Fish eye lens system

• US 4,647,161 A
• Filed: 06/24/1985
• Issued: 03/03/1987
• Est. Priority Date: 05/20/1981
• Status: Expired due to Fees

• Current Assignee: Rolf Muller
• Original Assignee: Rolf Muller
• Inventors: Muller, Rolf
• Primary Examiner(s): Corbin, John K.
• Assistant Examiner(s): Gass, Rebecca D.
• Application Number:
  US06/748,228
• Time in Patent Office: 617 Days
• Field of Search: 350/462, 350/469, 350/439, 350/450
• US Class Current: 359/753
• CPC Class Codes: G02B 13/04 Reversed telephoto objectives

Abstract

A high performance medium speed fish eye lens system is provided, capable of compensating all aberrations except the distortion at an aperture ratio of at least 1:4.2. The lens system consists of a first lens group (G1) of negative refractive power including two negative lenses curved towards the object, a middle positive lens component (G2) curved towards the object, which lens component can be composed of a cemented doublet, and a last lens group (G3) of positive refractive power consisting of a cemented doublet or a cemented doublet and an additional positive single lens both curved towards the image.

Claims

1. A six element fish eye lens system comprising from the object to the image side:

a first meniscus shaped lens (L1) of negative refractive power curved towards the object,

a second lens (L2) of negative refractive power curved towards the object,

a third positive meniscus lens (L3) of positive refractive power curved towards the object,

an aperture stop (B),

a fourth lens (L4) of positive refractive power curved towards the image,

a fifth meniscus shaped lens (L5) of negative refractive power curved towards the image, which lens (L5) is cemented with the fourth lens (L4), and

a sixth meniscus shaped positive lens (L6) curved towards the image.

2. A six element fish eye lens system according to claim 1 satisfying the following conditions:

space="preserve" listing-type="tabular">______________________________________ 0.6 <

f.sub.I /f <

1.2 (1) 1.0 <

d.sub.4 /f <

1.5 (2) 0.75 <

r.sub.4 /f <

1.1 (3) 1.5 <

f.sub.II /f <

2.5 (4) 30 <

v.sub.II <

45 (5) 0.5 <

d.sub.II /f <

0.95 (6) 2.1 <

f.sub.III /f <

4.0 (7) 0.7 <

f.sub.p /f <

1.25 (8) 1.15 <

n.sub.N /n.sub.P (9) v.sub.N /v.sub.P <

0.5 (10) 0.45 <

r.sub.IV /f <

0.75 (11) ______________________________________

Wherein;

f represents the effective paraxial focal length of the whole lens system,

f_I represents the focal length of the first lens group (G1),

r₄ represents the fourth radius of the lens system,

d₄ represents the distance between the last surface of the first lens group (G1) and the first surface of the next lens (G2),

f_II represents the focal length of the middle lens component (G2),

v_II represents the resulting Abbe-number of the middle lens component (G2),

d_II represents the distance between the last surface of the middle lens component (G2) and the first surface of the last lens group (G3),

f_III represents the focal length of the last lens group (G3),

f_P represents the focal length of the first positive lens of the last lens group (G3),

n_P represents the refractive index of the first positive lens of the last lens group (G3),

v_P represents the Abbe-number of the first positive lens of the last lens group (G3),

n_N represents the refractive index of the negative lens of the last lens group (G3)

v_N represents the Abbe-number of the negative lens of the last lens group (G3), and

r_IV represents the radius of the cemented surfaces between the first positive and the negative lens of the last lens group (G3).

3. A fish eye lens system according to claim 2 having the following design parameters, wherein

ri represents the radius of the i-th lens surface,

di represents the distance between the i-th and the next lens surface,

ni represents the refraction index of the i-th lens,

vi represents the Abbe'"'"'s number of the i-th lens,

S'"'"' represents the back focal length,

f represents the effective paraxial focal length,

f_res represents the resulting focal length, which provides maximum visual contrast at opened aperture stop,

dB represents the distance between the aperture stop and the lens surface preceding it on the object side,

2×

Sigma 1 represents the total field angle;

space="preserve" listing-type="tabular">______________________________________ L1 r1 = 48.23 d1 = 1.33 n1 = 1.62041 v1 = 60.33 r2 = 18.18 d2 = 11.83 L2 r3 = 120 d3 = 1.7 n2 = 1.63854 v2 = 55.42 r4 = 13.3 d4 = 17.8 L3 r5 = 15.3 d5 = 3.2 n3 = 1.65446 v3 = 33.65 r6 = 70.0 d6 = 10.86 dB = 8.6 L4 r7 = 47.0 d7 = 3.5 n4 = 1.5168 v4 = 64.17 L5 r8 = -8.34 d8 = 1.55 n5 = 1.80518 v5 = 25.43 r9 = -22.8 d9 = 0.1 L6 r10 = -35.7 d10 = 1.5 n6 = 1.6727 v6 = 32.21 r11 = -24.0 ______________________________________ f = 15.9570;

f.sub.res = 15.8603;

S'"'"' = 36.9697;

2x Sigma1 = 155.9

4. A fish eye lens system according to claim 2 having the following design parameters, wherein

ri represents the radius of the i-th lens surface,

di represents the distance between the i-th and the

ni represents the refraction index of the i-th lens,

vi represents the Abbe'"'"'s number of the i-th lens,

S'"'"' represents the back focal length,

f represents the effective paraxial focal length,

f_res represents the resulting focal length, which provides maximum visual contrast at opened aperture stop,

dB represents the distance between the aperture stop and the lens surface preceding it on the object side,

2×

Sigma 1 represents the total field angle;

space="preserve" listing-type="tabular">______________________________________ L1 r1 = 58.0 d1 = 1.6 n1 = 1.62041 v1 = 60.33 r2 = 21.0 d2 = 12.8 L2 r3 = 115.0 d3 = 1.4 n2 = 1.6583 v2 = 57.26 r4 = 14.4 d4 = 18.8 L3 r5 = 18.0 d5 = 3.52 n3 = 1.71736 v3 = 29.51 r6 = 58.8 d6 = 11.62 dB = 8.7 L4 r7 = 60.0 d7 = 3.86 n4 = 1.57957 v4 = 53.71 L5 r8 = -8.73 d8 = 1.73 n5 = 1.84666 v5 = 23.83 r9 = -25.0 d9 = 0.1 L6 r10 = -30.0 d10 = 1.8 n6 = 1.7495 v6 = 34.95 r11 = -20.0 ______________________________________ f = 15.1832;

f.sub.res = 15.1144;

S'"'"' = 36.8231;

2x Sigma1 = 170

5. A six element fish eye lens system according to claim 2 comprising a plane-parallel filter element (F) between the lens elements.

6. A fish eye lens system according to claim 5 having the following design parameters, wherein

ri represents the radius of the i-th lens surface,

di represents the distance between the i-th and the

ni represents the refraction index of the i-th lens,

vi represents the Abbe'"'"'s number of the i-th lens,

S'"'"' represents the back focal length,

f represents the effective paraxial focal length,

f_res represents the resulting focal length, which provides maximum visual contrast at opened aperture stop,

dB represents the distance between the aperture stop and the lens surface preceding it on the object side,

2×

Sigma 1 represents the total field angle;

space="preserve" listing-type="tabular">______________________________________ L1 r1 = 39.0 d1 = 1.6 n1 = 1.62015 v1 = 63.52 r2 = 17.175 d2 = 12.9 L2 r3 = 70.5 d3 = 1.4 n2 = 1.78831 v2 = 47.39 r4 = 14.025 d4 = 18.4 L3 r5 = 16.6 d5 = 3.5 n3 = 1.6727 v3 = 32.21 r6 = 90.0 d6 = 5.0 F r7 = ∞

d7 = 1.0 n4 = 1.54 v4 = 60 r8 = ∞

d8 = 5.565 dB = 3.3 L4 r9 = 47.9 d9 = 3.61 n5 = 1.48656 v5 = 84.47 L5 r10 = -8.4 d10 = 0.775 n6 = 1.7618 v6 = 26.95 r11 = -25.0 d11 = 0.1 L6 r12 = -31.5 d12 = 1.4 n7 = 1.75693 v7 = 31.8 r13 = -20.1 ______________________________________ f = 15.4525;

f.sub. res = 15.3677;

S'"'"' = 36.783;

2x Sigma1 = 153

7. A fish eye lens system according to claim 5 having the following design parameters, wherein

ri represents the radius of the i-th lens surface,

di represents the distance between the i-th and the next lens surface,

ni represents the refraction index of the i-th lens,

vi represents the Abbe'"'"'s number of the i-th lens,

S'"'"' represents the back focal length [and],

f represents the effective paraxial focal length,

f_res represents the resulting focal length, which provides maximum visual contrast at opened aperture stop,

dB represents the distance between the aperture stop and the lens surface preceding it on the object side,

2×

Sigma 1 represents the total field angle;

space="preserve" listing-type="tabular">______________________________________ L1 r1 = 45.66 d1 = 1.62 n1 = 1.78831 v1 = 47.39 r2 = 17.71 d2 = 13.8 L2 r3 = 81.2 d3 = 1.42 n2 = 1.62015 v2 = 63.52 r4 = 14.865 d4 = 18.265 L3 r5 = 17.453 d5 = 3.501 n3 = 1.72047 v3 = 34.61 r6 = 80.0 d6 = 5.3 F r7 = ∞

d7 = 1.0 n4 = 1.54 v4 = 60 r8 = ∞

d8 = 6.18 dB = 3.9 L4 r9 = 44.45 d9 = 3.8 n5 = 1.48656 v5 = 84.47 r10 = -9.0 d10 = 0.88 n6 = 1.7618 v6 = 26.95 L5 r11 = -25.0 d11 = 0.1 L6 r12 = -40.0 d12 = 1.5 n7 = 1.75693 v7 = 31.8 r13 = -26.7 ______________________________________ f = 15.6479;

f.sub.res = 15.5519;

S'"'"' = 36.8124;

2x Sigma1 = 153.3

8. A fish eye lens system according to claim 5 having the following design parameters, wherein

ri represents the radius of the i-th lens surface,

di represents the distance between the i-th and the next lens surface,

ni represents refraction index of the i-th lens,

vi represents the Abbe'"'"'s number of the i-th lens,

S'"'"' represents the back focal length [and],

f represents the effective paraxial focal length,

f_res represents the resulting focal length, which provides maximum visual contrast at opened aperture stop,

dB represents the distance between the aperture stop and the lens surface preceding it on the object side,

2×

Sigma 1 represents the total field angle;

space="preserve" listing-type="tabular">______________________________________ L1 r1 = 51.5 d1 = 1.6 n1 = 1.77314 v1 = 49.59 r2 = 18.5 d2 = 13.5 L2 r3 = 57.1 d3 = 1.4 n2 = 1.77314 v2 = 49.59 r4 = 14.05 d4 = 19.4 L3 r5 = 16.9 d5 = 3.408 n3 = 1.71736 v3 = 29.51 r6 = 71.0 d6 = 5.34 F r7 = ∞

d7 = 1.0 n4 = 1.54 v4 = 60 r8 = ∞

d8 = 5.5 dB = 3.0 L4 r9 = 49.0 d9 = 3.61 n5 = 1.48656 v5 = 84.47 L5 r10 = -8.93 d10 = 0.75 n6 = 1.80518 v6 = 25.43 r11 = -22.8 d11 = 0.1 L6 r12 = -44.0 d12 = 1.4 n7 = 1.72373 v7 = 38.62 r13 = -25.7 ______________________________________ f = 14.0624;

f.sub. res = 13.9762;

S'"'"' = 36.8262;

2x Sigma1 = 175

9. A fish eye lens system according to claim 5 having the following design parameters, wherein

ri represents the radius of the i-th lens surface,

di represents the distance between the i-th and the next lens surface,

ni represents the refraction index of the i-th lens,

vi represents the Abbe'"'"'s number of the i-th lens,

S'"'"' represents the back focal length [and],

f represents the effective paraxial focal length,

f_res represents the resulting focal length, which provides maximum visual contrast at opened aperture stop,

dB represents the distance between the aperture stop and the lens surface preceding it on the object side,

2×

Sigma 1 represents the total field angle;

space="preserve" listing-type="tabular">______________________________________ L1 r1 = 39.69 d1 = 1.5 n1 = 1.744 v1 = 44.77 r2 = 17.5 d2 = 13.44 L2 r3 = 97.0 d3 = 1.4 n2 = 1.6583 v2 = 57.26 r4 = 14.0 d4 = 16.6 F r5 = ∞

d5 = 1.0 n3 = 1.54 v3 = 60 r6 = ∞

d6 = 1.0 L3 r7 = 16.75 d7 = 3.4 n4 = 1.68134 v4 = 31.94 r8 = 90.0 d8 = 11.53 dB = 9.0 L4 r9 = 49.3 d9 = 3.6 n5 = 1.48656 v5 = 84.47 L5 r10 = -8.75 d10 = 0.65 n6 = 1.7847 v6 = 26.08 r11 = -24.2 d11 = 0.1 L6 r12 = -34.2 d12 = 1.2 n7 = 1.80741 v7 = 31.61 r13 = -22.5 ______________________________________ f = 15.5235;

f.sub. res = 15.4356;

S'"'"' = 37.1825;

2x Sigma1 = 153

10. A six element fish eye lens system comprising from the object to the image side:

a first meniscus shaped lens (L1) of negative refractive power curved towards the object,

a second lens (L2) of negative refractive power curved towards the object,

a first cemented doublet (L3;

L4;

C2) of positive refractive power curved towards the object,

an aperture stop (B), and

a second cemented doublet (L5;

L6;

G3) of positive refractive power curved towards the image.

11. A six element fish eye lens system according to claim 10 satisfying the following conditions:

space="preserve" listing-type="tabular">______________________________________ 0.6 <

f.sub.I /f <

1.2 (1) 1.0 <

d.sub.4 /f <

1.5 (2) 0.75 <

r.sub.4 /f <

1.1 (3) 1.5 <

f.sub.II /f <

2.5 (4) 30 <

v.sub.II <

45 (5) 0.5 <

d.sub.II /f <

0.95 (6) 2.1 <

f.sub.III /f <

4.0 (7) 0.7 <

f.sub.p /f <

1.25 (8) 1.15 <

n.sub.N /n.sub.P (9) v.sub.N /v.sub.P <

0.5 (10) 0.45 <

r.sub.IV /f <

0.75 (11) ______________________________________

Wherein;

f represents the effective paraxial focal length of the whole lens system,

f_I represents the focal length of the first lens group (G1),

r₄ represents the fourth radius of the lens system,

d₄ represents the distance between the last surface of the first lens group (G1) and the first surface of the next lens (G2),

f_II represents the focal length of the middle lens component (G2),

v_II represents the resulting Abbe-number of the middle lens component (G2),

d_II represents the distance between the last surface of the middle lens component (G2) and the first surface of the last lens group (G3),

f_III represents the focal length of the last lens group (G3),

f_p represents the focal length of the first positive lens of the last lens group (G3),

n_P represents the refractive index of the first positive lens of the last lens group (G3),

v_P represents the Abbe-number of the first positive lens of the last lens group (G3),

n_N represents the refractive index of the negative lens of the last lens group (G3)

v_N represents the Abbe-number of the negative lens of the last lens group (G3), and

r_IV represents the radius of the cemented surfaces between the first positive and the negative lens of the last lens group (G3).

12. A six element fish eye lens system according to claim 11 comprising a plane-parallel filter element (F) between the lens elements.

13. A fish eye lens system according to claim 12 having the following design parameters, wherein

ri represents the radius of the i-th lens surface,

di represents the distance between the i-th and the next lens surface,

ni represents the refraction index of the i-th lens,

vi represents the Abbe'"'"'s number of the i-th lens,

S'"'"' represents the back focal length [and],

f represents the effective paraxial focal length,

f_res represents the resulting focal length, which provides maximum visual contrast at opened aperture stop,

dB represents the distance between the aperture stop and the lens surface preceding it on the object side,

2×

Sigma 1 represents the total field angle;

space="preserve" listing-type="tabular">______________________________________ L1 r1 = 53.9 d1 = 1.6 n1 = 1.6209 v1 = 60.31 r2 = 19.7 d2 = 12.8 L2 r3 = -335.0 d3 = 1.4 n2 = 1.48656 v2 = 84.47 r4 = 13.85 d4 = 17.85 L3 r5 = 16.4 d5 = 2.3 n3 = 1.69761 v3 = 38.57 L4 r6 = -75.0 d6 = 0.8 n4 = 1.69981 v4 = 34.68 r7 = 68.0 d7 = 3.94 F r8 = ∞

d8 = 1.0 n5 = 1.54 v5 = 60 r9 = ∞

d9 = 6.45 dB = 4.0 L5 r10 = 57.5 d10 = 3.7 n6 = 1.53315 v6 = 57.98 L6 r11 = -8.25 d11 = 2.76 n7 = 1.80518 v7 = 25.43 r12 = -18.4 ______________________________________ f = 16.8581;

f.sub.res = 16.7559;

S'"'"' = 36.8910;

2x Sigma1 = 152.3

14. A fish eye lens system according to claim 12 having the following design parameters, wherein

16. A fish eye lens system according to claim 12 having the following design parameters, wherein

ri represents the radius of the i-th lens surface,

di represents the distance between the i-th and the next lens surface,

ni represents the refraction index of the i-th lens,

vi represents the Abbe'"'"'s number of the i-th lens,

S'"'"' represents the back focal length [and],

f represents the effective paraxial focal length,

f_res represents the resulting focal length, which provides maximum visual contrast at opened aperture stop,

dB represents the distance between the aperture stop and the lens surface preceding it on the object side,

2×

Sigma 1 represents the total field angle;

space="preserve" listing-type="tabular">______________________________________ L1 r1 = 54.45 d1 = 1.6 n1 = 1.6968 v1 = 55.41 r2 = 18.26 d2 = 13.86 L2 r3 = 74.25 d3 = 1.4 n2 = 1.69673 v2 = 56.42 r4 = 14.01 d4 = 17.12 F r5 = ∞

d5 = 1.0 n3 = 1.54 v3 = 60 r6 = ∞

d6 = 1.0 L3 r7 = 16.5 d7 = 0.9 n4 = 1.6779 v4 = 55.2 L4 r8 = 11.9 d8 = 2.5 n5 = 1.68064 v5 = 37.18 r9 = 78.0 d9 = 10.87 dB = 8.7 L5 r10 = 48.51 d10 = 3.58 n6 = 1.48656 v6 = 84.47 L6 r11 = -8.3 d11 = 1.75 n7 = 1.80518 v7 = 25.43 r12 = -16.3844 ______________________________________ f = 14.4138;

f.sub.res = 14.3341;

S'"'"' = 36.9519;

2x Sigma1 = 170

15. ri represents the radius of the i-th lens surface,

di represents the distance between the i-th and the next lens surface,

ni represents the refraction index of the i-th lens,

vi represents the Abbe'"'"'s number of the i-th lens,

S'"'"' represents the back focal length [and],

f represents the effective paraxial focal length,

f_res represents the resulting focal length, which provides maximum visual contrast at opened aperture stop,

dB represents the distance between the aperture stop and the lens surface preceding it on the object side,

2×

Sigma 1 represents the total field angle;

space="preserve" listing-type="tabular">______________________________________ L1 r1 = 39.0 d1 = 1.5 n1 = 1.78831 v1 = 47.39 r2 = 17.3 d2 = 13.67 L2 r3 = 105.0 d3 = 1.4 n2 = 1.62015 v2 = 63.52 r4 = 14.5 d4 = 16.65 F r5 = ∞

d5 = 1.0 n3 = 1.54 v3 = 60 r6 = ∞

d6 = 1.0 L3 r7 = 17.17 d7 = 1.0 n4 = 1.77314 v4 = 49.59 L4 r8 = 12.6 d8 = 3.0 n5 = 1.69761 v5 = 38.57 r9 = 100.0 d9 = 11.41 dB = 9.0 L5 r10 = 47.8 d10 = 3.7 n6 = 1.48656 v6 = 84.47 L6 r11 = -8.58 d11 = 1.25 n7 = 1.7618 v7 = 26.95 r12 = -17.77 ______________________________________ f = 15.4858;

f.sub.res = 15.4000;

S'"'"' = 36.9716;

2x Sigma1 = 151.4