Lens for projection and projection-type display apparatus
In constructing a lens for projection substantially consisting of seven lenses, and the reduction side of which is telecentric, a first-lens-group is composed of two lenses including at least one negative lens. A second-lens-group is composed of a positive second-group first-lens having a convex surface facing the magnification side, a negative second-group second-lens having a concave surface facing the magnification side, a positive second-group third-lens having a convex surface facing the reduction side, a positive second-group fourth-lens, and a positive second-group fifth-lens in this order from the magnification side. The formulas (A) and (B) are satisfied: 1.2≦ Bf/f ≦2.5 (A); and f 23/ f ≦1.5 (B), where Bf is a back focus in air of an entire lens system, f is the focal length of the entire lens system, and f23 is the focal length of an air lens between a reduction-side surface of the second-group second-lens and a magnification-side surface of the second-group third-lens.
1. A lens for projection substantially consisting of:
a first lens group; and
a second lens group, which are arranged in this order from the magnification side of the lens for projection,
wherein the lens for projection is composed of seven lenses, and
wherein the reduction side of the lens for projection is telecentric, and
wherein the first lens group is composed of two lenses including at least one negative lens, and
wherein the second lens group is composed of a positive second-group first lens having a convex surface facing the magnification side, a negative second-group second lens having a concave surface facing the magnification side, a positive second-group third lens having a convex surface facing the reduction side of the lens for projection, a positive second-group fourth lens, and a positive second-group fifth lens, which are arranged in this order from the magnification side, and
wherein a space is provided between a reduction-side surface of the second-group second lens and a magnification-side surface of the second-group third lens, and
wherein the following formulas (A) and (B) are satisfied:
1.2≦ Bf/f 2.5 (A);
and
f 23 /f≦− 1.5 (B),
where
Bf is a back focus in air of an entire lens system,
f is the focal length of the entire lens system, and
f23 is the focal length of an air lens formed between the reduction-side surface of the second-group second lens and the magnification-side surface of the second-group third lens.
2. A lens for projection, as defined in claim 1 , wherein the following formula (C) is satisfied:
−0.8≦ f 2 F/f 1 F≦− 0.2 (C),
where
f2F is the focal length of a magnification-side surface of the second-group second lens, and
f1F is the focal length of a magnification-side surface of the second-group first lens.
3. A lens for projection, as defined in claim 2 , wherein the following formulas (D) and (E) are satisfied:
1.5≦ f 1 /f≦ 3.0 (D);
and
−2.5≦ f 2 /f≦− 0.5 (E),
where
f1 is the focal length of the second-group first lens, and
f2 is the focal length of the second-group second lens.
4. A lens for projection, as defined in claim 3 , wherein the following formula (F) is satisfied:
0.8≦ d 12 /f≦ 2.2 (F),
where
d12 is an air space between the first lens group and the second lens group.
5. A lens for projection, as defined in claim 4 , wherein the following formula (G) is satisfied:
Fno≦ 1.7 (G),
where
Fno is the F-number of the entire lens system.
6. A lens for projection, as defined in claim 5 , wherein at least one of surfaces of the lenses constituting the first lens group is aspheric.
7. A lens for projection, as defined in claim 6 , wherein at least one of surfaces of the second-group fourth lens and the second-group fifth lens is aspheric.
8. A lens for projection, as defined in claim 7 , wherein both of at least one aspheric lens in the first lens group and the second-group fifth lens are made of resin.
9. A lens for projection, as defined in claim 8 , wherein the following formula (H) is satisfied:
−1.1≦ fF/f 5≦−0.2 (H),
where
fF is the focal length of each aspheric lens made of resin in the first lens group, and
f5 is the focal length of the second-group fifth lens made of resin.
10. A lens for projection, as defined in claim 1 , wherein the following formulas (D) and (E) are satisfied:
1.5≦ f 1 /f≦ 3.0 (D);
and
−2.5≦ f 2 /f≦− 0.5 (E),
where
f1 is the focal length of the second-group first lens, and
f2 is the focal length of the second-group second lens.
11. A lens for projection, as defined in claim 1 , wherein the following formula (F) is satisfied:
0.8≦ d 12 /f≦ 2.2 (F),
where
d12 is an air space between the first lens group and the second lens group.
12. A lens for projection, as defined in claim 1 , wherein the following formula (G) is satisfied:
Fno≦ 1.7 (G),
where
Fno is the F-number of the entire lens system.
13. A lens for projection, as defined in claim 1 , wherein at least one of surfaces of the lenses constituting the first lens group is aspheric.
14. A lens for projection, as defined in claim 13 , wherein at least one of surfaces of the second-group fourth lens and the second-group fifth lens is aspheric.
15. A lens for projection, as defined in claim 14 , wherein both of at least one aspheric lens in the first lens group and the second-group fifth lens are made of resin.
16. A lens for projection, as defined in claim 15 , wherein the following formula (H) is satisfied:
−1.1≦ fF/f 5≦−0.2 (H),
where
fF is the focal length of each aspheric lens made of resin in the first lens group, and
f5 is the focal length of the second-group fifth lens made of resin.
17. A projection-type display apparatus comprising:
a lens for projection, as defined in claim 1 ;
a light source; and
a light valve that modulates rays of light output from the light source,
wherein the rays of light modulated by the light valve are projected through the lens for projection.