Claims Analysis
Total Claims: 7
Claim 1
Independent Claim
135 words
A large-aperture single lens with aspherical surfaces having both of a first surface and second surface formed as aspherical surfaces having positive refractive powers, said single lens with aspherical surfaces satisfying the following conditions: ##EQU5## where, R 1 : Radius of curvature of first surface (=1/c 1 ) k 1 : Coefficient of cone of first surface f: Focal length of lens n: Refractive index of lens when said aspherical surfaces are expressed by the following formula: ##STR6## where, x: Distance of point on aspherical surface at height h from optical axis from tangential plane at apex of aspherical surface h: Height from optical axis c: Curvature at apex of aspherical surface (=1/R) k: Constant of cone A 2i : Coefficient of aspherical surface of 2ith order (i represents an integer of 2 or over).
Claim 2
Dependent Claim
135 words
A large-aperture single lens with aspherical surfaces having both of a first surface and second surface formed as aspherical surfaces having positive refractive powers, said single lens with aspherical surfaces satisfying the following conditions: ##EQU5## where, R 1 : Radius of curvature of first surface (=1/c 1 ) k 1 : Coefficient of cone of first surface f: Focal length of lens n: Refractive index of lens when said aspherical surfaces are expressed by the following formula: ##STR6## where, x: Distance of point on aspherical surface at height h from optical axis from tangential plane at apex of aspherical surface h: Height from optical axis c: Curvature at apex of aspherical surface (=1/R) k: Constant of cone A 2i : Coefficient of aspherical surface of 2ith order (i represents an integer of 2 or over).
Claim 3
Dependent Claim
28 words
A large-aperture single lens with aspherical surfaces according to Claim 1 further satisfying the following conditions: k.sub.2 <-1 where, k 2 : Coefficient of cone of second surface.
Claim 4
Dependent Claim
45 words
A large-aperture single lens with aspherical surfaces according to Claim 2, wherein said second surface is arranged as hyperboloid and said single lens with aspherical surfaces further satisfies the following conditions: ##EQU6## where, R 2 : Radius of curvature of second surface (=1/c 2 ).
Claim 5
Dependent Claim
46 words
A large-aperture single lens with aspherical surfaces according to claim 1, 2 or 3, wherein said first surface further satisfies the following conditions: 0.1<{1/8(1+k.sub.1)c.sup.3 +A.sub.4.sup.(1) }(n-1).sup.2 <-0.05 when said formula x expressing the aspherical surface is developed as a polynomial of h as shown below: ##EQU7##
Claim 6
Dependent Claim
28 words
A large-aperture single lens with aspherical surfaces according to claim 1, 2, or 3 further satisfying the following condition wherein reference symbol d represents the lens thickness: ##EQU8##
Claim 7
Dependent Claim
25 words
A large-aperture single lens with aspherical surfaces according to claim 4 further satisfying the following condition wherein reference symbol d represents the lens thickness: ##EQU9##