Patent Publication Number: US-7215487-B2

Title: Zoom lens including a function of preventing blurring of an image

Description:
TECHNICAL FIELD OF THE INVENTION 
   The present invention relates to a zoom lens including a function of preventing blurring of an image for mounting in compact digital still cameras (commonly called digital cameras) and video cameras for consumers. 
   BACKGROUND OF THE INVENTION 
   During photography using a digital camera or a video camera for consumers, recorded images are sometimes blurred due to movements of the zoom lens during image capture caused by the hands of the operator of the camera shaking or by other factors. In a known prior art technique for preventing such blurring of images, specified lenses of the imaging optical system are moved orthogonally to the optical axis in order to provide a function of preventing blurring of an image. 
   For example, a zoom lens including a function of preventing blurring of an image is disclosed in Japanese Laid-Open Patent Application No. H06-337374. The zoom lens of Japanese Laid-Open Patent Application No. H06-337374 is a two-group zoom lens including, in order from the object side, a first lens group having negative refractive power and a second lens group having positive refractive power. In this zoom lens, the second lens group is moved orthogonally to the optical axis in order to prevent blurring of images due to movements of the zoom lens during image capture. 
   Japanese Laid-Open Application No. H01-167724 discloses an imaging optical system including multiple lens groups wherein a specified lens group is moved orthogonally to the optical axis in order to prevent blurring of images due to movements of the zoom lens during image capture. In Japanese Laid-Open Application No. H01-167724, the image magnification of this specified lens group is limited to be no larger than a certain value in order to limit the movement off the optical axis in a direction orthogonal to the optical axis required for the specified lens group to prevent blurring of the image being captured. 
   Additionally, the applicant of the present application disclosed a three-group zoom lens having high resolution in Japanese Laid-Open Patent Application No. 2004-240222. However, this zoom lens does not include a function of preventing blurring of an image. 
   Recently, there has been increased demand for zoom lenses that are compact overall and include a function of preventing blurring of an image accurately. However, the two-group zoom lens disclosed in Japanese Laid-Open Patent Application No. H06-337374, discussed above, wherein light emerging from the second lens group is nearly collimated before it reaches the image pickup surface, such as a CCD (charge coupled device), tends to have a large overall length, making it difficult to reduce the size of the zoom lens. On the other hand, quick response is required to accomplish highly accurate correction when image blurring movements, such as movements caused by hands shaking, occur. In order to obtain this quick response, it is desirable that the movement off the optical axis of the lenses being used to prevent blurring of a captured image be as small as possible. The imaging optical system of Japanese Laid-Open Application No. H01-167724, discussed above, has successfully reduced the movement off the optical axis required of the lenses being used to prevent blurring of a captured image. However, it does not provide sufficiently accurate correction for movements that cause blurring of a captured image as is desired for future use. Therefore, a zoom lens that more efficiently prevents blurring of a captured image while achieving more compactness is desired. 
   BRIEF SUMMARY OF THE INVENTION 
   The present invention relates to a zoom lens that includes a function of preventing blurring of an image due to movements of the zoom lens, such as hand shaking movements, that exhibits excellent optical performance and that has a compact construction. 

   
     BRIEF DESCRIPTION OF THE DRAWINGS 
     The present invention will become more fully understood from the detailed description given below and the accompanying drawings, which are given by way of illustration only and thus are not limitative of the present invention, wherein: 
       FIG. 1  shows cross-sectional views of the zoom lens of Embodiment 1 of the present invention at the wide-angle end (WIDE) and at the telephoto end (TELE); 
       FIG. 2  shows cross-sectional views of the zoom lens of Embodiment 2 of the present invention at the wide-angle end (WIDE) and at the telephoto end (TELE); 
       FIG. 3  shows cross-sectional views of the zoom lens of Embodiment 3 of the present invention at the wide-angle end (WIDE) and at the telephoto end (TELE); 
       FIG. 4  shows cross-sectional views of the zoom lens of Embodiment 4 of the present invention at the wide-angle end (WIDE) and at the telephoto end (TELE); 
       FIGS. 5A–5D  show the spherical aberration, astigmatism, distortion, and lateral color, respectively, of the zoom lens of Embodiment 1 of the present invention at the wide-angle end; 
       FIGS. 6A–6D  show the spherical aberration, astigmatism, distortion, and lateral color, respectively, of the zoom lens of Embodiment 1 of the present invention at the telephoto end; 
       FIG. 7  shows the coma aberrations of the zoom lens of Embodiment 1 of the present invention at the telephoto end under normal conditions and under conditions of preventing blurring; 
       FIGS. 8A–8D  show the spherical aberration, astigmatism, distortion, and lateral color, respectively, of the zoom lens of Embodiment 2 of the present invention at the wide-angle end; 
       FIGS. 9A–9D  show the spherical aberration, astigmatism, distortion, and lateral color, respectively, of the zoom lens of Embodiment 2 of the present invention at the telephoto end; 
       FIG. 10  shows the coma aberrations of the zoom lens of Embodiment 2 of the present invention at the telephoto end under normal conditions and under conditions of preventing blurring; 
       FIGS. 11A–11D  show the spherical aberration, astigmatism, distortion, and lateral color, respectively, of the zoom lens of Embodiment 3 of the present invention at the wide-angle end; 
       FIGS. 12A–12D  show the spherical aberration, astigmatism, distortion, and lateral color, respectively, of the zoom lens of Embodiment 3 of the present invention at the telephoto end; 
       FIG. 13  shows the coma aberrations of the zoom lens of Embodiment 3 of the present invention at the telephoto end under normal conditions and under conditions of preventing blurring; 
       FIGS. 14A–14D  show the spherical aberration, astigmatism, distortion, and lateral color, respectively, of the zoom lens of Embodiment 4 of the present invention at the wide-angle end; 
       FIGS. 15A–15D  show the spherical aberration, astigmatism, distortion, and lateral color, respectively, of the zoom lens of Embodiment 4 of the present invention at the telephoto end; and 
       FIG. 16  shows the coma aberrations of the zoom lens of Embodiment 4 of the present invention at the telephoto end under normal conditions and under conditions of preventing blurring. 
   

   DETAILED DESCRIPTION 
   A general description of a zoom lens including a function of preventing blurring of an image will first be described with reference to  FIG. 1  that shows cross-sectional views of the zoom lens of Embodiment 1 of the present invention at the wide-angle end (WIDE) with the zoom lens focused at infinity, at the top of  FIG. 1 , and at the telephoto end (TELE) with the zoom lens focused at infinity, at the bottom of  FIG. 1 . In  FIG. 1 , a horizontal arrow at the upper left labeled “Zobj” points in the direction indicating the object side of the zoom lens, and a horizontal arrow at the upper right labeled “Zimg” points in the direction indicating the image side of the zoom lens. At the top of  FIG. 1 , lens elements are referenced by the letter L followed by a number denoting their order from the object side of the zoom lens along the optical axis Z 1 , from L 1  to L 6 . Similarly, at the bottom of  FIG. 1 , the surfaces of the various optical elements, including the lens surfaces, are referenced by the letter S followed by a number denoting their order from the object side of the zoom lens along the optical axis, from S 1  to S 14 , and the corresponding radii of curvature of the surfaces of the various optical elements, including the lens surfaces, are referenced in parentheses under the S number of the surfaces by the letter R followed by a number denoting their order from the object side of the zoom lens, from R 1  to R 14 . Note that although R is the on-axis radius of curvature, for convenience of illustration, in  FIG. 1  the lead lines from the R reference symbols extend to the surfaces being referenced but do not extend to the on-axis positions. Also, at the top of  FIG. 1 , the on-axis surface spacings along the optical axis Z 1  of the various optical surfaces are referenced by the letter D followed by a number denoting their order from the object side of the zoom lens, from D 1  to D 13 . In the same manner, at the top of  FIG. 1 , three lens groups are labeled G 1 , G 2 , and G 3  in order from the object side of the zoom lens and the lens elements belonging to each lens group are indicated by the brackets adjacent the labels G 1 , G 2 , and G 3 . 
   Additionally, in the middle of  FIG. 1 , downwardly directed arrows below the three lens groups G 1 , G 2 , and G 3  indicate the movement of these lens groups along the optical axis Z 1  during zooming, with movement during zooming from the wide-angle end to the telephoto end of the zoom range being indicated by the component of these arrows in the direction of the optical axis Z 1 . These arrows illustrate that during zooming from the wide-angle end to the telephoto end, the distance along the optical axis between the first lens group G 1  and the second lens group G 2  decreases, the second lens group moves along the optical axis continuously toward the object side, and the third lens group remains stationary on the optical axis. Also, in  FIG. 1 , a double headed vertical arrow indicates the movement of the second lens group G 2  in a direction orthogonal to the optical axis Z 1  in order to correct for blurring of an image to be formed at an image plane Simg on the image side of the zoom lens due to movements, due for example to hand shaking, of the zoom lens. Additionally,  FIG. 1  shows a parallel plane plate cover glass GC adjacent the image plane Simg and a diaphragm or stop, labeled St at the bottom of  FIG. 1 , on the object side of the sixth optical surface S 6 . 
     FIGS. 2 ,  3 , and  4  similarly show cross-sectional views of the zoom lenses of Embodiments  2 ,  3 , and  4 , respectively, of the present invention at the wide-angle end (WIDE) and at the telephoto end (TELE) with the zoom lenses focused at infinity. The general configurations of the zoom lenses of Embodiments 1–4 are similar and therefore these embodiments are generally described with reference to  FIG. 1  that shows Embodiment 1. However, features of Embodiments 2–4 that differ from Embodiment 1 will be pointed out with reference to the separate figures corresponding to these embodiments in the separate descriptions of the various embodiments below. 
   The terms “lens group”, “lens element”, and “lens component” will now be defined, with the term “lens group” being defined in terms of “lens elements” and “lens components” as explained herein. The term “lens element” is herein defined as a single transparent mass of refractive material having two opposed refracting surfaces, which surfaces are positioned at least generally transversely of the optical axis of the zoom lens. The term “lens component” is herein defined as (a) a single lens element spaced so far from any adjacent lens element that the spacing cannot be neglected in computing the optical image forming properties of the lens elements or (b) two or more lens elements that have their adjacent lens surfaces either in full overall contact or overall so close together that the spacings between adjacent lens surfaces of the different lens elements are so small that the spacings can be neglected in computing the optical image forming properties of the two or more lens elements. Thus, some lens elements may also be lens components. Therefore, the terms “lens element” and “lens component” should not be taken as mutually exclusive terms. In fact, the terms may frequently be used to describe a single lens element in accordance with part (a) above of the definition of a “lens component.” Alternatively, two or more lens elements may be joined together, as by cementing the lens elements together, in order to form a lens component. A lens component made up of only two lens elements cemented together is a doublet. 
   The term “lens group” is herein defined as an assembly of one or more lens components in optical series and with no intervening lens components along an optical axis that, during zooming, is movable as a single unit relative to another lens component or other lens components. 
   The zoom lens of the present invention may be mounted, for example, in compact cameras, such as digital still cameras and video cameras for consumers. As shown in  FIG. 1 , this zoom lens includes, arranged along the optical axis Z 1  in order from the object side, a first lens group G 1  having negative refractive power, a second lens group G 2  having positive refractive power, a third lens group G 3  having positive refractive power, and a parallel plane plate cover glass GC. The image pickup surface of an image pickup device such as a CCD (charge-coupled device) is provided on the imaging surface Simg.  FIG. 1  shows the diaphragm St in an exemplary position on the object side of the second lens group G 2 . As shown in  FIG. 1 , the distances along the optical axis between the first and second lens groups G 1  and G 2  and between the second and third lens groups G 2  and G 3  change during zooming from the wide-angle to the telephoto end. As shown by the downwardly directed arrows in  FIG. 1 , in Embodiment 1 of the present invention, during zooming from the wide-angle end to the telephoto end while the zoom lens is focused at infinity, the distance along the optical axis Z 1  between the first lens group G 1  and the second lens group G 2  decreases, the second lens group moves along the optical axis Z 1  continuously toward the object side, but the third lens group does not move along the optical axis Z 1 . On the other hand, in Embodiments 2, 3, and 4 of the present invention that are shown in  FIGS. 2 ,  3 , and  4 , respectively, during zooming from the wide-angle end to the telephoto end while the zoom lens is focused at infinity, the distance along the optical axis Z 1  between the first lens group G 1  and the second lens group G 2  decreases and the second lens group moves along the optical axis Z 1  continuously toward the object side, but the third lens group G 3  moves along the optical axis first away from the image side and then toward the image side and the third lens group is closer to the image side at the telephoto end than at the wide-angle end. In  FIGS. 1 ,  2 ,  3 , and  4 , the movement of lens group G 3  and/or G 1  toward and away from the object side of the zoom lens during zooming is indicated by the downwardly directed arrows indicating the movement being curved. However, the actual movement being indicated by these arrows is only straight line movement along the optical axis Z 1 , unlike the movement indicated by the double-headed vertical arrow above lens group G 2  in  FIGS. 1 ,  2 ,  3 , and  4 . The curved lines indicate that, as the second lens group moves along said optical axis continuously toward the object side at a constant speed, the first lens group (and the third lens group when it is movable along the optical axis during zooming) moves (move) more quickly along the optical axis as zooming approaches the wide-angle end and as zooming approaches the telephoto end than in the middle of the zoom range. 
   The first lens group G 1  has a two lens element configuration formed of, in order from the object side, a first lens element L 1  and a second lens element L 2 . The first lens element L 1  is, in the example of  FIG. 1 , a lens element of negative refractive power and a meniscus shape with its convex surface on the object side. The second lens element L 2  is, in the example of  FIG. 1 , a lens element having positive refractive power and a meniscus shape with its convex surface on the object side. However, in Embodiment 3 of the present invention, shown in  FIG. 3 , the first lens group G 1  has a three lens element configuration that includes a doublet L 20  in place of the second lens element L 2 . The doublet L 20  is formed of a lens element L 21  and a lens element L 22  that are cemented together. The lens element L 21  is, in the example of  FIG. 3 , a lens element having positive refractive power and a meniscus shape with its convex surface on the object side. The lens element L 22  is, in the example of  FIG. 3 , a lens element having negative refractive power and a meniscus shape with its convex surface on the object side. 
   In Embodiment 1, the first lens element L 1  has aspheric lens surfaces S 1  and S 2 . The lens surfaces that are aspheric may be defined using the following Equation (A):
 
 Z =[( C·Y   2 )/{1+(1− K·C   2   ·Y   2 ) 1/2 }]+Σ( A   i   ·Y   i )  Equation (A)
 
where
         Z is the length (in mm) of a line drawn from a point on the aspheric lens surface at a distance Y from the optical axis to the tangential plane of the aspheric lens surface vertex,   C is the curvature (=1/the radius of curvature, R in mm) of the aspheric lens surface on the optical axis,   Y is the distance (in mm) from the optical axis,   K is the eccentricity, and   A i  is the ith aspheric coefficient, and the summation extends over i, where i is greater than or equal to three.       

   The aspheric lens surfaces S 1  and S 2  may be defined by at least one even order non-zero aspheric coefficient A i  and at least one odd order non-zero aspheric coefficient A i  in Equation (A) above. However, in Embodiment 3, shown in  FIG. 3 , the image side surface S 5  of the lens element L 22  of the first lens group G 1  is an aspheric lens surface defined by Equation (A) above with at least one aspheric coefficient A i  of sixteenth order or higher being non-zero. Additionally, preferably at least one aspheric coefficient A i  of even order and of sixteenth or higher order is non-zero and at least one aspheric coefficient A i  of odd order and of sixteenth or higher order is non-zero for at least one aspheric lens surface of said first lens group using Equation (A) above, as shown by Embodiment 3. 
   In Embodiments 1–4, the second lens group G 2  is formed of, in order from the object side, third to fifth lens elements L 3  to L 5 . The entire second lens group G 2  moves orthogonally to the optical axis Z 1  in order to prevent blurring of an image by movements, such as hand shaking, of the zoom lens. 
   As mentioned above, the zoom lens including a function of preventing blurring of an image of the present invention is formed of, in order from the object side, the first lens group G 1  having negative refractive power, the second lens group G 2  having positive refractive power, and the third lens group G 3  having positive refractive power. The distances between these three lens groups change during zooming as described above, light emerging from the third lens group G 3  toward the image pickup surface is nearly collimated, and the length of the zoom lens remains relatively small during zooming. Additionally, by the first lens group G 1  including (in order from the object side) a first lens element having negative refractive power and a second lens element having positive refractive power, such a construction enables a wide-angle zoom lens to be made. Also, the first lens group includes at least one aspheric lens surface that enables satisfactorily correcting, in particular, field curvature and distortion. 
   Additionally, the zoom lens of the present invention satisfies the following Condition (1):
 
β2 t &lt;−1.5  Condition (1)
 
where
         β2t is the image magnification of the second lens group G 2  at the telephoto end.       

   Condition (1) above defines the image magnification β2t of the second lens group G 2  at the telephoto end. Satisfying Condition (1) enables preventing blurred images in a highly sensitive manner by moving the second lens group G 2  orthogonally to the optical axis Z 1  by small amounts. When Condition (1) is not satisfied, the second lens group G 2  is required to move more for sufficiently preventing blurred images, which makes it difficult to achieve an overall compact configuration and highly responsive blurred image prevention. 
   The second lens group G 2  includes, arranged in order from the object side, a doublet formed of a third lens element L 3  having positive refractive power and a fourth lens element L 4  having negative refractive power, and a fifth lens element L 5  having a meniscus shape with its concave surface on the image side so as to enable satisfactorily correcting axial chromatic aberration and achieving an overall compact zoom lens. The fifth lens element L 5  having aspheric lens surfaces on either side serves to satisfactorily correct field curvature, distortion, and spherical aberration. Particularly, the aspheric lens surfaces S 9  and S 10  are defined by Equation (A) above. In Embodiments 1–4, lens element L 3  is a biconvex lens element and in Embodiments 1, 3, and 4, lens element L 4  is a biconcave lens element. However, in Embodiment 2, shown in  FIG. 2 , lens element L 4  is a lens element having negative refractive power and a meniscus shape with its concave surface on the object side. 
   The third lens group G 3  is formed of a sixth lens element L 6 , which is, in exemplary Embodiments 1–4, a biconvex lens element. The third lens group G 3  moves along the optical axis Z 1  toward the object side during focusing from infinity to close range. 
   It is desirable that the zoom lens of the present invention satisfy the following Condition (2):
 
0.05 mm&lt;(ft·tan Δθ)/|β3 t ·(1−β2 t )|&lt;0.1 mm  Condition (2)
 
where
         ft is the focal length of the zoom lens at the telephoto end;   Δθ is the field angle of correction at the telephoto end;   β3t is the image magnification of the third lens group G 3  at the telephoto end; and   β2t is as defined above.
 
The term (ft·tan Δθ)/|β3t(1−β2t)| of Condition (2) is the maximum movement required of the lens group G 2  for preventing a blurred image (hereinafter, simply termed the ‘maximum movement M’).
       

   It is further desirable that the zoom lens of the present invention satisfy the following Condition (3):
 
|β3 t ·(1−β2 t )|&gt;1.9  Condition (3)
 
where the variables β3t and β2t are as defined above.
 
   Conditions (2) and (3) above define the maximum movement M. The relationship between the maximum movement M of the second lens group G 2  at the telephoto end and the S corresponding image shift ΔY on the imaging surface Simg is expressed by the following Equation (B):
 
|β3 t ·(1−β2 t )|· M=ΔY   Equation (B)
 
where the variables β3t and β2t are as defined above.
 
   A shift ΔY is expressed by the following Equation (C):
 
Δ Y =ft·tan Δθ  Equation (C)
 
where the variables ft and Δθ are as defined above.
 
   The following is derived from Equations (B) and (C) above:
 
|β3 t ·(1−β2 t )|=(ft·tan Δθ)/ M 
 
so that, by rearranging:
 
 M =(ft·tan Δθ)/|β3 t ·(1−β2 t )|  Equation (D).
 
   The quantity on the right side of Equation (D) is the quantity controlled by Condition (2) above. 
   The field angle of correction Δθ is generally required to be 0.5 degrees or larger. With Condition (2) above being satisfied, the field angle of correction Δθ may be, for example, 0.5 degrees. When Conditions (2) and (3) are satisfied, a proper maximum movement M is obtained and excellent prevention of a blurred image is achieved. When the upper limit of Condition (2) is not satisfied, the maximum movement M of the second lens group G 2  is excessively increased, which is disadvantageous for a small size zoom lens. When the lower limit of Condition (2) is not satisfied, attempts to correct blurring of the image are conducted in a highly sensitive manner, which makes it difficult to properly control the maximum movement M of the second lens group G 2 . When Condition (3) is not satisfied, correction of blurring of the image is conducted in a less sensitive manner and the maximum movement M of the second lens group G 2  for sufficiently preventing a blurred image is increased. 
   Additionally, with particular regard to lens group G 2 , it is further desirable that the zoom lens of the present invention satisfy the following Conditions (4) and (5):
 
ν3−ν4≧15  Condition (4)
 
 d/fw≦ 0.25  Condition (5)
 
where
         ν3 is the Abbe number at the d-line of the lens element having positive refractive power (L 3 ) of the doublet of the second lens group G 2 ;   ν4 is the Abbe number at the d-line of the lens element having negative refractive power (L 4 ) of the doublet of the second lens group G 2 ;   d is the distance along the optical axis between lens elements L 4  and L 5  of the second lens group G 2  (which corresponds to D 8  in Embodiments 1, 2, and 4 and corresponds to D 9  in Embodiment 3); and   fw is the focal length of the zoom lens at the wide-angle end.       

   When Condition (4) above is satisfied, lateral color at the wide-angle end and axial chromatic aberration at the telephoto end are particularly well corrected. When Condition (5) is satisfied, the second lens group G 2  can have a smaller overall thickness, which is advantageous for making the zoom lens smaller. 
   In the zoom lens of Embodiments 1, 2, and 4 of the present invention, the lens surfaces S 1  and S 2  of the first lens element L 1  are defined by Equation (A) above with at least one odd order and one even order aspheric coefficient Ai being non-zero. In the zoom lens of Embodiment 3 of the present invention, as shown in  FIG. 3 , the image side surface S 5  of the lens element L 22  is defined by Equation (A) above with at least one aspheric coefficient Ai of sixteenth or higher order being non-zero. These features enable aberrations to be well corrected. 
   The zoom lens of the present invention having configurations as described above achieves a proper maximum movement M of the second lens group G 2  and excellently prevents a blurred image, while enabling a zoom lens that has a compact configuration and that satisfactorily corrects aberrations. 
   Embodiments 1–4 of the present invention will now be individually described with further reference to the drawings. 
   Embodiment 1 
     FIG. 1  shows cross-sectional views of the zoom lens of Embodiment 1 of the present invention at the wide-angle end (WIDE) and at the telephoto end (TELE). 
   Table 1 below lists the lens group designation (or cover glass GC) and the surface number #, in order from the object side, the radius of curvature R (in mm) of each surface on the optical axis, the on-axis surface spacing D (in mm), except that the on-axis surface spacings that vary with zooming are listed in Table 3 below, as well as the refractive index N d  and the Abbe number ν d  at the d-line (587.6 nm) of each optical element for Embodiment 1. Note that although R is the on-axis radius of curvature, for convenience of illustration, in  FIG. 1  the lead lines from the R reference symbols extend to the surfaces being referenced but do not extend to the on-axis positions. 
   
     
       
         
             
             
             
             
             
             
           
             
               TABLE 1 
             
             
                 
             
             
               Lens 
                 
                 
                 
                 
                 
             
             
               Group 
               # 
               R 
               D 
               N d   
               ν d   
             
             
                 
             
           
          
             
                 
             
          
         
         
             
             
             
             
             
             
          
             
               1 
                1* 
               289.1745 
               1.00 
               1.80348 
               40.4 
             
             
               1 
                2* 
               5.6490 
               2.16 
             
             
               1 
               3 
               8.1430 
               1.83 
               1.92286 
               20.9 
             
             
               1 
               4 
               13.5774 
                D4 (variable) 
             
             
               2 
               5 
               ∞ 
               0.40 
             
             
                 
                 
               (stop) 
             
             
               2 
               6 
               5.5720 
               3.54 
               1.71300 
               53.9 
             
             
               2 
               7 
               −5.5720 
               0.56 
               1.66680 
               33.1 
             
             
               2 
               8 
               7.1924 
               0.15 
             
             
               2 
                9* 
               5.7845 
               1.05 
               1.56865 
               58.6 
             
             
               2 
               10* 
               7.6893 
               D10 (variable) 
             
             
               3 
               11  
               24.9237 
               1.81 
               1.48749 
               70.2 
             
             
               3 
               12  
               −24.9237 
               4.05 
             
             
               GC 
               13  
               ∞ 
               0.91 
               1.51680 
               64.2 
             
             
               GC 
               14  
               ∞ 
               0.00 
             
             
                 
             
          
         
       
     
   
   The lens surfaces with a * to the right of the surface number in Table 1 are aspheric lens surfaces, and the aspheric lens surface shape of these lens surfaces is expressed by Equation (A) above. In the zoom lens of Embodiment 1, the lens surfaces S 1  and S 2  of the first lens element L 1  in the first lens group G 1  and the lens surfaces S 9  and S 10  of the fifth lens element L 5  in the second lens group G 2  are aspheric. 
   Table 2 below lists the values of the constant K and the aspheric coefficients A 3 –A 10  used in Equation (A) above for each of the aspheric lens surfaces of Table 1. Aspheric coefficients that are not present in Table 2 are zero. An “E” in the data indicates that the number following the “E” is the exponent to the base  10 . For example, “1.0E-2” represents the number 1.0×10 −2 . 
   
     
       
         
             
             
             
             
             
             
           
             
               TABLE 2 
             
             
                 
             
           
          
             
               # 
               K 
               A 3   
               A 4   
               A 5   
               A 6   
             
             
                 
             
             
               1 
               −1.6541660 
               −1.7066764E-4 
               2.0859084E-3 
               −5.2991230E-4 
               −2.8005201E-5 
             
             
               2 
               −0.2646114 
               −3.6236190E-4 
               3.2772158E-3 
               −7.3500188E-4 
                1.7210526E-5 
             
             
               9 
               −3.9999935 
                0 
               3.3683977E-3 
                0 
               −1.9741958E-4 
             
             
               10 
                0.1092475 
                0 
               3.6796439E-3 
                0 
                3.3159871E-5 
             
             
                 
             
          
         
         
             
             
             
             
             
          
             
               # 
               A 7   
               A 8   
               A 9   
               A 10   
             
             
                 
             
             
               1 
               3.2753797E-5 
               −4.7044463E-6 
                1.2466006E-7 
                1.1261201E-8 
             
             
               2 
               2.4496153E-5 
               −5.6434100E-7 
               −6.9394753E-7 
                6.0890837E-8 
             
             
               9 
               0 
               −1.4767677E-5 
                0 
               −1.6776015E-7 
             
             
               10 
               0 
               −1.8135579E-5 
                0 
               −1.4023255E-7 
             
             
                 
             
          
         
       
     
   
   As shown in Table 2 above, the aspheric lens surfaces of the zoom lens of Embodiment 1 are defined effectively using non-zero aspheric coefficients A i  of not only even order terms but also odd order terms. 
   In the zoom lens of Embodiment 1 both the first lens group G 1  and the second lens group G 2  move during zooming. Therefore, the on-axis spacings D 4  and D 10  change with zooming. With zooming, the focal length f, the f-number F NO , and the field angle, that is, the angle of view, 2ω, of the zoom lens also change. Table 3 below lists the values of the focal length f (in mm), the f-number F NO , the field angle 2ω (in degrees), and the variables D 4  and D 10  (in mm) at the wide-angle end (f=5.8 mm) and at the telephoto end (f=15.95 mm) when the zoom lens is focused at infinity. 
   
     
       
         
             
             
             
             
             
           
             
               TABLE 3 
             
             
                 
             
             
               f 
               F NO   
               2ω 
               D4 
               D10 
             
             
                 
             
           
          
             
                 
             
          
         
         
             
             
             
             
             
          
             
               5.8 
               2.9 
               62.3 
               14.56 
               5.28 
             
             
               15.95 
               5.0 
               23.7 
               2.85 
               16.17 
             
             
                 
             
          
         
       
     
   
   As set forth in Table 4 below, the zoom lens of Embodiment 1 of the present invention satisfies all of Conditions (1) through (5) above, with Condition (2) being applied to the maximum movement M of the second lens group G 2  associated with a field angle of correction of 0.5 degrees. 
   
     
       
         
             
             
             
           
             
               TABLE 4 
             
             
                 
             
             
               Condition No. 
               Condition 
               Value 
             
             
                 
             
           
          
             
                 
             
          
         
         
             
             
             
          
             
               (1) 
               β2t &lt; −1.5 
               −1.60 
             
             
               (2) 
               0.05 mm &lt; M (for field angle of 
               0.067 
             
             
                 
               correction of 0.5°) &lt; 0.1 mm 
             
             
               (3) 
               |β3t · (1 − β2t)| &gt; 1.9 
               2.07 
             
             
               (4) 
               ν3 − ν4 ≧ 15 
               20.8 
             
             
               (5) 
               d/fw ≦ 0.25 
               0.026 
             
             
                 
             
          
         
       
     
   
     FIGS. 5A–5D  show the spherical aberration, astigmatism, distortion, and lateral color, respectively, of the zoom lens of Embodiment 1 at the wide-angle end, and  FIGS. 6A–6D  show the spherical aberration, astigmatism, distortion, and lateral color, respectively, of the zoom lens of Embodiment 1 at the telephoto end. These are aberrations obtained when the second lens group G 2  for preventing a blurred image is at its normal position and under no influence of movement of the zoom lens, such as movement or vibration due to shaky hands holding the zoom lens. In  FIGS. 5A and 6A , the spherical aberration (in mm) is shown for the wavelengths 587.6 nm (the d-line and indicated by a solid line), 460 nm (indicated by a dashed line), and 615 nm (indicated by a double dashed line), and the f-number (FNO.) is shown. In the remaining figures, ω is the half-field angle. In  FIGS. 5B and 6B , the astigmatism (in mm) is shown for both the sagittal image surface S and the tangential image surface T and is measured at 587.6 nm (the d-line). In  FIGS. 5C and 6C , distortion (in per cent) is measured at 587.6 nm (the d-line). In  FIGS. 5D and 6D , the lateral color (in μm) is shown for the wavelengths 460 nm and 615 nm relative to 587.6 nm (the d-line). 
     FIG. 7  shows coma aberrations (in μm) of the zoom lens of Embodiment 1 of the present invention at the telephoto end under normal conditions on the left side of  FIG. 7 , and under conditions of preventing blurring on the right side of  FIG. 7 . Specifically, the right side of  FIG. 7  shows coma aberrations during corrective movement of the second lens group G 2  in order to prevent a blurred image with a field angle of correction of 0.5 degrees at the telephoto end. Each graph of  FIG. 7  shows coma aberrations at a wavelength of 587.6 nm (the d-line), with Y denoting the distance from the optical axis to the image point, that is, the image height (in mm). As is evident from  FIG. 7 , the changes in coma aberrations during correction for preventing blurring of an image are very small in Embodiment 1. 
   Additionally, as seen from the numerical data above and the figures discussed above, Embodiment 1 provides a high performance zoom lens that can maintain excellent optical performance during the correction for preventing blurring of an image while providing a compact zoom lens. 
   Embodiment 2 
     FIG. 2  shows cross-sectional views of the zoom lens of Embodiment 2 of the present invention at the wide-angle end (WIDE) and at the telephoto end (TELE) with the zoom lens focused at infinity. 
   Table 5 below lists the lens group designation (or cover glass GC) and the surface number #, in order from the object side, the radius of curvature R (in mm) of each surface on the optical axis, the on-axis surface spacing D (in mm), except that the on-axis surface spacings that vary with zooming are listed in Table 7 below, as well as the refractive index N d  and the Abbe number ν d  at the d-line (587.6 nm) of each optical element for Embodiment 2. Note that although R is the on-axis radius of curvature, for convenience of illustration, in  FIG. 2  the lead lines from the R reference symbols extend to the surfaces being referenced but do not extend to the on-axis positions. 
   
     
       
         
             
             
             
             
             
             
           
             
               TABLE 5 
             
             
                 
             
             
               Lens 
                 
                 
                 
                 
                 
             
             
               Group 
               # 
               R 
               D 
               N d   
               
                 ν 
                 d 
               
             
             
                 
             
           
          
             
                 
             
          
         
         
             
             
             
             
             
             
          
             
               1 
                1* 
               104.7414 
               1.30 
               1.80348 
               40.4 
             
             
               1 
                2* 
               7.0001 
               3.02 
             
             
               1 
               3 
               11.8143 
               2.05 
               1.92286 
               20.9 
             
             
               1 
               4 
               21.5413 
                D4 (variable) 
             
             
               2 
               5 
               ∞ 
               0.40 
             
             
                 
                 
               (stop) 
             
             
               2 
               6 
               7.1369 
               4.51 
               1.58913 
               61.2 
             
             
               2 
               7 
               −14.1000 
               0.55 
               1.84666 
               23.8 
             
             
               2 
               8 
               −63.9180 
               1.75 
             
             
               2 
                9* 
               10.7864 
               1.05 
               1.68458 
               30.9 
             
             
               2 
               10* 
               7.4718 
               D10 (variable) 
             
             
               3 
               11* 
               30.0271 
               1.64 
               1.56865 
               58.6 
             
             
               3 
               12* 
               −219.3569 
               D12 (variable) 
             
             
               GC 
               13  
               ∞ 
               1.08 
               1.51680 
               64.2 
             
             
               GC 
               14  
               ∞ 
               0.00 
             
             
                 
             
          
         
       
     
   
   The lens surfaces with a * to the right of the surface number in Table 5 are aspheric lens surfaces, and the aspheric lens surface shape of these lens surfaces is expressed by Equation (A) above. In the zoom lens of Embodiment 2, the lens surfaces S 1  and S 2  of the first lens element L 1  in the first lens group G 1 , the lens surfaces S 9  and S 10  of the fifth lens element L 5  in the second lens group G 2 , and the lens surfaces S 11  and S 12  of the sixth lens element L 6  in the third lens group G 3  are aspheric. 
   Table 6 below lists the values of the constant K and the aspheric coefficients A 3 –A 10  used in Equation (A) above for each of the aspheric lens surfaces of Table 5. Aspheric coefficients that are not present in Table 6 are zero. An “E” in the data indicates that the number following the “E” is the exponent to the base  10 . For example, “1.0E-2” represents the number 1.0×10 −2 . 
   
     
       
         
             
             
             
             
             
             
           
             
               TABLE 6 
             
             
                 
             
           
          
             
               # 
               K 
               A 3   
               A 4   
               A 5   
               A 6   
             
             
                 
             
             
               1 
                1.0362103 
               −6.0583379E-4 
                4.0174116E-4 
                1.4730508E-4 
               −1.2629818E-4 
             
             
               2 
               −1.7614660 
               −6.0238634E-4 
                1.3114492E-3 
                1.0015586E-4 
               −1.0377569E-4 
             
             
               9 
                8.1469301 
               −1.8330303E-3 
               −6.7162676E-4  
               −2.4443340E-4 
               −2.3407670E-4 
             
             
               10 
               −6.1871509 
               −2.5314989E-3 
                3.9248926E-3 
               −1.3206635E-3 
                1.8171921E-4 
             
             
               11 
                1.0263360 
               −4.3344289E-3 
                1.7373363E-3 
                5.3891898E-5 
               −2.0677963E-4 
             
             
               12 
                0.9832135 
               −5.4290344E-3 
                3.6620029E-3 
               −1.2511728E-3 
                2.4238233E-4 
             
             
                 
             
          
         
         
             
             
             
             
             
          
             
               # 
               A 7   
               A 8   
               A 9   
               A 10   
             
             
                 
             
             
               1 
                3.2022613E-5 
               −3.9131878E-6 
                2.3608273E-7 
               −5.6498884E-9 
             
             
               2 
                1.5186198E-5 
                6.0789718E-7 
               −2.7421593E-7 
                1.5088000E-8 
             
             
               9 
                7.2735733E-5 
               −3.9351025E-6 
               −1.2144146E-6 
               −1.9886882E-7 
             
             
               10 
               −1.0381765E-5 
                1.0167000E-6 
               −1.8806586E-7 
               −2.4605965E-8 
             
             
               11 
                4.9374395E-5 
               −2.4986445E-6 
               −3.7585794E-7 
                3.3987733E-8 
             
             
               12 
               −2.7369776E-5 
                1.3461870E-6 
                1.7729211E-7 
               −2.6259422E-8 
             
             
                 
             
          
         
       
     
   
   As shown in Table 6 above, the aspheric lens surfaces of the zoom lens of Embodiment 2 are defined effectively using non-zero aspheric coefficients A i  of not only even order terms but also odd order terms. 
   In the zoom lens of Embodiment 2 the first lens group G 1 , the second lens group G 2 , and the third lens group G 3  move during zooming. Therefore, the on-axis spacings D 4 , D 10 , and D 12  change with zooming. With zooming, the focal length f, the f-number F NO , and the field angle, that is, the angle of view, 2ω, of the zoom lens also change. Table 7 below lists the values of the focal length f (in mm), the f-number F NO , the field angle 2ω (in degrees), and the variables D 4 , D 10 , and D 12  (in mm) at the wide-angle end (f=7.5 mm), at an intermediate focal length (f=14.3 mm), and at the telephoto end (f=27.5 mm) when the zoom lens is focused at infinity. 
   
     
       
         
             
             
             
             
             
             
             
           
             
                 
               TABLE 7 
             
             
                 
                 
             
             
                 
               f 
               F NO   
               2ω 
               D4 
               D10 
               D12 
             
             
                 
                 
             
           
          
             
                 
             
          
         
         
             
             
             
             
             
             
             
          
             
                 
               7.5 
               2.9 
               68.9 
               23.36 
               8.21 
               4.59 
             
             
                 
               14.3 
               3.9 
               37.2 
               9.27 
               13.48 
               6.30 
             
             
                 
               27.5 
               6.0 
               19.8 
               3.03 
               29.21 
               3.66 
             
             
                 
                 
             
          
         
       
     
   
   As set forth in Table 8 below, the zoom lens of Embodiment 2 of the present invention satisfies all of Conditions (1) through (5) above, with Condition (2) being applied to the maximum movement M associated with a field angle of correction of 0.5 degrees. 
   
     
       
         
             
             
             
           
             
               TABLE 8 
             
             
                 
             
             
               Condition No. 
               Condition 
               Value 
             
             
                 
             
           
          
             
                 
             
          
         
         
             
             
             
          
             
               (1) 
               β2t &lt; −1.5 
               −1.87 
             
             
               (2) 
               0.05 mm &lt; M (for field angle of 
               0.094 
             
             
                 
               correction of 0.5°) &lt; 0.1 mm 
             
             
               (3) 
               |β3t · (1 − β2t)| &gt; 1.9 
               2.54 
             
             
               (4) 
               ν3 − ν4 ≧ 15 
               37.4 
             
             
               (5) 
               d/fw ≦ 0.25 
               0.233 
             
             
                 
             
          
         
       
     
   
     FIGS. 8A–8D  show the spherical aberration, astigmatism, distortion, and lateral color, respectively, of the zoom lens of Embodiment 2 at the wide-angle end, and  FIGS. 9A–9D  show the spherical aberration, astigmatism, distortion, and lateral color, respectively, of the zoom lens of Embodiment 2 at the telephoto end. These are aberrations obtained when the second lens group G 2  for preventing a blurred image is at its normal position and under no influence of movement of the zoom lens, such as movement or vibration due to shaky hands holding the zoom lens. In  FIGS. 8A and 9A , the spherical aberration (in mm) is shown for the wavelengths 587.6 nm (the d-line and indicated by a solid line), 460 nm (indicated by a dashed line), and 615 nm (indicated by a double dashed line), and the f-number (FNO.) is shown. In the remaining figures, ω is the half-field angle. In  FIGS. 8B and 9B , the astigmatism (in mm) is shown for both the sagittal image surface S and the tangential image surface T and is measured at 587.6 nm (the d-line). In  FIGS. 8C and 9C , distortion (in per cent) is measured at 587.6 nm (the d-line). In  FIGS. 8D and 9D , the lateral color (in μm) is shown for the wavelengths 460 nm and 615 nm relative to 587.6 nm (the d-line). 
     FIG. 10  shows coma aberrations (in μm) of the zoom lens of Embodiment 2 of the present invention at the telephoto end under normal conditions on the left side of  FIG. 10 , and under conditions of preventing blurring on the right side of  FIG. 10 . Specifically, the right side of  FIG. 10  shows coma aberrations during corrective movement of the second lens group G 2  in order to prevent a blurred image with a field angle of correction of 0.5 degrees at the telephoto end. Each graph of  FIG. 10  shows coma aberrations at a wavelength of 587.6 nm (the d-line), with Y denoting the distance from the optical axis to the image point, that is, the image height (in mm). 
   As is evident from  FIG. 10 , the changes in aberrations during the correction for preventing blurring of an image are very small in Embodiment 2. 
   Additionally, as seen from the numerical data above and the figures discussed above, Embodiment 2 provides a high performance zoom lens that can maintain excellent optical performance during the correction for preventing blurring of an image while providing a compact zoom lens. 
   Embodiment 3 
     FIG. 3  shows cross-sectional views of the zoom lens of Embodiment 3 of the present invention at the wide-angle end (WIDE) and at the telephoto end (TELE) with the zoom lens focused at infinity. 
   Table 9 below lists the lens group designation (or cover glass GC) and the surface number #, in order from the object side, the radius of curvature R (in mm) of each surface on the optical axis, the on-axis surface spacing D (in mm), except that the on-axis surface spacings that vary with zooming are listed in Table 11 below, as well as the refractive index N d  and the Abbe number ν d  at the d-line (587.6 nm) of each optical element for Embodiment 3. Note that although R is the on-axis radius of curvature, for convenience of illustration, in  FIG. 3  the lead lines from the R reference symbols extend to the surfaces being referenced but do not extend to the on-axis positions. 
   
     
       
         
             
             
             
             
             
             
           
             
               TABLE 9 
             
             
                 
             
             
               Lens 
                 
                 
                 
                 
                 
             
             
               Group 
               # 
               R 
               D 
               N d   
               ν d   
             
             
                 
             
           
          
             
                 
             
          
         
         
             
             
             
             
             
             
          
             
               1 
               1 
               41.9926 
               0.65 
               1.88300 
               40.8 
             
             
               1 
               2 
               5.9473 
               1.49 
             
             
               1 
               3 
               12.0950 
               2.06 
               1.84666 
               23.8 
             
             
               1 
               4 
               158.7548 
               0.15 
               1.52771 
               41.8 
             
             
               1 
                5* 
               31.5220 
                D5 (variable) 
             
             
               2 
               6 
               ∞ 
               0.30 
             
             
                 
                 
               (stop) 
             
             
               2 
               7 
               5.1063 
               2.76 
               1.72916 
               54.7 
             
             
               2 
               8 
               −9.7430 
               0.86 
               1.64769 
               33.8 
             
             
               2 
               9 
               4.4783 
               0.26 
             
             
               2 
               10* 
               5.2538 
               1.22 
               1.69098 
               52.9 
             
             
               2 
               11* 
               8.3863 
               D11 (variable) 
             
             
               3 
               12  
               47.0184 
               1.57 
               1.60311 
               60.7 
             
             
               3 
               13  
               −23.0739 
               D13 (variable) 
             
             
               GC 
               14  
               ∞ 
               0.91 
               1.51680 
               64.2 
             
             
               GC 
               15  
               ∞ 
               0.00 
             
             
                 
             
          
         
       
     
   
   The lens surfaces with a * to the right of the surface number in Table 9 are aspheric lens surfaces, and the aspheric lens surface shape of these lens surfaces is expressed by Equation (A) above. In the zoom lens of Embodiment 3, the lens surface S 5  on the image side of the first lens group G 1  and the lens surfaces S 10  and S 11  of the fifth lens element L 5  in the second lens group G 2  are aspheric. 
   Table 10 below lists the values of the constant K and the aspheric coefficients A 3 –A 16  used in Equation (A) above for each of the aspheric lens surfaces of Table 9. Aspheric coefficients that are not present in Table 10 are zero. An “E” in the data indicates that the number following the “E” is the exponent to the base  10 . For example, “1.0E-2” represents the number 1.0×10 −2 . 
   
     
       
         
             
             
             
             
             
             
           
             
               TABLE 10 
             
             
                 
             
           
          
             
               # 
               K 
               A 3   
               A 4   
               A 5   
               A 6   
             
             
                 
             
             
               5 
                −6.3917124 
               −6.6690433E-4 
               3.8310677E-4 
               −4.4501592E-4 
               2.5602583E-5 
             
             
               10 
                −0.2327304 
               −2.7603257E-3 
               3.5139750E-3 
               −2.1897989E-3 
               3.8877658E-4 
             
             
               11 
               −38.5314294 
               −2.8498758E-3 
               1.4420211E-2 
               −4.9204559E-3 
               2.8859637E-4 
             
             
                 
             
             
               # 
               A 7   
               A 8   
               A 9   
               A 10   
               A 11   
             
             
                 
             
             
               5 
               6.2732747E-5 
               −2.9802226E-5 
                5.9605717E-6 
               −4.8157560E-7 
               −1.0291161E-8 
             
             
               10 
               4.3846027E-6 
               −2.9849024E-5 
               −1.3239977E-6 
               −3.2374333E-7 
                0 
             
             
               11 
               9.4694960E-5 
               −1.1408042E-5 
                7.8517603E-7 
               −1.0521525E-7 
                0 
             
             
                 
             
          
         
         
             
             
             
             
             
             
          
             
               # 
               A 12   
               A 13   
               A 14   
               A 15   
               A 16   
             
             
                 
             
             
               5 
               −5.4125769E-10  
               3.5201185E-10 
               1.1724818E-10 
               1.3592120E-11 
               −5.7630661E-12  
             
             
               10 
                0 
               0 
               0 
               0 
                0 
             
             
               11 
                0 
               0 
               0 
               0 
                0 
             
             
                 
             
          
         
       
     
   
   As shown in Table 10 above, the aspheric lens surfaces of the zoom lens of Embodiment 3 are defined effectively using non-zero aspheric coefficients A i  of not only even order terms but also odd order terms. Additionally, the image side lens surface S 5  of lens element L 22  of Embodiment 3 is defined using non-zero aspheric coefficients A i  in the third to sixteenth order terms in Equation (A) above. 
   In the zoom lens of Embodiment 3 the first lens group G 1 , the second lens group G 2 , and the third lens group G 3  move during zooming. Therefore, the on-axis spacings D 5 , D 11 , and D 13  change with zooming. With zooming, the focal length f, the f-number F NO , and the field angle, that is, the angle of view, 2ω, of the zoom lens also change. Table 11 below lists the values of the focal length f (in mm), the f-number F NO , the field angle 2ω (in degrees), and the variables D 5 , D 11 , and D 13  (in mm) at the wide-angle end (f=6.6 mm), at an intermediate focal length (f=11.7 mm), and at the telephoto end (f=20.8 mm) when the zoom lens is focused at infinity. 
   
     
       
         
             
             
             
             
             
             
             
           
             
                 
               TABLE 11 
             
             
                 
                 
             
             
                 
               f 
               F NO   
               2ω 
               D5 
               D11 
               D13 
             
             
                 
                 
             
           
          
             
                 
             
          
         
         
             
             
             
             
             
             
             
          
             
                 
               6.6 
               2.9 
               60.9 
               14.88 
               5.23 
               4.32 
             
             
                 
               11.7 
               3.9 
               34.6 
               6.20 
               10.39 
               3.97 
             
             
                 
               20.8 
               5.6 
               19.8 
               1.70 
               19.46 
               2.49 
             
             
                 
                 
             
          
         
       
     
   
   As set forth in Table 12 below, the zoom lens of Embodiment 3 of the present invention satisfies all of Conditions (1) through (5) above, with Condition (2) being applied to the maximum movement M associated with a field angle of correction of 0.5 degrees. 
   
     
       
         
             
             
             
           
             
               TABLE 12 
             
             
                 
             
             
               Condition No. 
               Condition 
               Value 
             
             
                 
             
           
          
             
                 
             
          
         
         
             
             
             
          
             
               (1) 
               β2t &lt; −1.5 
               −1.60 
             
             
               (2) 
               0.05 mm &lt; M (for field angle of 
               0.080 
             
             
                 
               correction of 0.5°) &lt; 0.1 mm 
             
             
               (3) 
               |β3t · (1 − β2t)| &gt; 1.9 
               2.26 
             
             
               (4) 
               ν3 − ν4 ≧ 15 
               20.9 
             
             
               (5) 
               d/fw ≦ 0.25 
               0.039 
             
             
                 
             
          
         
       
     
   
     FIGS. 11A–11D  show the spherical aberration, astigmatism, distortion, and lateral color, respectively, of the zoom lens of Embodiment 3 at the wide-angle end, and  FIGS. 12A–12D  show the spherical aberration, astigmatism, distortion, and lateral color, respectively, of the zoom lens of Embodiment 3 at the telephoto end. These are aberrations obtained when the second lens group G 2  for preventing a blurred image is at its normal position and under no influence of movement of the zoom lens, such as movement or vibration due to shaky hands holding the zoom lens. In  FIGS. 11A and 12A , the spherical aberration (in mm) is shown for the wavelengths 587.6 nm (the d-line and indicated by a solid line), 460 nm (indicated by a dashed line), and 615 nm (indicated by a double dashed line), and the f-number (FNO.) is shown. In the remaining figures, ω is the half-field angle. In  FIGS. 11B and 12B , the astigmatism (in mm) is shown for both the sagittal image surface S and the tangential image surface T and is measured at 587.6 nm (the d-line). In  FIGS. 11C and 12C , distortion (in per cent) is measured at 587.6 nm (the d-line). In  FIGS. 11D and 12D , the lateral color (in μm) is shown for the wavelengths 460 nm and 615 nm relative to 587.6 nm (the d-line). 
     FIG. 13  shows coma aberrations (in μm) of the zoom lens of Embodiment 3 of the present invention at the telephoto end under normal conditions on the left side of  FIG. 13 , and under conditions of preventing blurring on the right side of  FIG. 13 . Specifically, the right side of  FIG. 13  shows coma aberrations during corrective movement of the second lens group G 2  in order to prevent a blurred image with a field angle of correction of 0.5 degrees at the telephoto end. Each graph of  FIG. 13  shows coma aberrations at a wavelength of 587.6 nm (the d-line), with Y denoting the distance from the optical axis to the image point, that is, the image height (in mm). 
   As is evident from  FIG. 13 , the changes in aberrations during the correction for preventing blurring of an image are very small in Embodiment 3. 
   Additionally, as seen from the numerical data above and the figures discussed above, Embodiment 3 provides a high performance zoom lens that can maintain excellent optical performance during the correction for preventing blurring of an image while providing a compact zoom lens. 
   Embodiment 4 
     FIG. 4  shows cross-sectional views of the zoom lens of Embodiment 4 of the present invention at the wide-angle end (WIDE) and at the telephoto end (TELE) with the zoom lens focused at infinity. 
   Table 13 below lists the lens group designation (or cover glass GC) and the surface number #, in order from the object side, the radius of curvature R (in mm) of each surface on the optical axis, the on-axis surface spacing D (in mm), except that the on-axis surface spacings that vary with zooming are listed in Table 15 below, as well as the refractive index N d  and the Abbe number ν d  at the d-line (587.6 nm) of each optical element for Embodiment 4. Note that although R is the on-axis radius of curvature, for convenience of illustration, in  FIG. 4  the lead lines from the R reference symbols extend to the surfaces being referenced but do not extend to the on-axis positions. 
   
     
       
         
             
             
             
             
             
             
           
             
               TABLE 13 
             
             
                 
             
             
               Lens 
                 
                 
                 
                 
                 
             
             
               Group 
               # 
               R 
               D 
               N d   
               ν d   
             
             
                 
             
           
          
             
                 
             
          
         
         
             
             
             
             
             
             
          
             
               1 
                1* 
               3999.3150 
               1.17 
               1.80348 
               40.4 
             
             
               1 
                2* 
               6.5987 
               1.70 
             
             
               1 
               3 
               10.2182 
               2.41 
               1.84666 
               23.8 
             
             
               1 
               4 
               30.3780 
                D4 (variable) 
             
             
               2 
               5 
               ∞ 
               0.25 
             
             
                 
                 
               (stop) 
             
             
               2 
               6 
               6.5100 
               4.16 
               1.71300 
               53.9 
             
             
               2 
               7 
               −6.5100 
               0.56 
               1.64769 
               33.8 
             
             
               2 
               8 
               7.4633 
               0.22 
             
             
               2 
                9* 
               7.1480 
               1.10 
               1.56865 
               58.6 
             
             
               2 
               10* 
               9.1076 
               D10 (variable) 
             
             
               3 
               11  
               43.6721 
               1.65 
               1.72916 
               54.7 
             
             
               3 
               12  
               −43.6721 
               D12 (variable) 
             
             
               GC 
               13  
               ∞ 
               1.12 
               1.51680 
               64.2 
             
             
               GC 
               14  
               ∞ 
               0.00 
             
             
                 
             
          
         
       
     
   
   The lens surfaces with a * to the right of the surface number in Table 13 are aspheric lens surfaces, and the aspheric lens surface shape of these lens surfaces is expressed by Equation (A) above. In the zoom lens of Embodiment 4, the lens surfaces S 1  and S 2  of the first lens element L 1  in the first lens group G 1  and the lens surfaces S 9  and S 10  of the fifth lens element L 5  in the second lens group G 2  are aspheric. 
   Table 14 below lists the values of the constant K and the aspheric coefficients A 3 –A 10  used in Equation (A) above for each of the aspheric lens surfaces of Table 13. Aspheric coefficients that are not present in Table 14 are zero. An “E” in the data indicates that the number following the “E” is the exponent to the base  10 . For example, “1.0E-2” represents the number 1.0×10 −2 . 
   
     
       
         
             
             
             
             
             
             
           
             
               TABLE 14 
             
             
                 
             
           
          
             
               # 
               K 
               A 3   
               A 4   
               A 5   
               A 6   
             
             
                 
             
             
               1 
                25.7113165 
               −4.0925531E-4 
               7.1312710E-4 
               −3.6146367E-4 
                9.6496028E-5 
             
             
               2 
                −5.8693543 
               −7.4084668E-4 
               3.9602579E-3 
               −6.4870210E-4 
               −3.6677763E-5 
             
             
               9 
                0.2865826 
               −1.9282247E-3 
               3.0786842E-3 
               −3.0673252E-3 
                1.3281493E-3 
             
             
               10 
               −11.3058958 
               −2.0573076E-3 
               6.8368318E-3 
               −2.9318194E-3 
                7.9961646E-4 
             
             
                 
             
          
         
         
             
             
             
             
             
          
             
               # 
               A 7   
               A 8   
               A 9   
               A 10   
             
             
                 
             
             
               1 
               −1.4125918E-5 
                1.1823425E-6 
               −6.2272650E-8 
                2.0199212E-9 
             
             
               2 
                2.1995111E-5 
               −1.0545756E-7 
               −5.5113334E-7 
                4.7734785E-8 
             
             
               9 
               −1.5207105E-4 
               −1.3042089E-4 
                5.0845770E-5 
               −5.9539596E-6 
             
             
               10 
               −3.8139474E-6 
               −8.5214063E-6 
               −2.8131818E-5 
                6.9839692E-6 
             
             
                 
             
          
         
       
     
   
   As shown in Table 14 above, the aspheric lens surfaces of the zoom lens of Embodiment 4 are defined effectively using non-zero aspheric coefficients A i  of not only even order terms but also odd order terms. 
   In the zoom lens of Embodiment 4 the first lens group G 1 , the second lens group G 2 , and the third lens group G 3  move during zooming. Therefore, the on-axis spacings D 4 , D 10 , and D 12  change with zooming. With zooming, the focal length f, the f-number F NO , and the field angle, that is, the angle of view, 2ω, of the zoom lens also change. Table 15 below lists the values of the focal length f (in mm), the f-number F NO , the field angle 2ω (in degrees), and the variables D 4 , D 10 , and D 12  (in mm) at the wide-angle end (f=8.2 mm) and at the telephoto end (f=23.3 mm) when the zoom lens is focused at infinity. 
   
     
       
         
             
             
             
             
             
             
             
           
             
                 
               TABLE 15 
             
             
                 
                 
             
             
                 
               f 
               F NO   
               2ω 
               D4 
               D10 
               D12 
             
             
                 
                 
             
           
          
             
                 
             
          
         
         
             
             
             
             
             
             
             
          
             
                 
               8.2 
               2.9 
               64.0 
               17.31 
               7.36 
               5.39 
             
             
                 
               23.3 
               5.1 
               24.0 
               2.91 
               23.06 
               3.85 
             
             
                 
                 
             
          
         
       
     
   
   As set forth in Table 16 below, the zoom lens of Embodiment 4 of the present invention satisfies all of Conditions (1) through (5) above, with Condition (2) being applied to the maximum movement M associated with a field angle of correction of 0.5 degrees. 
   
     
       
         
             
             
             
           
             
               TABLE 16 
             
             
                 
             
             
               Condition No. 
               Condition 
               Value 
             
             
                 
             
           
          
             
                 
             
          
         
         
             
             
             
          
             
               (1) 
               β2t &lt; −1.5 
               −1.57 
             
             
               (2) 
               0.05 mm &lt; M (for field angle of 
               0.095 
             
             
                 
               correction of 0.5°) &lt; 0.1 mm 
             
             
               (3) 
               |β3t · (1 − β2t)| &gt; 1.9 
               2.13 
             
             
               (4) 
               ν3 − ν4 ≧ 15 
               20.1 
             
             
               (5) 
               d/fw ≦ 0.25 
               0.027 
             
             
                 
             
          
         
       
     
   
     FIGS. 14A–14D  show the spherical aberration, astigmatism, distortion, and lateral color, respectively, of the zoom lens of Embodiment 4 at the wide-angle end, and  FIGS. 15A–15D  show the spherical aberration, astigmatism, distortion, and lateral color, respectively, of the zoom lens of Embodiment 4 at the telephoto end. These are aberrations obtained when the second lens group G 2  for preventing a blurred image is at its normal position and under no influence of movement of the zoom lens, such as movement or vibration due to shaky hands holding the zoom lens. In  FIGS. 14A and 15A , the spherical aberration (in mm) is shown for the wavelengths 587.6 nm (the d-line and indicated by a solid line), 460 nm (indicated by a dashed line), and 615 nm (indicated by a double dashed line), and the f-number (FNO.) is shown. In the remaining figures, ω is the half-field angle. In  FIGS. 14B and 15B , the astigmatism (in mm) is shown for both the sagittal image surface S and the tangential image surface T and is measured at 587.6 nm (the d-line). In  FIGS. 14C and 15C , distortion (in per cent) is measured at 587.6 nm (the d-line). In  FIGS. 14D and 15D , the lateral color (in μm) is shown for the wavelengths 460 nm and 615 nm relative to 587.6 nm (the d-line). 
     FIG. 16  shows coma aberrations (in μm) of the zoom lens of Embodiment 4 of the present invention at the telephoto end under normal conditions on the left side of  FIG. 16 , and under conditions of preventing blurring on the right side of  FIG. 16 . Specifically, the right side of  FIG. 16  shows coma aberrations during corrective movement of the second lens group G 2  in order to prevent a blurred image with a field angle of correction of 0.5 degrees at the telephoto end. Each graph of  FIG. 16  shows coma aberrations at a wavelength of 587.6 nm (the d-line), with Y denoting the distance from the optical axis to the image point, that is, the image height (in mm). 
   As is evident from  FIG. 16 , the changes in aberrations during the correction for preventing blurring of an image are very small in Embodiment 4. 
   Additionally, as seen from the numerical data above and the figures discussed above, Embodiment 4 provides a high performance zoom lens that can maintain excellent optical performance during the correction for preventing blurring of an image while providing a compact zoom lens. 
   The present invention is not limited to the aforementioned embodiments, as it will be immediately apparent that various alternative implementations are possible. For instance, values such as the radius of curvature R of each of the lens components and lens elements, the shapes of the aspheric lens surfaces, the surface spacings D, the refractive index N d , and Abbe number ν d  of the lens elements are not limited to those indicated in each of the aforementioned embodiments, as other values can be adopted. Such variations are not to be regarded as a departure from the spirit and scope of the present invention. Rather, the scope of the present invention shall be defined as set forth in the following claims and their legal equivalents. All such modifications as would be obvious to one skilled in the art are intended to be included within the scope of the following claims.