The Design of Double Gauss Systems Using Digital Computers

M. J. Kidger; C. G. Wynne

doi:10.1364/AO.6.000553

Applied Optics
Vol. 6,
Issue 3,
pp. 553-563
(1967)
•https://doi.org/10.1364/AO.6.000553

The Design of Double Gauss Systems Using Digital Computers

M. J. Kidger and C. G. Wynne

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M. J. Kidger and C. G. Wynne, "The Design of Double Gauss Systems Using Digital Computers," Appl. Opt. 6, 553-563 (1967)

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Abstract

A general study of the design of lenses of double Gauss type and derivatives of these has been carried out, with the lenses optimized at an aperture of f/2 and a field angle of ±20°. The results indicate that the number of optimized designs is small for all of the constructions that were investigated. Numerical examples for several designs are given.

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Curvature	Separation	n_d	ν
Design 3
1.5341
	0.1244	1.69100	54.80
0.4287
	0.0000	1.0	—
2.6976
	0.0977	1.69100	54.80
1.5174
	0.0300	1.62576	35.74
4.0071
	0.2235	1.0	—
0^a
	0.0899	1.0	—
−2.3638
	0.0300	1.72800	28.90
1.7908
	0.2283	1.69100	54.80
−1.9873
	0.0000	1.0	—
0.6896
	0.1258	1.72800	28.90
−0.6269
Design 4
1.3764
	0.0941	1.70000	41.18
0.2859
	0.0473	1.0	—
2.2460
	0.2111	1.62253	60.32
−0.2620
	0.0300	1.74842	27.85
3.4205
	0.0584	1.0	—
0^a
	0.1781	1.0	—
−3.6163
	0.0300	1.57453	42.62
−1.1260
	0.0641	1.69100	54.80
−2.5917
	0.0000	1.0	—
0.5897
	0.1066	1.69100	54.80
−1.3418

Curvature	Separation	n_d	ν
Design 8
1.0520
	0.0943	1.69100	54.80
0.1197
	0.0000	1.0	—
1.8992
	0.0460	1.69100	54.80
1.5301
	0.0000	1.0	—
2.4177
	0.1017	1.57612	43.35
0.4982
	0.0913	1.74842	27.85
3.6122
	0.1227	1.0	—
0^a
	0.0191	1.0	—
−1.7674
	0.0300	1.57612	43.35
1.9453
	0.2096	1.69100	54.80
−1.3214
	0.0000	1.0	—
0.6746
	0.1236	1.69100	54.80
−0.4272
Design 9
1.1384
	0.0677	1.69100	54.80
0.1969
	0.0000	1.0	—
1.8498
	0. 2676	1.69100	54.80
0.7231
	0.0300	1.74842	27.85
3.0130
	0.0379	1.0	—
0^a
	0.2299	1.0	—
−3.2274
	0.0300	1.61323	36.92
0.8166
	0.1418	1.69100	54.80
−1.9760
	0.0000	1.0	—
−0.0802
	0.0873	1.69100	54.80
−1.1690
	0.0000	1.0	—
0.6081
	0.0798	1.69100	54.80
−0.2517

Curvature	Separation	n_d	ν
Design 13
1.1800
	0.1092	1.69100	54.80
0.0891
	0.0000	1.0	—
2.1868
	0.1760	1.69100	54.80
1.4595
	0.0234	1.0	—
0.4841
	0.0441	1.74842	27.85
2.9518
	0.0703	1.0	—
−1.8544
	0.0300	1.57453	42.62
0.8507
	0.0797	1.69100	54.80
−1.3591
	0.0000	1.0	—
0^a
	0.0000	1.0	—
0.8861
	0.3510	1.69100	54.80
−0.8968
Design 14
0.9987
	0.0613	1.72300	37.99
0.0596
	0.0000	1.0	—
1.8769
	0.2407	1.69100	54.80
−0.3386
	0.0300	1.74842	27.85
2.5997
	0.0355	1.0	—
0^a
	0.0640	1.0	—
−1.7254
	0.1157	1.65348	33.48
0.7323
	0.0180	1.0	—
−0.4180
	0.0543	1.72300	37.99
−1.6745
	0.0000	1.0	—
1.1872
	0.2815	1.69100	54.80
−0.7000

System type	Design nos.	No. of minima
Double Gauss, infinite conjugates	3,4	2
Double Gauss, unit magnification	5,6,7	3
Double Gauss with split front	8,10	2
Double Gauss with split back	9	1
Double Gauss with central negative component	11 ≡ 13 ≡ 15	2
Double Gauss with central negative component	12 ≡ 14 ≡ 16

Curvature	Separation	n_d	ν
Design 3
1.5341
	0.1244	1.69100	54.80
0.4287
	0.0000	1.0	—
2.6976
	0.0977	1.69100	54.80
1.5174
	0.0300	1.62576	35.74
4.0071
	0.2235	1.0	—
0^a
	0.0899	1.0	—
−2.3638
	0.0300	1.72800	28.90
1.7908
	0.2283	1.69100	54.80
−1.9873
	0.0000	1.0	—
0.6896
	0.1258	1.72800	28.90
−0.6269
Design 4
1.3764
	0.0941	1.70000	41.18
0.2859
	0.0473	1.0	—
2.2460
	0.2111	1.62253	60.32
−0.2620
	0.0300	1.74842	27.85
3.4205
	0.0584	1.0	—
0^a
	0.1781	1.0	—
−3.6163
	0.0300	1.57453	42.62
−1.1260
	0.0641	1.69100	54.80
−2.5917
	0.0000	1.0	—
0.5897
	0.1066	1.69100	54.80
−1.3418

Abstract

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Tables (4)

Applied Optics