Variable power optical system and image pickup apparatus having the same
A variable power optical system includes, in order from the object side, a first lens group having negative refractive power, a variable power group having positive refractive power, and a final lens group having positive refractive power. The variable power group is provided with, in order from the object side, a first lens element having positive refractive power, a second lens element, and a third lens element. The second lens element has a convex shape on the object side. The final lens group includes a positive lens. The variable power optical system satisfies the following conditions: 10≦ VdLg ≦45 −1.0<( R 2 a−R 2 b )/( R 2 a+R 2 b )<1.0 where VdLg is the Abbe number of the positive lens of the final lens group with respect to the d line, R 2 a is the curvature radius of the object-side surface of the second lens element, and R 2 b is the curvature radius of the image-side surface of the third lens element.
1. A variable power optical system comprising, in order from the object side, a first lens group with negative refractive power, a second lens group with positive refractive power, a third lens group with negative refractive power, and a fourth lens group with positive refractive power, wherein
the second lens group comprises at least one positive lens and a negative lens,
the fourth lens group comprises a positive lens, and
the variable power optical system satisfies the following conditions:
10 ≦Vd 4 g≦ 45
2.2 ≦|α/f 1|+(α/ f 2)−0.026 ×Vd 4 g≦ 5.0
10 ≦Vd max− Vd min≦80
where α=(FLw×FLt) 1/2 , FLw denotes the focal length of the whole of the variable power optical system in the wide angle end position, FLt denotes the focal length of the whole of the variable power optical system in the telephoto end position, f 1 denotes the focal length of the first lens group, f 2 denotes the focal length of the second lens group, Vd 4 g denotes the Abbe' Number of the positive lens of the fourth lens group with respect to the d line, Vdmax denotes the Abbe's Number of a glass material having the lowest dispersion characteristic of those of glass materials which are used for lenses of the second lens group, with respect to the d line, and Vdmin denotes the Abbe's Number of a glass material having the highest dispersion characteristic of those of glass materials which are used for lenses of the second lens group, with respect to the d line.
2. A variable power optical system according to claim 1 , wherein the following condition is satisfied:
0.45 ≦|f 1|/(FL w ×FL t ) 1/2 ≦1.60
where f 1 denotes the focal length of the first lens group, FLw denotes the focal length of the whole of the variable power optical system in the wide angle end position, and FLt denotes the focal length of the whole of the variable power optical system in the telephoto end position.
3. A variable power optical system according to claim 1 , wherein the following condition is satisfied:
0.30 ≦f 2/(FL w ×FL t ) 1/2 ≦1.10
where f 2 denotes the focal length of the second lens group, FLw denotes the focal length of the whole of the variable power optical system in the wide angle end position, and FLt denotes the focal length of the whole of the variable power optical system in the telephoto end position.
4. A variable power optical system according to claim 1 , wherein the second lens group comprises a first lens element with positive refractive power, a second lens element, and a third lens element in that order from the object side, the first lens element has a convex shape on the object side, and the following condition is satisfied:
−1.0<( R 2 a−R 2 b )/( R 2 a+R 2 b )<1.0
where R 2 a denotes the radius of curvature of the object-side surface of the second lens element, and R 2 b denotes the radius of curvature of the image-side surface of the third lens element.
5. A variable power optical system according to claim 1 , wherein the positive lens in the fourth lens group has a concave shape on the object side, and the following condition is satisfied:
0<( R 4 a−R 4 b )/( R 4 a+R 4 b )<1.0
where R 4 a denotes the radius of curvature of the object-side surface of the positive lens in the fourth lens group, and R 4 b denotes the radius of curvature of the image-side surface of the positive lens in the fourth lens group.
6. An image pickup apparatus comprising the variable power optical systems according to claim 1 and an imaging sensor.
7. An image pickup apparatus according to claim 6 , wherein the image pickup apparatus comprises a variable power optical system forming an optical image of an object, and an imaging sensor,
the imaging sensor transforms the optical image formed by the variable power optical system into electrical image signals,
the variable power optical system comprises, in order from the object side, a first lens group with negative refractive power, a second lens group with positive refractive power, a third lens group with negative refractive power, and a fourth lens group with positive refractive power,
the second lens group includes at least one positive lens and a negative lens,
the fourth lens group includes a positive lens, and
the following conditions are satisfied:
10 ≦Vd 4 g≦ 45
0.27≦|IH/ f 1|+(IH/ f 2)−0.05 ×Vd 4 g≦ 3.0
10 ≦Vd max− Vd min≦80
where IH denotes the image height of the imaging sensor, f 1 denotes the focal length of the first lens group, f 2 denotes the focal length of the second lens group, Vd 4 g denotes the Abbe' Number of the positive lens of the fourth lens group with respect to the d line, Vdmax denotes the Abbe's Number of a glass material having the lowest dispersion characteristic of those of glass materials which are used for lenses of the second lens group, with respect to the d line, and Vdmin denotes the Abbe's Number of a glass material having the highest dispersion characteristic of those of glass materials which are used for lenses of the second lens group, with respect to the d line.
8. An image pickup apparatus according to claim 6 , wherein the following condition is satisfied:
1.0 ≦|f 1|/IH≦2.8
where f 1 denotes the focal length of the first lens group, and IH denotes the image height of the imaging sensor.
9. An image pickup apparatus according to claim 6 , wherein the following condition is satisfied:
0.2 ≦|f 2|/IH≦1.8
where f 2 denotes the focal length of the second lens group, and IH denotes the image height of the imaging sensor.
10. An image pickup apparatus according to claim 6 , wherein the second lens group comprises a first lens element with positive refractive power, a second lens element, and a third lens element in that order from the object side, the first lens element has a convex shape on the object side, and the following condition is satisfied:
−1.0<( R 2 a−R 2 b )/( R 2 a+R 2 b )<1.0
where R 2 a denotes the radius of curvature of the object-side surface of the second lens element, and R 2 b denotes the radius of curvature of the image-side surface of the third lens element.
11. An image pickup apparatus according to claim 6 , wherein the positive lens in the fourth lens group has a concave shape on the object side, and the following condition is satisfied:
0<( R 4 a−R 4 b )/( R 4 a+R 4 b )<1.0
where R 4 a denotes the radius of curvature of the object-side surface of the positive lens in the fourth lens group, and R 4 b denotes the radius of curvature of the image-side surface of the positive lens in the fourth lens group.
12. A variable power optical system according to claim 1 , wherein the first lens group is made to keep still in changing magnification, the positive lens in the fourth lens group has a concave shape on the object side, and the following condition is satisfied:
0<( R 4 a−R 4 b )/( R 4 a+R 4 b )<1.0
where R 4 a denotes the radius of curvature of the object-side surface of the positive lens in the fourth lens group, and R 4 b denotes the radius of curvature of the image-side surface of the positive lens in the fourth lens group.
13. A variable power optical system according to claim 12 , wherein the fourth lens group is made to keep still in changing magnification.