Abstract: A lens for projection substantially consists of a negative first lens group, a positive second lens group and a positive third lens group in this order from a magnification side. A reduction side is telecentric, and a most magnification-side lens is an aspheric plastic lens. The third lens group consists of a negative front group and a positive rear group in this order from the magnification side with an air space therebetween. The front group consists of a negative lens and a positive lens in this order from the magnification side with an air space therebetween, and the air space being narrower than the air space between the front group and the rear group. Conditional formula (1): ?0.7<fFG3/f<0.7 about front focus fFG3 of the third lens group and focal length f of an entire system is satisfied.

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: The projection zoom lens essentially consists of a positive first lens group fixed while changing magnification and the second lens group through the fourth lens group which move while changing magnification, and a fifth lens group fixed while changing magnification; and an aperture stop positioned between adjacent moving lens groups or within one moving lens group, wherein the numerical number of the zoom lens is set to be constant over the entire zoom range, the reduction side is configured to be telecentric, and the projection zoom lens satisfies conditional formulas (4) and (5): 2.0<Bf/Im???(4) L/Im?<12??(5), where, Bf: the back focus (air converted length) at the reduction side of the entire system at the wide angle end, Im?: the maximum effective image circle diameter, and L: the distance between the most-magnification-side lens surface and the most-reduction-side lens surface along the optical axis when the projection distance is infinite.

Abstract: A projection zoom lens is constituted by: a negative first lens group; a positive moving second lens group; a positive moving third lens group; a positive final lens group; at least one lens group positioned between the final lens group and the third lens group; and an aperture stop provided between adjacent moving lens groups. The aperture stop is a variable stop, of which the aperture diameter changes such that the numerical aperture of the zoom lens becomes constant. The zoom lens satisfies Conditional Formulae below: 2.8<Bf/Im???(1?) L/Im?<12??(2) wherein Bf is the back focus of the entire system at the reduction side at the wide angle end, Im? is the maximum effective image circle diameter at the reduction side, and L is the distance from the lens surface most toward the magnification side to the lens surface most toward the reduction side when the projection distance is infinity.

Abstract: A zoom lens consists essentially of, in order from the object side: a positive first lens group that is fixed during magnification change; a moving lens group consisting of at least two lens groups that are moved along the optical axis direction to change an air space therebetween during magnification change; a stop; and a positive end lens group that is fixed during magnification change. The first lens group consists of, in order from the object side, a negative first lens-group front group, a positive first lens-group middle group, and a positive first lens-group rear group. During focusing, only the first lens-group middle group is moved along the optical axis direction. The first lens-group middle group includes at least one aspheric lens that satisfies predetermined condition expressions.

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.

Abstract: A zoom lens consists essentially of, in order from the object side, a positive first lens group, a positive second lens group, a negative third lens group, a negative fourth lens group, and a positive fifth lens group. During magnification change from the wide-angle end to the telephoto end, the first lens group and the fifth lens group are fixed relative to the image plane, and the second lens group, the third lens group, and the fourth lens group are moved along the optical axis direction to change distances between the lens groups.

Abstract: A projection zoom lens is configured to have an intermediate group that essentially consists of two or three moving lens groups positioned between a first lens group and a final lens group, both of which have positive refractive powers and are fixed while changing magnification. The projection zoom lens changes magnification by moving these moving lens groups. Further, the projection zoom lens satisfies conditional formulas (1) and (2) below: d/fw<1.0 ??(1), 1.5<fe/fw<7.0 ??(2) where, d: the distance between the most-reduction-side lens surface of the intermediate group and the most-reduction-side lens surface of the final lens group along the optical axis at the wide angle end, fw: the focal length of the entire system at the wide angle end, and fe: the focal length of the final lens group.

Abstract: A projection zoom lens essentially consists of a negative first lens group, a positive second lens group through the fourth lens group that move along the optical axis while changing magnification, a fifth lens group that moves while changing magnification, and a positive sixth lens group disposed in this order from the magnification side, wherein the projection zoom lens satisfies conditional formulas (1) and (2) below: 1.9<m4/fw??(1) 0.7<(m3+m4)/(m2+m3+m4+m5)??(2), where, mk (k=2 through 5) is the absolute value of movement of the k-th lens group while changing magnification from the wide angle end to the telephoto end, and fw: the focal length of the entire system at the wide angle end.

Abstract: In an optical system for projection that is telecentric on a reduction side, a correction lens group substantially consisting of a part of lens groups in the optical system for projection is configured to move in the direction of an optical axis to correct a shift in a focal position caused by a change in temperature, and predetermined conditional formulas are satisfied.

Abstract: A variable magnification optical system for projection consists of a negative lens group and a positive lens group in this order from a magnification side. A distance on an optical axis between the negative lens group and the positive lens group changes during magnification change, and an entire system substantially consists of six lenses. The negative lens group consists of a first lens including an aspheric surface and a second lens that is a negative single lens in this order from the magnification side.

Abstract: A variable-magnification projection optical system substantially consists of a negative first lens group that is disposed at the most enlargement-side position and is fixed during magnification change, a positive last lens group that is disposed at the most reduction-side position and is fixed during magnification change, and a plurality of lens groups that are disposed between the first lens group and last lens group and are moved during magnification change. The lens groups that are moved during magnification change substantially consist of three lens groups, wherein the most enlargement-side lens group is a negative lens group. Predetermined conditional expressions relating to a back focus of the entire system on the reduction side at the wide-angle end, a focal length of the entire system at the wide-angle end, a focal length of the last lens group, and a focal length of the first lens group are satisfied.

Abstract: A variable-magnification projection optical system substantially consists of a negative first lens group that is disposed at the most enlargement-side position and is fixed during magnification change, a positive last lens group that is disposed at the most reduction-side position and is fixed during magnification change, and a plurality of lens groups that are disposed between the first lens group and last lens group and are moved during magnification change. The most enlargement-side lens group (the second lens group) of the lens groups that are moved during magnification change has a negative refractive power. Predetermined conditional expressions relating to a back focus of the entire system on the reduction side at the wide-angle end, a focal length of the entire system at the wide-angle end, a focal length of the second lens group and a focal length of the last lens group are satisfied.

Abstract: A lens for projection substantially consists of a negative first lens group, a positive second lens group and a positive third lens group in this order from a magnification side. A reduction side is telecentric, and a most magnification-side lens is an aspheric plastic lens. The third lens group consists of a negative front group and a positive rear group in this order from the magnification side with an air space therebetween. The front group consists of a negative lens and a positive lens in this order from the magnification side with an air space therebetween, and the air space being narrower than the air space between the front group and the rear group. Conditional formula (1): ?0.7<fFG3/f<0.7 about front focus fFG3 of the third lens group and focal length f of an entire system is satisfied.

Abstract: A projection lens that projects image information displayed on the reduction side conjugate position onto the magnification side conjugate position includes an aspherical lens having a positive refractive power that satisfies predetermined conditional expressions and, when the back focus of the entire system is taken as Bf, the focal length of the entire system is taken as f, the maximum effective image circle diameter on the reduction side is taken as Im?, and the distance from the reduction side conjugate position to the reduction side pupil position is taken as dexp, satisfies conditional expressions (6): Bf/f>2 and (7): 0.5<|Im?/dexp|<1.

Abstract: In an optical system for projection that is telecentric on a reduction side, a correction lens group substantially consisting of a part of lens groups in the optical system for projection is configured to move in the direction of an optical axis to correct a shift in a focal position caused by a change in temperature, and predetermined conditional formulas are satisfied.

Abstract: A projection lens that projects image information displayed on the reduction side conjugate position onto the magnification side conjugate position includes an aspherical lens having a positive refractive power that satisfies predetermined conditional expressions and, when the back focus of the entire system is taken as Bf, the focal length of the entire system is taken as f, the maximum effective image circle diameter on the reduction side is taken as Im?, and the distance from the reduction side conjugate position to the reduction side pupil position is taken as dexp, satisfies conditional expressions (6): Bf/f>2 and (7): 0.5<|Im?/dexp|<1.

Abstract: A variable-magnification projection optical system substantially consists of a negative first lens group that is disposed at the most enlargement-side position and is fixed during magnification change, a positive last lens group that is disposed at the most reduction-side position and is fixed during magnification change, and a plurality of lens groups that are disposed between the first lens group and last lens group and are moved during magnification change. The most enlargement-side lens group (the second lens group) of the lens groups that are moved during magnification change has a negative refractive power. Predetermined conditional expressions relating to a back focus of the entire system on the reduction side at the wide-angle end, a focal length of the entire system at the wide-angle end, a focal length of the second lens group and a focal length of the last lens group are satisfied.

Abstract: A variable-magnification projection optical system substantially consists of a negative first lens group that is disposed at the most enlargement-side position and is fixed during magnification change, a positive last lens group that is disposed at the most reduction-side position and is fixed during magnification change, and a plurality of lens groups that are disposed between the first lens group and last lens group and are moved during magnification change. The lens groups that are moved during magnification change substantially consist of three lens groups, wherein the most enlargement-side lens group is a negative lens group. Predetermined conditional expressions relating to a back focus of the entire system on the reduction side at the wide-angle end, a focal length of the entire system at the wide-angle end, a focal length of the last lens group, and a focal length of the first lens group are satisfied.

Abstract: 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.