Abstract: A projection optical system forms an intermediate image at a position conjugate to a reduction side imaging surface, and forms a final image conjugate to the intermediate image on a magnification side imaging surface. The projection optical system includes a convex mirror disposed to be closer to the magnification side than the intermediate image and at least one lens that has a positive or negative refractive power and is disposed in an optical path so as to be closer to the magnification side than the convex mirror.

Abstract: A projection optical system is constituted by, in order from the reduction side, a first optical system constituted by a plurality of lenses for forming an image displayed by image display elements as an intermediate image, and a second optical system constituted by a plurality of lenses for forming the intermediate image on a magnification side conjugate plane. Conditional Formula (1), being that 0.020<enP/TL2<0.160, is satisfied, wherein enP is the distance along the optical axis from the surface most toward the magnification side in the second optical system to the position of an entrance pupil in the case that the magnification side is a light entry side, and TL2 is the distance along the optical axis from the surface most toward the reduction side in the second optical system to the surface most toward the magnification side in the second optical system.

Abstract: A projection optical system is constituted by, in order from the reduction side, a first optical system for forming an image displayed by image display elements as an intermediate image, a first optical path bending means that bends an optical path with a reflective surface, and a second optical system for forming the intermediate image on a magnification side conjugate plane. The second optical system is constituted by, in order from the reduction side, a first lens group having a positive refractive power, a second optical path bending means that bends an optical path with a reflective surface, and a second lens group having a positive refractive power. Conditional Formulae (1) and (2) below are satisfied. 10.0<TL1/|f|<50.0??(1) 4.0<TL21/|f|<30.0??(2).

Abstract: The zoom lens consists of, in order from an object side: a first lens group (G1) that remains stationary during zooming and has a positive refractive power; and a subsequent section that consists of five or more lens groups including at least four movable lens groups. The first lens group (G1) is set as an A constituent section (SA), and a lens closest to the object side in the A constituent section (SA) has a negative refractive power. A lens group having a stop is set as a C constituent section (SC), and the C constituent section (SC) moves to the object side during zooming from a wide-angle end to a telephoto end, and then moves toward an image side. A spacing between the A constituent section (SA) and the C constituent section (SC) is set as a B constituent section (SB), and the B constituent section (SB) consists of one or two the movable lens groups, and has a negative refractive power. In addition, the zoom lens satisfies predetermined conditional expressions.

Abstract: A projection optical system is constituted by, in order from the reduction side, a first optical system for forming an image displayed by image display elements as an intermediate image, a first optical path bending means that bends an optical path with a reflective surface, and a second optical system for forming the intermediate image on a magnification side conjugate plane. The second optical system is constituted by, in order from the reduction side, a first lens group having a positive refractive power, a second optical path bending means that bends an optical path with a reflective surface, and a second lens group having a positive refractive power. Conditional Formulae (1) and (2) below are satisfied. 10.0<TL1/|f|<50.0 ??(1) 4.0<TL21/|f|<30.0 ??(2).

Abstract: A projection optical system is constituted by, in order from the reduction side, a first optical system for forming an image displayed by image display elements as an intermediate image, a first optical path bending means that bends an optical path with a reflective surface, and a second optical system for forming the intermediate image on a magnification side conjugate plane. The second optical system is constituted by, in order from the reduction side, a first lens group having a positive refractive power, a second optical path bending means that bends an optical path with a reflective surface, and a second lens group having a positive refractive power. Conditional Formulae (1) and (2) below are satisfied. 10.0<TL1/|f|<50.0 ??(1) 4.0<TL21/|f|<30.0 ??(2).

Abstract: A projection optical system is constituted by, in order from the reduction side, a first optical system for forming an image displayed by image display elements as an intermediate image, and a second optical system for forming the intermediate image on a magnification side conjugate plane. The second optical system is constituted by, in order from the reduction side, a first lens group having a positive refractive power, a first optical path bending means that bends an optical path with a reflective surface, a second lens group having a positive refractive power, a second optical path bending means that bends an optical path with a reflective surface, and a third lens group having a negative refractive power. Conditional Formulae (1) and (2) below are satisfied. 0.05<|f23|/D223<0.50??(1) 5.0<D212/|f|<20.0??(2).

Abstract: The zoom lens includes: a first lens group that is disposed to be closest to an object side, first moves toward an image side along an optical axis during zooming from a wide-angle end to a telephoto end, and has a positive refractive power; a second lens group that is disposed to be adjacent to the first lens group on the image side of the first lens group, moves during zooming, and has a negative refractive power; a final lens group that is disposed to be closest to the image side, includes an aperture stop, remains stationary during zooming, and has a positive refractive power; and an image side negative lens group that is disposed to be adjacent to the final lens group on the object side of the final lens group, moves during zooming, and has a negative refractive power.

Abstract: A projection optical system is constituted by, in order from the reduction side, a first optical system for forming an image displayed by image display elements as an intermediate image, a first optical path bending means that bends an optical path with a reflective surface, and a second optical system for forming the intermediate image on a magnification side conjugate plane. The second optical system is constituted by, in order from the reduction side, a first lens group having a positive refractive power, a second optical path bending means that bends an optical path with a reflective surface, and a second lens group having a positive refractive power. Conditional Formulae (1) and (2) below are satisfied. 10.0<TL1/|f|<50.0??(1) 4.0<TL21/|f|<30.0??(2).

Abstract: A projection optical system is constituted by, in order from the reduction side, a first optical system for forming an image displayed by image display elements as an intermediate image, and a second optical system for forming the intermediate image on a magnification side conjugate plane. The second optical system is constituted by, in order from the reduction side, a first lens group having a positive refractive power, a first optical path bending means that bends an optical path with a reflective surface, a second lens group having a positive refractive power, a second optical path bending means that bends an optical path with a reflective surface, and a third lens group having a negative refractive power. Conditional Formulae (1) and (2) below are satisfied. 0.05<|f23|/D223<0.50??(1) 5.0<D212/|f|<20.0??(2).

Abstract: The zoom lens includes: a first optical system on a magnification side; and a second optical system on a reduction side in a state where the intermediate image is formed between the magnification side and the reduction side. The second optical system includes, in order from the magnification side, a second-1 lens group which has a positive refractive power, a second-2 lens group which has a positive refractive power, and a second-3 lens group which has a positive refractive power. The second-1 lens group and the second-2 lens group move in directions opposite to each other while changing spacings between the groups adjacent to each other in a direction of an optical axis during zooming. The second-3 lens group remains stationary with respect to the reduction side imaging plane during zooming. In addition, the zoom lens satisfies a predetermined conditional expression (1).

Abstract: The zoom lens includes: a first optical system on a magnification side; and a second optical system on a reduction side in a state where the intermediate image is formed between the magnification side and the reduction side. The first optical system includes, in order from the magnification side, a first-1 lens group which has a positive power, and a first-2 lens group which has a positive power. The second optical system includes, in order from the magnification side, a second-1 lens group which has a positive power, a second-2 lens group which has a positive power, and a second-3 lens group which has a positive power. The first-2 lens group, the second-1 lens group, and the second-2 lens group move during zooming. The first-1 lens group and the second-3 lens group remain stationary during zooming.

Abstract: A zoom lens forms an intermediate image at a position conjugate to a reduction side imaging plane and forms the intermediate image again on a magnification side imaging plane. The zoom lens includes a plurality of lens groups including at least two movable lens groups, which move by changing spacings between the groups adjacent to each other in a direction of an optical axis during zooming, at a position closer to the reduction side than the intermediate image. Among the plurality of lens groups, a final lens group closest to the reduction side has a positive refractive power, and remains stationary with respect to the reduction side imaging plane during zooming. The zoom lens satisfies predetermined conditional expressions (1) and (2) about the focal lengths of the movable lens groups.

Abstract: A zoom lens forms an intermediate image at a position conjugate to a reduction side imaging plane and forms the intermediate image again on a magnification side imaging plane. The zoom lens includes a plurality of lens groups including at least two movable lens groups, which move by changing spacings between the groups adjacent to each other in a direction of an optical axis during zooming, at a position closer to the reduction side than the intermediate image. Among the plurality of lens groups, a final lens group closest to the reduction side has a positive refractive power, and remains stationary with respect to the reduction side imaging plane during zooming. The zoom lens satisfies predetermined conditional expressions (1) and (2).

Abstract: A projection optical system is constituted by, in order from the reduction side, a first optical system constituted by a plurality of lenses for forming an image displayed by image display elements as an intermediate image, and a second optical system constituted by a plurality of lenses for forming the intermediate image on a magnification side conjugate plane. Conditional Formula (1) below is satisfied. 8.20<Im?·f2/f2<20.

Abstract: The imaging optical system consists of, in order from a magnified side, a first optical system consisting of a first lens group, first optical path bending means, and a second lens group, second optical path bending means, and a second optical system. The first optical path bending means and/or the second optical path bending means is disposed in a direction in which an optical path is bent by 90 degrees, the first optical system is capable of being rotated using an optical axis of the second lens group as an axis of rotation, and the following predetermined Conditional Expression (1) is satisfied. |tan(?)|<0.

Abstract: In the imaging optical system that consists of a first optical system and a second optical system in order from a magnified side, and has an intermediate image formed between the first optical system and the second optical system, a focus group moving during focusing is included between a most magnified side of the first optical system and a position at which a principal ray of light having a maximum angle of view and an optical axis of the first optical system intersect each other, and a predetermined conditional expression relating to the focus group is satisfied.

Abstract: A projection zoom lens is constituted essentially by: a plurality of lens groups that include at least two lens groups that move when changing magnification; the distances among all pairs of adjacent lens groups changing when changing magnification; the reduction side being configured to be telecentric; and a negative first lens group, which is fixed when changing magnification, being provided most toward the magnification side. The first lens group is constituted essentially by, in order from the magnification side to the reduction side, a negative first lens, which is a meniscus lens having a convex surface toward the magnification side, a biconcave second lens, and a positive or negative third lens. Conditional Formula (1) related to fw, which is the focal length of the entire projection zoom lens at the wide angle end, and f3, which is the focal length of the third lens, is satisfied: ?0.070<fw/f3<0.070??(1).

Abstract: A projection lens includes a compound aspherical lens in which a resin layer is formed on a surface of a glass lens and a lens surface of the resin layer on the air contacting surface side has an aspherical shape. If the glass transition temperature of the resin layer is taken as Tg and its unit is taken as ° C., Tg of at least one of the resin layers is 150<Tg<280. The projection lens is configured to satisfy a given conditional expression with respect to the at least one of the resin layers.

Abstract: A projection zoom lens constituted by: a negative first lens group; a positive final lens group; and moving lens groups between the first and the final lens groups that move independently while changing magnification, satisfies the conditional formulae below: 1.00<(Rf2?Rr2)/(Rf2+Rr2)??(1) 0.00?(Rr2?Rf3)/(Rr2+Rf3)<0.15??(2) 2.5<Bf/Im???(9) wherein Rf2 and Rr2 respectively are the radii of curvature of the front and rear surfaces of the second lens from the magnification side within the most reduction side moving lens group, Rf3 is the radius of curvature of the front surface of the third lens from the magnification side within the most reduction side moving lens group, Bf is the back focus of the entire system at the reduction side at the wide angle end as an air converted length, and Im? is the maximum effective image circle diameter at the reduction side.