Projection lens system and image projection device
A projection lens system that projects an image of a reduction side into a magnification side includes a diaphragm, a plurality of positive lenses, and a plurality of negative lenses. The plurality of positive lenses include a first positive lens closer to the magnification side than the diaphragm is and closest to the diaphragm, a second positive lens second closest to the diaphragm after the first positive lens on the magnification side, a third positive lens closer to the reduction side than the diaphragm is and closest to the diaphragm. The plurality of negative lenses include a first negative lens closer to the magnification side than the diaphragm is and closest to the diaphragm, and a second negative lens closer to the reduction side than the diaphragm is and closest to the diaphragm. The lenses have transmittances larger than threshold values, respectively.
1. A projection lens system that projects an image of a reduction side into a magnification side, the projection lens system comprising:
a magnification optical system; and
a relay optical system, wherein:
the magnification optical system and the relay optical system include a plurality of lenses,
the magnification optical system is disposed closer to the magnification side than the relay optical system is,
an intermediate imaging position is located between the magnification optical system and the relay optical system,
a lens closest to the reduction side in the magnification optical system has a positive meniscus shape and a convex surface, the convex surface facing the magnification side,
a lens closest to the magnification side in the relay optical system has a positive meniscus shape and a convex surface, the convex surface facing the reduction side,
a second lens from the magnification side in the relay optical system has a biconcave shape,
the relay optical system includes:
a diaphragm;
a plurality of positive lenses; and
a plurality of negative lenses,
the diaphragm, the plurality of positive lenses, and the plurality of negative lenses are between the second lens from the magnification side and the reductions side,
the plurality of positive lenses include:
a first positive lens that is closer to the magnification side than the diaphragm is, and is closest to the diaphragm in the plurality of positive lenses;
a second positive lens that is second closest to the diaphragm in the plurality of positive lenses after the first positive lens on the magnification side; and
a third positive lens that is closer to the reduction side than the diaphragm is, and is closest to the diaphragm in the plurality of positive lenses,
lens materials of the first to third positive lenses satisfy following conditions (1) to (3), respectively,
the plurality of negative lenses include:
a first negative lens that is closer to the magnification side than the diaphragm is, and is closest to the diaphragm in the plurality of negative lenses; and
a second negative lens that is closer to the reduction side than the diaphragm is, and is closest to the diaphragm in the plurality of negative lenses,
lens materials of the first and second negative lenses satisfying following conditions (4) to (6), respectively, and
at least one positive lens of the first to third positive lenses satisfies following conditions (7) and (8),
Tp 1>99% (1)
Tp 2>99% (2)
Tp 3>99% (3)
Tn 1>99% (4)
Tn 2>99% (5)
α n 1<100×10 −7 [/° C.] (6)
dn/dt<− 4.5×10 −6 (7)
|fp/fw|> 1.3 (8)
where
Tp1 indicates an internal transmittance of light having a wavelength of 460 nm measured under a condition that a lens material of the first positive lens has a thickness of 10 mm,
Tp2 indicates an internal transmittance of light having a wavelength of 460 nm measured under a condition that a lens material of the second positive lens has a thickness of 10 mm,
Tp3 indicates an internal transmittance of light having a wavelength of 460 nm measured under a condition that a lens material of the third positive lens has a thickness of 10 mm,
Tn1 indicates an internal transmittance of light having a wavelength of 460 nm measured under a condition that a lens material of the first negative lens has a thickness of 10 mm,
Tn2 indicates an internal transmittance of light having a wavelength of 460 nm measured under a condition that a lens material of the second negative lens has a thickness of 10 mm,
αn1 indicates a linear expansion coefficient of the lens material of the first negative lens at room temperature,
dn/dt indicates a temperature coefficient of a relative refractive index of a lens material of the at least one positive lens at room temperature,
fp indicates a focal length of the at least one positive lens, and
fw indicates a focal length at a wide-angle end of the projection lens system as a whole.
2. The projection lens system according to claim 1 , wherein the projection lens system constitutes a substantially telecentric system on the reduction side.
3. The projection lens system according to claim 1 , wherein a number of the plurality of positive lenses and the plurality of negative lenses is at least 15.
4. The projection lens system according to claim 1 , wherein
the plurality of positive lenses comprise a positive lens that satisfies a following condition (9),
ν p< 40 (9)
where νp indicates an Abbe number of a lens material of the positive lens.
5. The projection lens system according to claim 1 , wherein
the plurality of negative lenses comprise a negative lens that satisfies a following condition (10),
ν n< 40 (10)
where νn indicates an Abbe number of a lens material of the negative lens.
6. The projection lens system according to claim 1 , wherein
the projection lens system comprises four positive lenses, each of which satisfies a following condition (11),
dn/dt<− 4.5×10 −6 (11).
7. The projection lens system according to claim 1 ,
wherein
a second lens from the reduction side in the magnification optical system has a biconvex shape,
a third lens from the reduction side in the magnification optical system has a biconcave shape, and
a fourth lens from the reduction side in the magnification optical system has a biconvex shape.
8. The projection lens system according to claim 1 , wherein
the magnification optical system has a positive power,
the relay optical system has a positive power, and
the projection lens system satisfies a following condition (13),
8 <|fr/fw|< 12 (13)
where fr indicates a focal length of lenses closer to the reduction side than the diaphragm is.
9. The projection lens system according to claim 7 ,
wherein
a third lens from the magnification side in the relay optical system has a positive meniscus shape and a convex surface, the convex surface facing the reduction side, and
a fourth lens from the magnification side in the relay optical system is the second positive lens, the fourth lens having a negative meniscus shape and a convex surface, the convex surface facing the magnification side.
10. An image projection device comprising:
the projection lens system according to claim 1 ; and
an image forming element that forms the image.
11. A projection lens system that projects an image of a reduction side into a magnification side, the projection lens system comprising:
a magnification optical system; and
a relay optical system, wherein:
the magnification optical system and the relay optical system include a plurality of lenses,
the magnification optical system is disposed closer to the magnification side than the relay optical system is,
an intermediate imaging position is located between the magnification optical system and the relay optical system,
a lens closest to the reduction side in the magnification optical system has a positive meniscus shape and a convex surface, the convex surface facing the magnification side,
the relay optical system includes:
a diaphragm;
a plurality of positive lenses; and
a plurality of negative lenses,
the diaphragm, the plurality of positive lenses, and the plurality of negative lenses are between the second lens from the magnification side and the reductions side,
the plurality of positive lenses include:
a first positive lens that is closer to the magnification side than the diaphragm is, and is closest to the diaphragm in the plurality of positive lenses;
a second positive lens that is second closest to the diaphragm in the plurality of positive lenses after the first positive lens on the magnification side; and
a third positive lens that is closer to the reduction side than the diaphragm is, and is closest to the diaphragm in the plurality of positive lenses,
lens materials of the first to third positive lenses satisfy following conditions (1) to (3), respectively,
the plurality of negative lenses include:
a first negative lens that is closer to the magnification side than the diaphragm is, and is closest to the diaphragm in the plurality of negative lenses; and
a second negative lens that is closer to the reduction side than the diaphragm is, and is closest to the diaphragm in the plurality of negative lenses,
lens materials of the first and second negative lenses satisfying following conditions (4) to (6), respectively, and
at least one positive lens of the first to third positive lenses satisfies following conditions (7) and (8),
Tp 1>99% (1)
Tp 2>99% (2)
Tp 3>99% (3)
Tn 1>99% (4)
Tn 2>99% (5)
α n 1<100×10 −7 [/° C.] (6)
dn/dt<− 4.5×10 −6 (7)
|fp/fw|> 1.3 (8)
where
Tp1 indicates an internal transmittance of light having a wavelength of 460 nm measured under a condition that a lens material of the first positive lens has a thickness of 10 mm,
Tp2 indicates an internal transmittance of light having a wavelength of 460 nm measured under a condition that a lens material of the second positive lens has a thickness of 10 mm,
Tp3 indicates an internal transmittance of light having a wavelength of 460 nm measured under a condition that a lens material of the third positive lens has a thickness of 10 mm,
Tn1 indicates an internal transmittance of light having a wavelength of 460 nm measured under a condition that a lens material of the first negative lens has a thickness of 10 mm,
Tn2 indicates an internal transmittance of light having a wavelength of 460 nm measured under a condition that a lens material of the second negative lens has a thickness of 10 mm,
αn1 indicates a linear expansion coefficient of the lens material of the first negative lens at room temperature,
dn/dt indicates a temperature coefficient of a relative refractive index of a lens material of the at least one positive lens at room temperature,
fp indicates a focal length of the at least one positive lens, and
fw indicates a focal length at a wide-angle end of the projection lens system as a whole.