Variable magnification optical system for projection and projection-type display apparatus
A variable magnification optical system for projection includes a first-lens-group having negative refractive power, and which is fixed when magnification of the system is changed, a second-lens-group having negative refractive power, and which is movable when magnification of the system is changed, a third-lens-group having positive refractive power, and which is movable when magnification of the system is changed, and a fourth-lens-group having positive refractive power, and which is fixed when magnification of the system is changed, which are arranged from the magnification side of the system in the order mentioned. The reduction side of the variable magnification optical system is telecentric, and formula 1.5<Bf/fw is satisfied, where Bf: back focus in air of entire system at wide angle end, and fw: focal length of entire system at wide angle end.
1. A variable magnification optical system for projection consisting of:
a first lens group having negative refractive power, and which is fixed when magnification of the variable magnification optical system is changed;
a second lens group having negative refractive power, and which moves when magnification of the variable magnification optical system is changed;
a third lens group having positive refractive power, and which moves when magnification of the variable magnification optical system is changed; and
a fourth lens group having positive refractive power, and which is fixed when magnification of the variable magnification optical system is changed, the first lens group, the second lens group, the third lens group and the fourth lens group being arranged from the magnification side of the variable magnification optical system in the order mentioned above,
wherein the reduction side of the variable magnification optical system is telecentric, and
wherein the following formula (11) is satisfied:
1.5 <Bf/fw (11),
where
Bf: back focus in air of entire system at wide angle end, and
fw: focal length of entire system at wide angle end.
2. A variable magnification optical system for projection, as defined in claim 1 , wherein the following formula (16) is satisfied:
1.8 <Bf/Imφ (16),
where
Bf: back focus in air of entire system at wide angle end, and
Imφ: diameter of a maximum effective image circle on the reduction side of the variable magnification optical system.
3. A variable magnification optical system for projection, as defined in claim 1 , wherein the following formula (13) is satisfied:
fMK/fw<− 3.5 (13),
where
fMK: focal length of a most-magnification-side lens group among a plurality of lens groups that move when magnification of the variable magnification optical system is changed, and
fw: focal length of entire system at wide angle end.
4. A variable magnification optical system for projection, as defined in claim 1 , wherein the following formula (14) is satisfied:
1.5 <fMS/fw< 10.0 (14),
where
fMS: focal length of a most-reduction-side lens group among a plurality of lens groups that move when magnification of the variable magnification optical system is changed, and
fw: focal length of entire system at wide angle end.
5. A variable magnification optical system for projection, as defined in claim 1 , wherein the following formula (15) is satisfied:
1.0 <fE/fw< 5.0 (15),
where
fE: focal length of the lens group having positive refractive power that is arranged on the most reduction side in the entire system of the variable magnification optical system, and which is fixed when magnification of the variable magnification optical system is changed, and
fw: focal length of entire system at wide angle end.
6. A variable magnification optical system for projection, as defined in claim 1 , wherein the variable magnification optical system is a zoom lens.
7. A variable magnification optical system for projection, as defined in claim 6 , wherein at least one reduction-side lens in the first lens group is movable in the direction of an optical axis in focusing when a projection distance has changed.
8. A projection-type display apparatus comprising:
a light source;
a light valve; and
a variable magnification optical system for projection, as defined in claim 1 ,
wherein an optical image formed by light modulated by the light valve is projected onto a screen by the variable magnification optical system for projection.
9. A variable magnification optical system for projection comprising:
a first lens group having negative refractive power, and which is fixed when magnification of the variable magnification optical system is changed;
a second lens group having negative refractive power, and which moves when magnification of the variable magnification optical system is changed;
a third lens group having positive refractive power, and which moves when magnification of the variable magnification optical system is changed; and
a fourth lens group having positive refractive power, and which is fixed when magnification of the variable magnification optical system is changed, the first lens group, the second lens group, the third lens group and the fourth lens group being arranged from the magnification side of the variable magnification optical system in the order mentioned above,
wherein the reduction side of the variable magnification optical system is telecentric, and
wherein the following formula (12) is satisfied:
−10.0 <f 1 /fw< 0.0 (12),
where
f1: focal length of the first lens group, and
fw: focal length of entire system at wide angle end.
10. A variable magnification optical system for projection, as defined in claim 9 , wherein the following formula (16) is satisfied:
1.8 <Bf/Imφ (16),
where
Bf: back focus in air of entire system at wide angle end, and
Imφ: diameter of a maximum effective image circle on the reduction side of the variable magnification optical system.
11. A variable magnification optical system for projection, as defined in claim 9 , wherein the following formula (13) is satisfied:
fMK/fw<− 3.5 (13),
where
fMK: focal length of a most-magnification-side lens group among a plurality of lens groups that move when magnification of the variable magnification optical system is changed, and
fw: focal length of entire system at wide angle end.
12. A variable magnification optical system for projection, as defined in claim 9 , wherein the following formula (14) is satisfied:
1.5 <fMS/fw< 10.0 (14),
where
fMS: focal length of a most-reduction-side lens group among a plurality of lens groups that move when magnification of the variable magnification optical system is changed, and
fw: focal length of entire system at wide angle end.
13. A variable magnification optical system for projection, as defined in claim 9 , wherein the following formula (15) is satisfied:
1.0 <fE/fw< 5.0 (15),
where
fE: focal length of the lens group having positive refractive power that is arranged on the most reduction side in the entire system of the variable magnification optical system, and which is fixed when magnification of the variable magnification optical system is changed, and
fw: focal length of entire system at wide angle end.
14. A variable magnification optical system for projection, as defined in claim 9 , wherein the variable magnification optical system is a zoom lens.
15. A variable magnification optical system for projection, as defined in claim 14 , wherein at least one reduction-side lens in the first lens group is movable in the direction of an optical axis in focusing when a projection distance has changed.
16. A projection-type display apparatus comprising:
a light source;
a light valve; and
a variable magnification optical system for projection, as defined in claim 9 ,
wherein an optical image formed by light modulated by the light valve is projected onto a screen by the variable magnification optical system for projection.
17. A variable magnification optical system for projection comprising:
a first lens group having negative refractive power, and which is arranged on the most magnification side of the variable magnification optical system, and which is fixed when magnification of the variable magnification optical system is changed;
a final lens group having positive refractive power, and which is arranged on the most reduction side of the variable magnification optical system, and which is fixed when magnification of the variable magnification optical system is changed; and
a plurality of lens groups that are arranged between the first lens group and the final lens group, and which move when magnification of the variable magnification optical system is changed,
wherein a most-magnification-side lens group among the plurality of lens groups that move when magnification of the variable magnification optical system is changed has negative refractive power, and
wherein a most-reduction-side lens group among the plurality of lens groups that move when magnification of the variable magnification optical system is changed has positive refractive power, and
wherein the reduction side of the variable magnification optical system is telecentric, and
wherein the following formulas (11) and (12′) are satisfied:
1.5 <Bf/fw (11);
and
−10.0 <f 1 /fw<− 2.0 (12′),
where
Bf: back focus in air of entire system at wide angle end,
fw: focal length of entire system at wide angle end, and
f1: focal length of the first lens group.
18. A variable magnification optical system for projection, as defined in claim 17 , wherein the following formula (16) is satisfied:
1.8 <Bf/Imφ (16),
where
Bf: back focus in air of entire system at wide angle end, and
Imφ: diameter of a maximum effective image circle on the reduction side of the variable magnification optical system.
19. A variable magnification optical system for projection, as defined in claim 17 , wherein the following formula (13) is satisfied:
fMK/fw<− 3.5 (13),
where
fMK: focal length of a most-magnification-side lens group among a plurality of lens groups that move when magnification of the variable magnification optical system is changed, and
fw: focal length of entire system at wide angle end.
20. A variable magnification optical system for projection, as defined in claim 17 , wherein the following formula (14) is satisfied:
1.5 <fMS/fw< 10.0 (14),
where
fMS: focal length of a most-reduction-side lens group among a plurality of lens groups that move when magnification of the variable magnification optical system is changed, and
fw: focal length of entire system at wide angle end.
21. A variable magnification optical system for projection, as defined in claim 17 , wherein the following formula (15) is satisfied:
1.0 <fE/fw< 5.0 (15),
where
fE: focal length of the lens group having positive refractive power that is arranged on the most reduction side in the entire system of the variable magnification optical system, and which is fixed when magnification of the variable magnification optical system is changed, and
fw: focal length of entire system at wide angle end.
22. A variable magnification optical system for projection, as defined in claim 17 , wherein the plurality of lens groups that move when magnification of the variable magnification optical system is changed are three lens groups, and
wherein a second lens group from the magnification side among the three lens groups has positive refractive power, and
wherein the following formula (17) is satisfied:
5.0 <fMm/fw (17),
where
fMm: focal length of the second lens group from the magnification side among the three lens groups, and
fw: focal length of entire system at wide angle end.
23. A projection-type display apparatus comprising:
a light source;
a light valve; and
a variable magnification optical system for projection, as defined in claim 17 ,
wherein an optical image formed by light modulated by the light valve is projected onto a screen by the variable magnification optical system for projection.
24. A variable magnification optical system for projection comprising:
a first lens group having negative refractive power, and which is arranged on the most magnification side of the variable magnification optical system, and which is fixed when magnification of the variable magnification optical system is changed;
a final lens group having positive refractive power, and which is arranged on the most reduction side of the variable magnification optical system, and which is fixed when magnification of the variable magnification optical system is changed; and
a plurality of lens groups that are arranged between the first lens group and the final lens group, and which move when magnification of the variable magnification optical system is changed,
wherein a most-magnification-side lens group among the plurality of lens groups that move when magnification of the variable magnification optical system is changed has negative refractive power, and
wherein a most-reduction-side lens group among the plurality of lens groups that move when magnification of the variable magnification optical system is changed has positive refractive power, and
wherein the reduction side of the variable magnification optical system is telecentric, and
wherein a stop is arranged in the final lens group, thereby setting the numerical aperture of the variable magnification optical system constant through the entire range of variable magnification.
25. A variable magnification optical system for projection, as defined in claim 24 , wherein the following formula (16) is satisfied:
1.8 <Bf/Imφ (16),
where
Bf: back focus in air of entire system at wide angle end, and
Imφ: diameter of a maximum effective image circle on the reduction side of the variable magnification optical system.
26. A variable magnification optical system for projection, as defined in claim 24 , wherein the following formula (13) is satisfied:
fMK/fw<− 3.5 (13),
where
fMK: focal length of a most-magnification-side lens group among a plurality of lens groups that move when magnification of the variable magnification optical system is changed, and
fw: focal length of entire system at wide angle end.
27. A variable magnification optical system for projection, as defined in claim 24 , wherein the following formula (14) is satisfied:
1.5 <fMS/fw< 10.0 (14),
where
fMS: focal length of a most-reduction-side lens group among a plurality of lens groups that move when magnification of the variable magnification optical system is changed, and
fw: focal length of entire system at wide angle end.
28. A variable magnification optical system for projection, as defined in claim 24 , wherein the following formula (15) is satisfied:
1.0 <fE/fw< 5.0 (15),
where
fE: focal length of the lens group having positive refractive power that is arranged on the most reduction side in the entire system of the variable magnification optical system, and which is fixed when magnification of the variable magnification optical system is changed, and
fw: focal length of entire system at wide angle end.
29. A variable magnification optical system for projection, as defined in claim 24 , wherein the plurality of lens groups that move when magnification of the variable magnification optical system is changed are three lens groups, and
wherein a second lens group from the magnification side among the three lens groups has positive refractive power, and
wherein the following formula (17) is satisfied:
5.0 <fMm/fw (17),
where
fMm: focal length of the second lens group from the magnification side among the three lens groups, and
fw: focal length of entire system at wide angle end.
30. A variable magnification optical system for projection, as defined in claim 24 , wherein the variable magnification optical system functions as a zoom lens by changing at least one distance between said lens groups.
31. A projection-type display apparatus comprising:
a light source;
a light valve; and
a variable magnification optical system for projection, as defined in claim 24 ,
wherein an optical image formed by light modulated by the light valve is projected onto a screen by the variable magnification optical system for projection.
32. A variable magnification optical system for projection comprising:
a first lens group having negative refractive power, and which is arranged on the most magnification side of the variable magnification optical system, and which is fixed when magnification of the variable magnification optical system is changed;
a final lens group having positive refractive power, and which is arranged on the most reduction side of the variable magnification optical system, and which is fixed when magnification of the variable magnification optical system is changed; and
a plurality of lens groups that are arranged between the first lens group and the final lens group, and which move when magnification of the variable magnification optical system is changed, and the number of the plurality of lens groups being less than or equal to three,
wherein the reduction side of the variable magnification optical system is telecentric, and
wherein a stop is arranged in the final lens group, thereby setting the numerical aperture of the variable magnification optical system constant through the entire range of variable magnification, and
wherein the following formulas (18) and (19) are satisfied:
5.0 <Bf×Zr 2 /Imφ (18),
and
L/Imφ< 12.5 (19),
where
Bf: back focus in air of entire system at wide angle end,
Zr: ratio of magnification at telephoto end to magnification at wide angle end,
Imφ: diameter of a maximum effective image circle on the reduction side of the variable magnification optical system, and
L: total lens thickness when projection distance is infinity.
33. A variable magnification optical system for projection, as defined in claim 32 , wherein a most-magnification-side lens group among the plurality of lens groups that move when magnification of the variable magnification optical system is changed, the number of the plurality of lens groups being less than or equal to three, has negative refractive power.
34. A variable magnification optical system for projection, as defined in claim 32 , wherein the following formula (11) is satisfied:
1.5 <Bf/fw (11),
where
Bf: back focus in air of entire system at wide angle end, and
fw: focal length of entire system at wide angle end.
35. A variable magnification optical system for projection, as defined in claim 32 , wherein the variable magnification optical system functions as a zoom lens by changing at least one distance between said lens groups.
36. A variable magnification optical system for projection, as defined in claim 32 , wherein the following formula (20) is satisfied:
1.4 <Zr (20),
where
Zr: ratio of magnification at telephoto end to magnification at wide angle end.
37. A projection-type display apparatus comprising:
a light source;
a light valve; and
a variable magnification optical system for projection, as defined in claim 32 ,
wherein an optical image formed by light modulated by the light valve is projected onto a screen by the variable magnification optical system for projection.