Eyepiece optical system
An eyepiece optical system is achieved that is suitable for an object image displayed on a miniaturized image display device and can magnify the object image to a high magnification ratio, the distance to the eyepoint is long while achieving a wide apparent visual angle at a short focal length, various aberrations can be favorably corrected while achieving a superior optical quality, and the pupil diameter can be enlarged. The eyepiece optical system includes a first lens element having a meniscus shape with a concave surface on the object side, a positive second lens element, a negative third lens element, and a positive fourth lens element, in that order from the object side toward the eye side.
1. An eyepiece optical system comprising a first lens element having a meniscus shape with a concave surface on an object side of the first lens element, a positive second lens element, a negative third lens element, and a positive fourth lens element, in that order from an object side of the eyepiece optical system toward an eye side of the eyepiece optical system, wherein
the following conditions are satisfied:
−1.55< f/R 12<−0.7, and
−1.25< f/f 3<−0.8,
f designates an entire focal length of the eyepiece optical system,
R12 designates a paraxial radius-of-curvature of a surface of the first lens element on an eye side of the first lens element, and
f3 designates a focal length of the third lens element.
2. The eyepiece optical system according to claim 1 , wherein the following condition is satisfied:
−2.5< SF 4<−0.8,
SF 4=( r 42+ r 41)/( r 42− r 41),
r41 designates a paraxial radius-of-curvature of a surface on an object side of the fourth lens element, and
r42 designates a paraxial radius-of-curvature of a surface on an eye side of the fourth lens element.
3. The eyepiece optical system according to claim 1 , wherein the following condition is satisfied:
−1.0< f/f 1<0.07, and
f1 designates a focal length of the first lens element.
4. The eyepiece optical system according to claim 1 , wherein
the following condition is satisfied:
−0.45< SF 2<0.25,
SF 2=( r 22+ r 21)/( r 22− r 21),
r21 designates a paraxial radius-of-curvature of a surface on an object side of the second lens element, and
r22 designates a paraxial radius-of-curvature of a surface on an eye side of the second lens element.
5. The eyepiece optical system according to claim 1 , wherein
the following condition is satisfied:
0.8< SF 3<1.55,
SF 3=( r 32+ r 31)/( r 32− r 31),
r31 designates a paraxial radius-of-curvature of a surface on an object side of the third lens element, and
r32 designates a paraxial radius-of-curvature of a surface on an eye side of the third lens element.
6. The eyepiece optical system according to claim 1 , wherein
said second lens element comprises an aspherical surface on an eye side of the second lens element, and
said aspherical surface reduces in curvature, relative to a paraxial spherical surface of said second lens, at positions increasingly farther away from an optical axis of said second lens.
7. The eyepiece optical system according to claim 1 , wherein
said third lens element comprises an aspherical surface on an object side of the third lens element, and
said aspherical surface reduces in curvature, relative to a paraxial spherical surface of said third lens, at positions increasingly farther away from an optical axis of said third lens.
8. The eyepiece optical system according to claim 1 , wherein
said fourth lens element comprises an aspherical surface on an eye side of the fourth lens element, and
said aspherical surface reduces in curvature, relative to a paraxial spherical surface of said fourth lens, at positions increasingly farther away from an optical axis of said fourth lens.
9. The eyepiece optical system according to claim 1 , wherein
said first lens element is a negative meniscus lens element having the concave surface on the object side of the first lens element,
said second lens element is a biconvex positive lens element,
said third lens element is a negative meniscus lens element having a concave surface on an object side of the third lens element, and
said fourth lens element is a positive meniscus lens element having a concave surface on an object side of the fourth lens element.
10. The eyepiece optical system according to claim 1 , wherein
said first lens element is a positive meniscus lens element having the concave surface on the object side of the first lens element,
said second lens element is a biconvex positive lens element,
said third lens element is a negative meniscus lens element having a concave surface on an object side of the third lens element, and
said fourth lens element is a positive meniscus lens element having a concave surface on an object side of the fourth lens element.
11. The eyepiece optical system according to claim 1 , wherein
said first lens element is a negative meniscus lens element having the concave surface on the object side of the first lens element,
said second lens element is a biconvex positive lens element,
said third lens element is a biconcave negative lens element, and
said fourth lens element is a biconvex positive lens element.