<i>Ab initio</i> synthesis of linearly compensated zoom lenses by evolutionary programming

Sourav Pal; Lakshminarayan Hazra

doi:10.1364/AO.50.001434

Applied Optics
Vol. 50,
Issue 10,
pp. 1434-1441
(2011)
•https://doi.org/10.1364/AO.50.001434

Ab initio synthesis of linearly compensated zoom lenses by evolutionary programming

Sourav Pal and Lakshminarayan Hazra

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Sourav Pal and Lakshminarayan Hazra, "Ab initio synthesis of linearly compensated zoom lenses by evolutionary programming," Appl. Opt. 50, 1434-1441 (2011)

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Abstract

An approach for ab initio synthesis of the thin lens structure of linearly compensated zoom lenses is reported. This method uses evolutionary programming that explores the available configuration space formed by powers of the individual components, the intercomponent separations, and the relative movement parameters of the moving components. Useful thin lens structures of optically and linearly compensated zoom lens systems are obtained by suitable formulation of the merit function of optimization. This paper reports our investigations on three-component zoom lens structures. Illustrative numerical results are presented.

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l	∞	25	20	15	10
$k_{1}$	0.7605	$- 0.9936$	0.9233	0.9389	1.3298
$k_{2}$	$- 1.9062$	1.9414	$- 2.0000$	$- 1.6541$	$- 1.9297$
$k_{3}$	1.2297	1.7714	1.7479	1.9824	1.9785
$d_{1}$	0.0049	0.1737	0.3895	0.5145	0.3032
$d_{2}$	0.6524	1.0385	0.3812	0.6529	1.0185
Z	$- 0.244$	0.165	$- 0.347$	$- 0.177$	$- 0.082$
$r_{1}$	1.450	1.690	$- 0.890$	$- 0.710$	$- 1.130$
$L_{sys}$	0.901	1.491	1.427	1.470	1.496
$Δ_{\max}$	0.0054	0.0052	0.0034	0.0028	0.0016

l	∞	25	20	15	10
$k_{1}$	0.6305	$- 1.0762$	0.8944	1.3812	2.4487
$k_{2}$	$- 2.8827$	1.9912	$- 2.7889$	$- 2.8123$	$- 2.9120$
$k_{3}$	2.0205	2.9589	2.9824	2.9296	3.0000
$d_{1}$	0.6749	0.1887	0.7488	0.4087	0.1230
$d_{2}$	0.4174	0.9937	0.5239	0.9421	1.2160
Z	$- 0.2460$	0.177	$- 0.145$	$- 0.057$	$- 0.023$
$r_{1}$	1.471	1.706	$- 0.511$	$- 0.734$	$- 1.755$
$L_{sys}$	1.338	1.500	1.492	1.450	1.402
$Δ_{\max}$	0.0131	0.0097	0.0018	0.0007	0.0005

l	∞	25	20	15	10
$k_{1}$	1.0918	1.1456	1.1895	0.9599	1.2531
$k_{2}$	$- 4.9902$	$- 4.3258$	$- 4.8095$	$- 4.6532$	$- 4.5652$
$k_{3}$	$- 5.0000$	4.9951	4.9902	4.8388	4.9658
$d_{1}$	0.7844	0.6583	0.6430	0.8267	0.5937
$d_{2}$	0.7154	0.7556	0.7924	0.5579	0.8503
Z	0.024	$- 0.039$	$- 0.034$	$- 0.063$	$- 0.032$
$r_{1}$	$- 2.990$	$- 0.900$	$- 0.660$	$- 0.310$	$- 0.230$
$L_{sys}$	1.500	1.487	1.492	1.467	1.484
$Δ_{\max}$	0.1088	0.0051	0.0025	0.0009	0.0001

l	∞	25	20	15	10
$k_{1}$	0.5989	0.7801	$- 0.8739$	$- 0.8426$	$- 0.9253$
$k_{2}$	$- 1.7909$	$- 1.9922$	1.9140	1.8827	1.9785
$k_{3}$	1.0972	1.3822	1.9922	1.9922	1.9003
$d_{1}$	0.0577	0.0324	0.2296	0.2279	0.2436
$d_{2}$	0.8636	0.5073	0.9926	0.9943	0.9926
Z	$- 0.350$	$- 0.332$	0.230	0.228	0.228
$L_{sys}$	1.271	0.8716	1.452	1.450	1.464
$Δ_{\max}$	0.0051	0.0066	0.0080	0.0060	0.0045

l	∞	25	20	15	10
$k_{1}$	0.5191	$- 0.8475$	$- 0.8006$	1.1173	$- 0.9413$
$k_{2}$	$- 2.5308$	1.8328	1.7683	3.0000	1.9853
$k_{3}$	2.0968	2.9648	2.9941	1.4164	2.9941
$d_{1}$	0.7490	0.2657	0.2662	0.7627	0.2613
$d_{2}$	0.3463	0.9724	0.9878	0.3484	0.9292
Z	$- 0.345$	0.266	0.263	$- 0.279$	0.248
$L_{sys}$	1.440	1.500	1.520	1.390	1.430
$Δ_{\max}$	0.0123	0.0593	0.0420	0.026	0.0168

l	∞	25	20	15	10
$k_{1}$	1.1944	$- 0.7059$	$- 0.7548$	0.9648	1.1358
$k_{2}$	$- 4.9951$	1.5950	1.6830	5.0000	4.9951
$k_{3}$	$- 5.0000$	4.9951	4.9511	1.2042	2.4597
$d_{1}$	0.6998	0.2491	0.2402	0.9304	0.8017
$d_{2}$	0.7727	1.0344	0.9961	0.3373	0.2062
Z	0.024	0.241	0.239	$- 0.225$	$- 0.186$
$L_{sys}$	1.496	1.524	1.476	1.493	1.194
$Δ_{\max}$	0.1821	0.054	0.0361	0.0191	0.0095

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Tables (6)

Equations (18)

Applied Optics