Single-focus optical system and optical apparatus using the same
A single-focus optical system includes in order from an enlargement side, a first lens unit, and a second lens unit having a positive refractive power. A lens component is one of a single lens and a cemented lens. The first lens unit includes a reduction-side negative lens component closest to the reduction side, and in addition, the first lens unit includes not less than three negative lens components including the reduction-side negative lens component. The second lens unit includes in order from the enlargement side, a front side sub-unit and a rear side sub-unit. The front side sub-unit includes only a positive lens component, and the rear side sub-unit includes at least a negative lens.
1. A single-focus optical system which forms a conjugate relationship between a conjugate point on an enlargement side at a long distance and a conjugate point on a reduction side at a short distance, comprising in order from the enlargement side:
a first lens unit; and
a second lens unit having a positive refractive power,
wherein:
a lens component is one of a single lens and a cemented lens,
the first lens unit includes a reduction-side negative lens component which is disposed closest to the reduction side, and has a concave surface on the reduction side,
the first lens unit includes an enlargement-side lens component having a negative refractive power, closest to the enlargement side,
the first lens unit includes a cemented lens including, in order from the enlargement side, a negative lens having a concave surface on the enlargement side and a positive lens, and a shape of the cemented lens is a meniscus shape having a concave surface directed toward the enlargement side,
the total number of negative lens components in the first lens unit is not less than three,
the second lens unit includes, in order from the enlargement side, a front side sub-unit and a rear side sub-unit,
the front side sub-unit includes only a lens component having a positive refractive power, and
the rear side sub-unit includes at least a negative lens.
2. The single-focus optical system according to claim 1 , wherein the negative lens of the rear side sub-unit is cemented to an adjacent positive lens.
3. The single-focus optical system according to claim 1 , wherein:
the first lens unit includes, in order from the enlargement side, a first sub-unit and a second sub-unit, and
each lens component in the second sub-unit includes a negative lens component.
4. The single-focus optical system according to claim 1 , wherein:
the first lens unit includes, in order from the enlargement side, a first sub-unit and a second sub-unit,
each lens component in the second sub-unit includes a negative lens component, and
the second sub-unit includes a negative lens component of a meniscus shape having a concave surface directed toward the reduction side.
5. The single-focus optical system according to claim 1 , wherein:
the first lens unit includes, in order from the enlargement side, a first sub-unit and a second sub-unit,
each lens component in the second sub-unit includes a negative lens component, and
focusing is carried out by moving the second sub-unit on an optical axis.
6. The single-focus optical system according to claim 5 , wherein:
the second sub-unit includes only the reduction-side negative lens component, and
the following conditional expression (5) is satisfied:
0.80< SF 16 <4.0 (5)
where,
SF 16 =(R F16 +R R16 )/(R F16 −R R16 ), and here
R F16 denotes a radius of curvature of an enlargement-side surface of the reduction-side negative lens component in the second sub-unit, and
R R16 denotes a radius of curvature of a reduction-side surface of the reduction-side negative lens component in the second sub-unit.
7. The single-focus optical system according to claim 6 , wherein the following conditional expression (6) is satisfied:
−0.4< SF 21 <1.6 (6)
where,
SF 21 =(R F21 +R R21 )/(R F21 −R R21 ), and here
R F21 denotes a radius of curvature of an enlargement-side surface of the positive lens component in the front side sub-unit, and
R R21 denotes a radius of curvature of a reduction-side surface of the positive lens component in the front side sub-unit.
8. The single-focus optical system according to claim 1 , wherein:
the first lens unit includes, in order from the enlargement side, a first sub-unit and a second sub-unit,
the first sub-unit includes a reduction-side positive lens component closest to the reduction side, and
each lens component in the second sub-unit includes a negative lens component.
9. The single-focus optical system according to claim 1 , wherein:
the first lens unit includes, in order from the enlargement side, a first sub-unit and a second sub-unit,
each lens component in the second sub-unit includes a negative lens component, and
at a time of focusing, a distance between the first sub-unit and the second sub-unit, a distance between the second sub-unit and the front side sub-unit, and a distance between the front side sub-unit and the rear side sub-unit change.
10. The single-focus optical system according to claim 9 , wherein the first sub-unit and the rear side sub-unit are fixed at the time of focusing.
11. The single-focus optical system according to claim 9 , wherein:
the second sub-unit includes the reduction-side negative lens component,
the reduction-side negative lens component in the second sub-unit is a single lens, and
in a rectangular coordinate system in which a horizontal axis is let to be Nd 1NR and a vertical axis is let to be νd 1NR , when a straight line represented by Nd 1NR =α×νd 1NR +β 1NR , where, α=−0.01, Nd 1NR and νd 1NR for the reduction-side negative lens component in the second sub-unit are included in both of an area determined by a straight line when a lower limit value of a range of the following conditional expression (14) is β 1NR =2.15, and an area determined by the following conditional expressions (15) and (16):
2.15≤β 1NR (14),
1.45< Nd 1NR (15), and
25<ν d 1NR (16)
where,
Nd 1NR denotes a refractive index of the reduction-side negative lens component in the second sub-unit, and
νd 1NR denotes Abbe number for the reduction-side negative lens component in the second sub-unit.
12. The single-focus optical system according to claim 1 , wherein:
the first lens unit includes, in order from the enlargement side, a first sub-unit and a second sub-unit,
the enlargement-side lens component is a single lens, and
each lens component in the second sub-unit includes a negative lens component.
13. The single-focus optical system according to claim 12 , wherein the following conditional expression (1) is satisfied:
0.75< SF 11 <3.5 (1)
where,
SF 11 =(R F11 +R R11 )/(R F11 −R R11 ), and here
R F11 denotes a radius of curvature of an enlargement-side surface of the enlargement-side lens component, and
R R11 denotes a radius of curvature of a reduction-side surface of the enlargement-side lens component.
14. The single-focus optical system according to claim 1 , wherein:
the first lens unit includes, in order from the enlargement side, a first sub-unit and a second sub-unit,
the first sub-unit includes the cemented lens, and
each lens component in the second sub-unit includes a negative lens component.
15. The single-focus optical system according to claim 14 , further comprising:
a reduction-side lens component on the enlargement side of the cemented lens in the first sub-unit,
wherein:
a shape of the reduction-side lens component is a meniscus shape having a convex surface directed toward the enlargement side, and
the following conditional expression (2) is satisfied:
1.4< SF 12 <15 (2)
where,
SF 12 =(R F12 +R R12 )/(R F12 −R R12 ), and here
R F12 denotes a radius of curvature of an enlargement-side surface of the reduction-side lens component, and
R R12 denotes a radius of curvature of a reduction-side surface of the reduction-side lens component.
16. The single-focus optical system according to claim 14 , wherein the following conditional expression (3) is satisfied:
−15< SF 13 <−2.0 (3)
where,
SF 13 =(R F13 +R R13 )/(R F13 −R R13 ), and here
R F13 denotes a radius of curvature of an enlargement-side surface of the cemented lens in the first sub-unit, and
R R13 denotes a radius of curvature of a reduction-side surface of the cemented lens in the first sub-unit.
17. The single-focus optical system according to claim 1 , wherein:
the first lens unit includes, in order from the enlargement side, a first sub-unit and a second sub-unit,
the first sub-unit includes the cemented lens and a reduction-side lens component,
the reduction-side lens component is disposed adjacent to the cemented lens in the first sub-unit, on the enlargement side of the cemented lens in the first sub-unit,
a shape of the reduction-side lens component is a meniscus shape having a convex surface directed toward the enlargement side, and
each lens component in the second sub-unit includes a negative lens component.
18. The single-focus optical system according to claim 1 , wherein:
the first lens includes, in order from the enlargement side, a first sub-unit and a second sub-unit, and
the second sub-unit includes only the reduction-side negative lens component.
19. The single-focus optical system according to claim 1 , wherein:
the first lens unit includes, in order from the enlargement side, a first sub-unit and a second sub-unit, and
the first sub-unit includes, in order from the enlargement side, the cemented lens and a plurality of positive lens components,
the plurality of positive lens components is all positive lens components that are adjacent, and
each lens component in the second sub-unit includes a negative lens component.
20. The single-focus optical system according to claim 19 , wherein:
the plurality of positive lens components includes a front-side positive lens component which is positioned closest to the enlargement side, and a rear-side positive lens component which is positioned closest to the reduction side, and
the following conditional expression (4) is satisfied:
0.10< SF 14 −SF 15 <7.0 (4)
where,
SF 14 =(R F14 +R R14 )/(R F14 −R R14 ), and
SF 15 =(R F15 +R R15 )/(R F15 −R R15 ), and here
R F14 denotes a radius of curvature of an enlargement-side surface of the front-side positive lens component,
R R14 denotes a radius of curvature of a reduction-side surface of the front-side positive lens component,
R F15 denotes a radius of curvature of an enlargement-side surface of the rear-side positive lens component, and
R R15 denotes a radius of curvature of a reduction-side surface of the rear-side positive lens component.
21. The single-focus optical system according to claim 1 , wherein:
the first lens unit includes, in order from the enlargement side, a first sub-unit and a second sub-unit,
the first sub-unit includes a reduction-side positive lens component closest to the reduction side,
the reduction-side positive lens component is a single lens,
each lens component in the second sub-unit includes a negative lens component, and
in a rectangular coordinate system in which a horizontal axis is let to be Nd 1PR and a vertical axis is let to be νd 1PR , when a straight line represented by Nd 1PR =α×νd 1PR +β 1PR , where, α=−0.01, Nd 1PR and νd 1PR for the reduction-side positive lens component are included in both of an area determined by a straight line when a lower limit value of a range of the following conditional expression (11) is β 1PR =2.25, and an area determined by the following conditional expressions (12) and (13):
2.25≤β 1PR (11),
1.40< Nd 1PR (12), and
35<ν d 1PR (13)
where,
Nd 1PR denotes a refractive index of the reduction-side positive lens component, and
νd 1PR denotes Abbe number for the reduction-side positive lens component.
22. The single-focus optical system according to claim 1 , wherein:
the enlargement-side lens component in the first lens unit satisfies the following conditional expression (A):
0< f/e N1F <2 (A)
where,
f denotes a focal length of the overall single-focus optical system at a time of focusing to an object at infinity, and
e N1F denotes a maximum effective aperture of the enlargement-side lens component in the first lens unit.
23. The single-focus optical system according to claim 1 , further comprising:
an aperture stop,
wherein the following conditional expression (B) is satisfied:
0<( f/e AS )/ Fno< 2 (B)
where,
f denotes a focal length of the overall single-focus optical system at a time of focusing to an object at infinity,
e AS denotes a maximum diameter of the aperture stop, and
Fno denotes an F-number for the overall single-focus optical system at the time of focusing to an object at infinity.
24. The single-focus optical system according to claim 1 , wherein the following conditional expression (C) is satisfied:
0< T air _ max /Σd≤ 0.27 (C)
where,
T air _ max is a largest axial air space in a range from a surface positioned closest to the enlargement side to a surface positioned closest to the reduction side in the single-focus optical system, and
Σd is an axial distance from the surface positioned closest to the enlargement side to the surface positioned closest to the reduction side in the single-focus optical system.
25. An optical apparatus comprising:
the single-focus optical system according to claim 1 ; and
an image pickup element which is disposed on the reduction side,
wherein the image pickup element has an image pickup surface, and converts an image formed on the image pickup surface by the optical system to an electric signal.
26. An optical apparatus comprising:
the single-focus optical system according to claim 1 ; and
a display element which is disposed on the reduction side,
wherein:
the display element has a display surface, and
an image displayed on the display surface is projected on the enlargement side by the optical system.