Design Procedure for Ritchey-Chrétien Corrector

B. J. Howell

doi:10.1364/AO.8.000685

Applied Optics
Vol. 8,
Issue 3,
pp. 685-695
(1969)
•https://doi.org/10.1364/AO.8.000685

Design Procedure for Ritchey-Chrétien Corrector

B. J. Howell

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B. J. Howell, "Design Procedure for Ritchey-Chrétien Corrector," Appl. Opt. 8, 685-695 (1969)

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Abstract

A four-lens corrector system to remove residual aberrations in a Ritchey-Chrétien telescope was selected as the means of studying the relative effectiveness of two design methods: a ray deviation error function and third order aberration theory. At several stages in the design, very significant improvements were made by switching from ray deviation results to aberration theory and then back to ray deviation design. The goal, a 300-cm focal length, f/10 diffraction-limited 1.2° flat field telescope for white light, was achieved. Lens data and system performance, including computed spot diagrams, are given for eight versions.

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	Start	Ray deviation design	Third order design	Ray deviation after third order design
Eccentricity of primary	1.0097	0.722336	1.050839	1.042701
Eccentricity of secondary	1.2550	0.986454	2.257537	2.217554
rms spot size (cm)	1.3 × 10⁻²	2.3 × 10⁻⁴	1.3 × 10⁻⁵	2.5 × 10⁻⁶

Version 0

Radius (cm)	Thickness (cm)	n_C	n_d	n_F
−152.3086^a	−51.8160	−1.0	−1.0	−1.0
−72.9945^b	41.9176	1.0	1.0	1.0
		glass	541599
−27.3456	0.9500	1.53833	1.541	1.54736
23.0175	1.4148	1.0	1.0	1.0
		glass	611588
21.1734	1.3716	1.60793	1.611	1.61832
−45.7657	0.8839	1.0	1.0	1.0
		glass	611588
137.4587	1.3716	1.60793	1.611	1.61832
−15.4737	1.6916	1.0	1.0	1.0
		glass	541599
−11.8821	0.6096	1.53833	1.541	1.54736
35.2171	33.528	1.0	1.0	1.0
	(back focus)

Version 1 C Light design

Radius (cm)	Thickness (cm)	n_C	n_d	n_F
−152.3086^a	−51.8160	−1.0	−1.0	−1.0
−72.9814^b	41.9176	1.0	1.0	1.0
		glass	541599
−15.9421	0.9500	1.53833	1.541	1.54736
57.8463	1.4148	1.0	1.0	1.0
		glass	611588
54.9222	1.3716	1.60793	1.611	1.61832
−19.6573	0.8839	1.0	1.0	1.0
		glass	611588
49.2410	1.3716	1.60793	1.611	1.61832
−19.6878	1.6916	1.0	1.0	1.0
		glass	541599
−15.2468	0.6096	1.53833	1.541	1.54736
21.2912	33.4724	1.0	1.0	1.0
	(back focus)

Version 2 C Light design

Radius (cm)	Thickness (cm)	n_C	n_d	n_F
−152.3086^a	−51.8160	−1.0	−1.0	−1.0
−72.9945^b	41.9176	1.0	1.0	1.0
		glass	541599
−17.1146	0.9500	1.53833	1.541	1.54736
46.3293	1.4148	1.0	1.0	1.0
		glass	611588
50.6489	1.3716	1.60793	1.611	1.61832
−20.5938	0.8839	1.0	1.0	1.0
		glass	611588
48.3079	1.3716	1.60793	1.611	1.61832
−19.5312	1.6916	1.0	1.0	1.0
		541599		glass
−15.0907	0.6096	1.53833	1.541	1.54736
21.6033	33.4797	1.0	1.0	1.0
	(back focus)

Version 3

Radius (cm)	Thickness (cm)	n_C	n_d	n_F
−152.3086^a	−51.8160	−1.0	−1.0	−1.0
−72.9945^b	42.1035	1.0	1.0	1.0
		glass	541599
−24.8958	0.7812	1.53833	1.541	1.54736
26.1111	2.0320	1.0	1.0	1.0
		glass	611588
26.2473	2.0320	1.60793	1.611	1.61832
−31.1861	1.2700	1.0	1.0	1.0
		glass	611588
423.5584	1.1696	1.60793	1.611	1.61832
−15.7243	1.5971	1.0	1.0	1.0
		glass	541599
−12.3558	0.3048	1.53833	1.541	1.54736
41.0870	13.1840	1.0	1.0	1.0
	(back focus)

System version	Coma		Astigmatism		Distortion

	8	9	8	9	8	9
0	−0.0038	0.0040	−0.0020	0.0024	−0.0012	0.0016
1	−0.0030	0.0031	−0.0015	0.0017	−0.0009	0.0011
2	−0.0030	0.0031	−0.0015	0.0017	−0.0009	0.0011
3	−0.0037	0.0039	−0.0021	0.0024	−0.0014	0.0017
4	−0.0012	0.0019	−0.0005	0.0011	−0.0003	0.0007
5	−0.0008	0.0008	−0.0005	0.0005	−0.0004	0.0004
6	−0.0006	0.0007	−0.0003	0.0004	−0.0002	0.0003
7	−0.0005	0.0005	−0.0003	0.0003	−0.0003	0.0003
8	−0.0002	0.0003	−0.0001	0.0002	−0.0001	0.0002

System version	Spherical	Coma	Astigmatism	Distortion	Petzval	TAch	TAch
0	3.07–3	2.03–4	−3.21–5	2.81–4	−3.47–4	5.72–4	2.02–4
1	−2.47–5	3.31–5	−3.83–5	3.82–4	−4.19–2	−4.15–4	−7.23–4
2	−9.70–6	−5.48–6	−1.54–5	4.07–4	−3.35–4	−3.00–4	−6.11–4
3	−1.43–6	2.20–5	−1.28–5	3.08–4	−3.53–4	4.24–4	−7.21–4
4	−3.64–6	−2.30–6	−5.83–6	3.82–4	−2.96–3	2.62–4	−8.04–4
5	−9.58–5	−1.91–4	−2.48–4	1.69–4	−1.08–2	1.22–4	−3.14–5
6	−2.04–5	−6.21–6	1.35–6	4.60–4	−1.14–2	6.37–5	5.63–5
7	−1.89–5	−1.59–4	−2.89–4	1.35–4	−8.03–3	9.17–5	−5.31–5
8	−2.23–5	−1.86–6	7.51–6	5.40–4	−1.04–2	−1.02–4	1.87–4

Version 4

Radius (cm)	(cm)	Thickness n_C	n_d	n_F
The mirrors are the same Ritchey-Chrétien solution for Versions 2–8.
	42.1035	1.0	1.0	1.0
		glass	541599
−20.4192	0.7812	1.53833	1.541	1.54736
30.3551	2.032	1.0	1.0	1.0
		glass	611588
33.1423	2.032	1.60793	1.611	1.61832
−18.7342	1.2700	1.0	1.0	1.0
		glass	611588
54.8782	1.1696	1.60793	1.611	1.61832
−36.1149	1.5971	1.0	1.0	1.0
		glass	541599
−18.3410	0.3048	1.53833	1.541	1.54736
24.5453	33.4874	1.0	1.0	1.0
	(back focus)

Version 5

Radius (cm)	Thickness (cm)	n_c	n_d	n_F
	47.9003	1.0	1.0	1.0
		glass	PKS 1
−29.6444	0.2565	1.51499	1.51728	1.52242
22.7488	2.6252	1.0	1.0	1.0
		glass	KZFS 4
28.3401	1.2966	1.60922	1.6134	1.62319
−27.0372	1.8193	1.0	1.0	1.0
		glass	KZFS 4
90.2616	0.6893	1.60922	1.6134	1.62319
−29.2256	0.5990	1.0	1.0	1.0
		glass	F 1
−27.0728	0.3603	1.62072	1.62588	1.63828
27.5103	27.7795	1.0	1.0	1.0
	(back focus)

Version 6

Radius (cm)	Thickness (cm)	n_c	n_d	n_F
	47.1528	1.0	1.0	1.0
		glass	PKS 1
−32.0766	0.2286	1.51499	1.51728	1.52242
21.7638	1.9923	1.0	1.0	1.0
		glass	KZFS 4
37.2154	0.6212	1.60922	1.6134	1.62319
−24.8122	1.9529	1.0	1.0	1.0
		glass	KZFS 4
75.1381	0.3932	1.60922	1.6134	1.62319
−33.0210	0.5405	1.0	1.0	1.0
		glass	F 1
−27.0188	2.2860	1.62072	1.62588	1.63828
33.9565	27.7800
	(back focus)

Version 7

Radius (cm)	Thickness (cm)	n_C	n_d	n_F
	50.5216	1.0	1.0	1.0
		glass	PK 50
−25.4134	0.2565	1.51824	1.52054	1.52571
25.7392	2.4068	1.0	1.0	1.0
		glass	KZFSN 4
31.5027	1.2799	1.60924	1.6134	1.62309
−24.4095	1.6488	1.0	1.0	1.0
		glass	KZFSN 4 (modified)
148.0131	0.6335	1.622266	1.626614	1.636867
−32.8015	0.8339	1.0	1.0	1.0
		glass	F 1
−29.2288	0.6415	1.62074	1.62588	1.63827
29.2610	23.8684	1.0	1.0	1.0
	(back focus)

Version 8

Radius (cm)	Thickness (cm)	n_C	n_d	n_F
	49.6497	1.0	1.0	1.0
			PK 50
−33.5072	0.2286	1.51824	1.52054	1.52571
22.7743	1.7184	1.0	1.0	1.0
			KZFSN 4
60.2867	0.7700	1.60924	1.6134	1.62309
−24.5215	1.7038	1.0	1.0	1.0
			KZFSN 4
146.6803	2.5400	1.60924	1.6134	1.62309
−37.0401	1.2059	1.0	1.0	1.0
			F 1
−29.2794	0.4276	1.62074	1.62588	1.63827
59.6079	23.8684	1.0	1.0	1.0
	(back focus)

Abstract

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Figures (21)

Tables (12)

Applied Optics