive lenses included in the fourth lens group satisfies the following Conditional Expressions (1) and (2), and the back focus of the entire projection zoom lenses satisfies the following Conditional Expression (3): 0.71≤θg_Fp+0.004×νdp≤0.73  (1)15≤νdp≤25  (2)1.0≤BF/Fw≤2.7  (3)whereθg_Fp: partial dispersion ratio of lens material,θg_Fp=(Ng−NF)/(NF−NC)Ng: refractive index of g line,NF: refractive index of F line,NC: refractive index of C line,νdp: Abbe number of the lens material,BF: air conversion back focus from the last lens surface to the image surface, andFw: focal length of the entire projection zoom lenses at the wide-angle end.
  • 2. The projection zoom lens according to claim 1, wherein an aperture stop is disposed between a surface of the third lens group closest to a reduction conjugate side and a surface of the fifth lens group closest to an enlargement conjugate side.
  • 3. The projection zoom lens according to claim 1, wherein the fourth lens group comprises two negative lenses and one positive lens sequentially from the enlargement conjugate side.
  • 4. The projection zoom lens according to claim 1, wherein the fourth lens group comprises one negative lens and one positive lens sequentially from the enlargement conjugate side.
  • 5. The projection zoom lens according to claim 1, wherein the positive lens, which satisfies Conditional Expressions (1) and (2), satisfies the following Conditional Expression (4): 0.85≤|Φp/Φ4|≤1.45  (4)whereΦp: refractive power of a positive lens, andΦ4: refractive power of the fourth lens group.
  • 6. The projection zoom lens according to claim 1, wherein the following Conditional Expression (5) is satisfied: 0.18≤|Φ4/Φw|≤0.24  (5)whereΦ4: refractive power of the fourth lens group, andΦw: refractive power of the entire projection zoom lens at the wide-angle end.
  • 7. The projection zoom lens according to claim 1, wherein at least one of the negative lenses included in the fourth lens group satisfies the following Conditional Expressions (6) and (7): 0.645≤θg_Fn+0.001682×νdn≤0.695  (6)60≤νdn≤100  (7)whereθg_Fn: partial dispersion ratio of the lens material,θg_Fn=(Ng−NF)/(NF−NC)Ng: refractive index of g line,NF: refractive index of F line,NC: refractive index of C line, andνdn: Abbe number of the lens material.
  • 8. An image projection apparatus comprising: an image forming element configured to form an image light; and the projection zoom lens according to claim 1 configured to enlarge and project the image light.
Priority Claims (1)
Number Date Country Kind
2016-059913 Mar 2016 JP national
Foreign Referenced Citations (1)
Number Date Country
2008-052174 Mar 2008 JP
Related Publications (1)
Number Date Country
20170276916 A1 Sep 2017 US