Automatic Correction of the Aberrations of Complex Optical Systems

D. S. Volosov; N. V. Zeno

doi:10.1364/AO.8.000289

Applied Optics
Vol. 8,
Issue 2,
pp. 289-292
(1969)
•https://doi.org/10.1364/AO.8.000289

Automatic Correction of the Aberrations of Complex Optical Systems

D. S. Volosov and N. V. Zeno

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D. S. Volosov and N. V. Zeno, "Automatic Correction of the Aberrations of Complex Optical Systems," Appl. Opt. 8, 289-292 (1969)

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Abstract

A succession of the computation of complicated optical systems and a method for automatic correction of their aberrations with the help of computers are described. The developed method provides for both the constant optical parameters and the alternating optical parameters systems. The efficiency of this method is illustrated by examples of computation of two complicated optical systems.

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r_i	Initial system	Final system	d_i	Initial system	Final system	n_c	n_D
r₁	733.32	739.74	d₁	5.93	5.92	1.60085	1.6038
r₂	172.64	174.276	d₂	53.18	53.40	—	—
r₃	80.274	79.014	d₃	5.40	5.40	1.60273	1.6067
r₄	44.195	45.609	d₄	24.23	24.16	1.60085	1.6038
r₅	274.392	268.19	d₅	1.79	1.79	—	—
r₆	37.312	37.523	d₆	5.45	5.47	1.79716	1.8060
r₇	31.949	31.837	d₇	34.74	34.07	—	—
r₈	−37.595	−37.802	d₈	3.54	3.48	1.79716	1.8060
r₉	−43.037	−43.520	d₉	1.80	1.79	—	—
r₁₀	−885.42	−899.22	d₁₀	6.0	5.96	1.52085	1.52357
r₁₁	−885.42	−888.24	d₁₁	25.21	24.50	1.61001	1.6130
r₁₂	−41.263	−39.648	d₁₂	5.25	5.20	1.60907	1.6138
r₁₃	−74.496	−72.498	d₁₃	119.15	116.52	—	—
r₁₄	−98.748	−95.556	d₁₄	6.14	6.095	1.60907	1.6138
r₁₅	−297.77	−282.03	d₁₅	6.38	6.34	—	—
r₁₆	∞	∞	d₁₆	7.20	7.20	1.51390	1.51630
r₁₇	∞	∞

r_i	Initial system	Final system	d_i	Initial system	Final system	n
r₁	43.85	42.899	d₁	9.2	8.225	1.7424
r₂	−50.23	−50.130	d₂	1.23	1.206	1.7398
r₃	354.0	319.20	d₃	0.25	0.25	—
r₄	77.80	77.427	d₄	1.03	1.014	1.5163
r₅	16.4	16.783	d₅	4.66	4.241	—
r₆	−27.42	−27.935	d₆	0.69	0.682	1.5163
r₇	15.20	16.396	d₇	2.34	2.267	1.7550
r₈	40.55	40.338	d₈	17.9	17.9	—
r₉	31.92	31.123	d₉	0.63	0.624	1.7550
r₁₀	20.32	20.510	d₁₀	0.035	0.035	—
r₁₁	16.94	17.396	d₁₁	0.8	0.789	1.5163
r₁₂	−271.6	−273.63	d₁₂	7.1104	6.037	—
r₁₃	9.638	9.6914	d₁₃	3.8	4.229	1.7398
r₁₄	172.2	169.79	d₁₄	1.5	1.53	—
r₁₅	−8.872	−9.3757	d₁₅	1.1	1.181	1.8060
r₁₆	15.49	15.117	d₁₆	0.52	0.52	—
r₁₇	−18.88	−18.351	d₁₇	2.3	2.649	1.6919
r₁₈	−7.413	−7.8862	d₁₈	0.01	0.01	—
r₁₉	18.03	19.073	d₁₉	2.1	2.186	1.7424
r₂₀	−23.55	−23.720	d₂₀	0.01	0.01	—
r₂₁	7.980	8.0594	d₂₁	1.9	1.776	1.8060
r₂₂	6.548	7.2142	—	—	—	—

Variable separation between surfaces d₃ and d₈ for various focus lengths

d	f′_min = 8.958	f′ = 16.08	f′_max = 22.848
d₃	0.25	16.05	21.936
d₈	17.906	8.853	0.25

r_i	Initial system	Final system	d_i	Initial system	Final system	n_c	n_D
r₁	733.32	739.74	d₁	5.93	5.92	1.60085	1.6038
r₂	172.64	174.276	d₂	53.18	53.40	—	—
r₃	80.274	79.014	d₃	5.40	5.40	1.60273	1.6067
r₄	44.195	45.609	d₄	24.23	24.16	1.60085	1.6038
r₅	274.392	268.19	d₅	1.79	1.79	—	—
r₆	37.312	37.523	d₆	5.45	5.47	1.79716	1.8060
r₇	31.949	31.837	d₇	34.74	34.07	—	—
r₈	−37.595	−37.802	d₈	3.54	3.48	1.79716	1.8060
r₉	−43.037	−43.520	d₉	1.80	1.79	—	—
r₁₀	−885.42	−899.22	d₁₀	6.0	5.96	1.52085	1.52357
r₁₁	−885.42	−888.24	d₁₁	25.21	24.50	1.61001	1.6130
r₁₂	−41.263	−39.648	d₁₂	5.25	5.20	1.60907	1.6138
r₁₃	−74.496	−72.498	d₁₃	119.15	116.52	—	—
r₁₄	−98.748	−95.556	d₁₄	6.14	6.095	1.60907	1.6138
r₁₅	−297.77	−282.03	d₁₅	6.38	6.34	—	—
r₁₆	∞	∞	d₁₆	7.20	7.20	1.51390	1.51630
r₁₇	∞	∞

r_i	Initial system	Final system	d_i	Initial system	Final system	n
r₁	43.85	42.899	d₁	9.2	8.225	1.7424
r₂	−50.23	−50.130	d₂	1.23	1.206	1.7398
r₃	354.0	319.20	d₃	0.25	0.25	—
r₄	77.80	77.427	d₄	1.03	1.014	1.5163
r₅	16.4	16.783	d₅	4.66	4.241	—
r₆	−27.42	−27.935	d₆	0.69	0.682	1.5163
r₇	15.20	16.396	d₇	2.34	2.267	1.7550
r₈	40.55	40.338	d₈	17.9	17.9	—
r₉	31.92	31.123	d₉	0.63	0.624	1.7550
r₁₀	20.32	20.510	d₁₀	0.035	0.035	—
r₁₁	16.94	17.396	d₁₁	0.8	0.789	1.5163
r₁₂	−271.6	−273.63	d₁₂	7.1104	6.037	—
r₁₃	9.638	9.6914	d₁₃	3.8	4.229	1.7398
r₁₄	172.2	169.79	d₁₄	1.5	1.53	—
r₁₅	−8.872	−9.3757	d₁₅	1.1	1.181	1.8060
r₁₆	15.49	15.117	d₁₆	0.52	0.52	—
r₁₇	−18.88	−18.351	d₁₇	2.3	2.649	1.6919
r₁₈	−7.413	−7.8862	d₁₈	0.01	0.01	—
r₁₉	18.03	19.073	d₁₉	2.1	2.186	1.7424
r₂₀	−23.55	−23.720	d₂₀	0.01	0.01	—
r₂₁	7.980	8.0594	d₂₁	1.9	1.776	1.8060
r₂₂	6.548	7.2142	—	—	—	—

Abstract

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Figures (4)

Tables (2)

Equations (4)

Applied Optics