Automatic Design of Telescope Doublets

R. E. Hopkins; Thomas Lauroesch

doi:10.1364/JOSA.45.000992

Journal of the Optical Society of America
Vol. 45,
Issue 11,
pp. 992-994
(1955)
•https://doi.org/10.1364/JOSA.45.000992

Automatic Design of Telescope Doublets

R. E. Hopkins and Thomas Lauroesch

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R. E. Hopkins and Thomas Lauroesch, "Automatic Design of Telescope Doublets," J. Opt. Soc. Am. 45, 992-994 (1955)

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Abstract

An I.B.M. Card Program Computer has been programmed to compute thin lens aplanatic doublets. Thirty-eight solutions are included in a table. One solution is completely ray traced after proper thicknesses are added to show the value of a thin lens solution.

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Tables (4)

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Equations (1)

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Glass values Element		Total curvatures		Individual surface curvatures				Case No.
a N_Da V_a	b N_Db V_b	c_a	c_b	c₁	c₂	c₃	c₄	Case No.
1.511	1.5795	0.5523	−0.3145	0.1652	−0.3871	−0.3802	−0.0658	1
63.5	41.0
1.511	1.621	0.4552	−0.2135	0.1658	−0.2893	−0.2848	−0.0713	2
63.5	36.2
1.511	1.649	0.4184	−0.1754	0.1660	−0.2525	−0.2499	−0.0746	3
63.5	33.8
1.511	1.689	0.3812	−0.1376	0.1659	−0.2152	−0.2163	−0.0787	4
63.5	30.9
1.511	1.720	0.3634	−0.1190	0.1659	−0.1975	−0.2009	−0.0819	5
63.5	29.3
1.511	1.8052	0.3270	−0.0833	0.1656	−0.1614	−0.1730	−0.0896	6
63.5	25.5
1.511	1.5705	0.8070	−0.5476	0.1563	−0.6507	−0.6351	−0.0875	7
63.5	48.1
1.511	1.5838	0.7101	−0.4503	0.1595	−0.5506	−0.5354	−0.0851	8
63.5	46.0
1.511	1.605	0.6245	−0.3622	0.1620	−0.4625	−0.4476	−0.0854	9
63.5	43.6
1.511	1.617	0.4798	−0.2353	0.1617	−0.3141	−0.3077	−0.0723	10
63.5	37.6
1.511	1.717	0.8123	−0.4394	0.1411	−0.6711	−0.6259	−0.1865	11
63.5	48.2
1.511	1.720	0.9415	−0.5293	0.1228	−0.8186	−0.7630	−0.2337	12
63.5	50.3
1.511	1.8037	0.5727	−0.2397	0.1631	−0.4095	−0.3779	−0.1382	13
63.5	41.8
1.517	1.689	0.3713	−0.1335	0.1648	−0.2065	−0.2091	−0.0756	14
64.5	30.9
1.611	1.5795	0.5516	−0.4090	0.1594	−0.3922	−0.4009	0.0080	15
58.3	41.0
1.611	1.617	0.4397	−0.2734	0.1538	−0.2859	−0.2903	−0.0170	16
58.3	36.6
1.611	1.621	0.4318	−0.2638	0.1535	−0.2782	−0.2824	−0.0186	17
58.3	36.2
1.611	1.649	0.3895	−0.2126	0.1525	−0.2369	−0.2403	−0.0277	18
58.3	33.8
1.611	1.689	0.3482	−0.1637	0.1519	−0.1963	−0.2002	−0.0366	19
58.3	30.9
1.611	1.720	0.3290	−0.1403	0.1518	−0.1773	−0.1819	−0.0416	20
58.3	29.3
1.611	1.689	0.3448	−0.1607	0.1519	−0.1930	−0.1973	−0.0366	21
58.8	30.9
1.620	1.617	0.3910	−0.2308	0.1521	−0.2389	−0.2459	−0.0151	22
62.3	36.6
1.620	1.649	0.3526	−0.1827	0.1510	−0.2016	−0.2080	−0.0253	23
62.3	33.8
1.620	1.7506	0.2904	−0.1067	0.1500	−0.1404	−0.1503	−0.0437	24
62.3	27.7
1.620	1.8052	0.2731	−0.0861	0.1498	−0.1232	−0.1362	−0.0502	25
62.3	25.5
1.620	1.8037	0.4902	−0.2537	0.1490	−0.3412	−0.3253	−0.0716	26
62.3	41.8
1.638	1.617	0.4603	−0.3139	0.1527	−0.3075	−0.3144	−0.0005	27
55.5	36.6
1.638	1.649	0.4009	−0.2400	0.1503	−0.2506	−0.2551	−0.0151	28
55.5	33.8
1.638	1.689	0.3536	−0.1823	0.1493	−0.2044	−0.2083	−0.0260	29
55.5	30.9
1.638	1.720	0.3308	−0.1542	0.1490	−0.1818	−0.1861	−0.0319	30
55.5	29.2
1.5286	1.5497	1.6831	−1.437	0.1206	−1.563	−1.548	−0.1113	31
51.60	45.8
1.5286	1.5795	0.9209	−0.6675	0.1481	−0.7729	−0.7568	−0.0893	32
51.6	41.0
1.5286	1.621	0.6339	−0.3785	0.1584	−0.4755	−0.4604	−0.0819	33
51.6	36.2
1.5286	1.649	0.5484	−0.2926	0.1610	−0.3874	−0.3736	−0.0810	34
51.6	33.8
1.5286	1.689	0.4716	−0.2167	0.1629	−0.3087	−0.2975	−0.0808	35
51.6	30.9
1.5268	1.72	0.4378	−0.1825	0.1635	−0.2742	−0.2646	−0.0822	36
51.6	29.3
1.5286	1.72	0.4981	−0.2268	0.1623	−0.3357	−0.3193	−0.0926	37
51.6	32.0
1.5186	1.76	0.4378	−0.1729	0.1639	−0.2738	−0.2620	−0.08913	38
51.6	29.3

Lens specification				Third-order aberrations^a
c	t	N	V	B	F	a
0.1519				−0.00119	0.000079	−0.0000701
	0.5700	1.611	58.3
−0.1963					f′=9.96095
	0.004654	1.0			1′=9.559018
−0.2000
	0.3000	1.689	30.9
−0.03656
Ray trace data
Y₁	H′_D	H′_F	H′_C	H′ is the height of the ray in the D light paraxial focal plane
1.53	0.002787	0.006859	0.003156
1.40	0.001046	0.004224	0.001572
1.10	−0.0003677	0.001367	0.0003026

Lens specification				Third-order aberrations
c	t	N	V	B	F	a
0.16296				−0.001196	0.000001	−0.000294
	0.5700	1.611	58.3
−0.18524					f′=9.87540
	0.06169	1.0			1′=9.258076
−0.19459
	0.3000	1.689	30.9
−0.031152

Ray trace data
Y₁	H′_D	H′_F	H′_C
1.53	0.001486	0.00329	0.00184
1.40	0.000348	0.00159	0.000820
1.10	−0.000515	−0.000140	0.0000687
0.90	−0.000462	−0.000398	0.000103
0.60	−0.000192	−0.000323	0.000345

(a) Thin lens G-sum formulas	56 sec
(b) Thick lens third-order solution Table II	194
(c) Ray tracing Table II	720
(d) New third-order solution Table III	776
(e) Ray tracing Table III	1200
Total time	2946 sec
	49 min

Abstract

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Tables (4)

Equations (1)

Journal of the Optical Society of America