Calculation parameters of an objective consisting of three simple lenses

Antonín Mikš; Michal Šmejkal

doi:10.1364/JOSAA.414164

Journal of the Optical Society of America A
Vol. 38,
Issue 3,
pp. 350-355
(2021)
•https://doi.org/10.1364/JOSAA.414164

Calculation parameters of an objective consisting of three simple lenses

Antonín Mikš and Michal Šmejkal

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Antonín Mikš and Michal Šmejkal, "Calculation parameters of an objective consisting of three simple lenses," J. Opt. Soc. Am. A 38, 350-355 (2021)

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Abstract

A theoretical analysis of properties of an objective composed of three thin lenses is described in this paper. The formulas for the calculation of parameters of the three-lens objective are derived and the procedure for calculation of the shape of individual lenses of the objective is described using the third-order aberration theory. The application of the described analysis is presented in an example of the design of the three-lens objective.

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Equations (27)

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$φ_{1}$	$φ_{2}$	$φ_{3}$	$d_{1}$	$d_{2}$
2.6469	$- 4.3428$	1.9559	0.0926	0.1254
$ν_{1}$	$ν_{2}$	$ν_{3}$	$h_{2}$	$h_{3}$
58.3000	33.7184	48.6172	0.7548	0.8339

First Solution
SI	SII	SIII	SIV	SV
0.0000	0.0000	0.0000	0.2517	$- 0.5007$
CI	CII	X1	X2	X3
0.000	0.000	0.6498	0.0120	$- 1.4370$
$r_{1}$	$r_{2}$	$r_{3}$	$r_{4}$	$r_{5}$	$r_{6}$	$d_{1}$
0.2806	$- 1.3220$	$- 0.3035$	0.3108	$- 1.4240$	$- 0.2554$	0.0926
$d_{2}$	$n_{1}$	$n_{2}$	$n_{3}$	$ν_{1}$	$ν_{2}$	$ν_{3}$
0.1254	1.6127	1.6668	1.6086	58.3000	33.7184	48.6172
Second Solution
SI	SII	SIII	SIV	SV
0.0000	0.0000	0.0000	0.2517	0.1998
CI	CII	X1	X2	X3
0.000	0.000	1.2490	$- 0.5482$	$- 0.0959$
$r_{1}$	$r_{2}$	$r_{3}$	$r_{4}$	$r_{5}$	$r_{6}$	$d_{1}$
0.2059	1.8593	$- 0.6797$	0.1983	0.6882	$- 0.5679$	0.0926
$d_{2}$	$n_{1}$	$n_{2}$	$n_{3}$	$ν_{1}$	$ν_{2}$	$ν_{3}$
0.1254	1.6127	1.6668	1.6086	58.3000	33.7184	48.6172

$φ_{1}$	$φ_{2}$	$φ_{3}$	$d_{1}$	$d_{2}$
2.6469	$- 4.3428$	1.9559	0.0926	0.1254
$ν_{1}$	$ν_{2}$	$ν_{3}$	$h_{2}$	$h_{3}$
58.3000	33.7184	48.6172	0.7548	0.8339

First Solution
SI	SII	SIII	SIV	SV
0.0000	0.0000	0.0000	0.2517	$- 0.5007$
CI	CII	X1	X2	X3
0.000	0.000	0.6498	0.0120	$- 1.4370$
$r_{1}$	$r_{2}$	$r_{3}$	$r_{4}$	$r_{5}$	$r_{6}$	$d_{1}$
0.2806	$- 1.3220$	$- 0.3035$	0.3108	$- 1.4240$	$- 0.2554$	0.0926
$d_{2}$	$n_{1}$	$n_{2}$	$n_{3}$	$ν_{1}$	$ν_{2}$	$ν_{3}$
0.1254	1.6127	1.6668	1.6086	58.3000	33.7184	48.6172
Second Solution
SI	SII	SIII	SIV	SV
0.0000	0.0000	0.0000	0.2517	0.1998
CI	CII	X1	X2	X3
0.000	0.000	1.2490	$- 0.5482$	$- 0.0959$
$r_{1}$	$r_{2}$	$r_{3}$	$r_{4}$	$r_{5}$	$r_{6}$	$d_{1}$
0.2059	1.8593	$- 0.6797$	0.1983	0.6882	$- 0.5679$	0.0926
$d_{2}$	$n_{1}$	$n_{2}$	$n_{3}$	$ν_{1}$	$ν_{2}$	$ν_{3}$
0.1254	1.6127	1.6668	1.6086	58.3000	33.7184	48.6172

Abstract

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Tables (2)

Equations (27)

Journal of the Optical Society of America A