Method for algebraic calculation of initial design parameters of a two-element telecentric f-theta lens

Jiří Novák; Antonín Mikš

doi:10.1364/AO.495349

Applied Optics
Vol. 62,
Issue 23,
pp. 6113-6119
(2023)
•https://doi.org/10.1364/AO.495349

Method for algebraic calculation of initial design parameters of a two-element telecentric f-theta lens

Jiří Novák and Antonín Mikš

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Jiří Novák and Antonín Mikš, "Method for algebraic calculation of initial design parameters of a two-element telecentric f-theta lens," Appl. Opt. 62, 6113-6119 (2023)

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Abstract

A method for the algebraic calculation of paraxial design parameters of a telecentric f-theta lens is described. Moreover, a third-order aberration analysis is performed for a telecentric f-theta lens composed of two optical elements. The method can be used to calculate the starting optical design of telecentric f-theta lenses, which can be used, for example, in laser material processing, optical imaging systems, and optical metrology. The initial design parameters then can be used for further optimization in optical design software.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Var	$f_{1}^{'}$	$d$	$s_{F^{'}}^{'}$	$h_{1}$	$h_{2}$	${\bar{h}}_{1}$	${\bar{h}}_{2}$	$u_{2}$	$u_{3}$	${\bar{u}}_{1}$	${\bar{u}}_{2}$
1	−0.6000	0.3600	1.6000	1.0000	1.6000	0.4000	1.0000	−1.6667	1.0000	−1.0000	−1.6667
2	−0.6500	0.4225	1.6500	1.0000	1.6500	0.3500	1.0000	−1.5385	1.0000	−1.0000	−1.5385
3	−0.7000	0.4900	1.7000	1.0000	1.7000	0.30000	1.0000	−1.4286	1.0000	−1.0000	−1.4286
4	−0.7500	0.5625	1.7500	1.0000	1.7500	0.2500	1.0000	−1.3333	1.0000	−1.0000	−1.3333
5	−0.8000	0.6400	1.8000	1.0000	1.8000	0.2000	1.0000	−1.2500	1.0000	−1.0000	−1.2500
6	−0.8500	0.7225	1.8500	1.0000	1.8500	0.1500	1.0000	−1.1765	1.0000	−1.0000	−1.1765
7	−0.9000	0.8100	1.9000	1.0000	1.9000	0.1000	1.0000	−1.1111	1.0000	−1.0000	−1.1111
8	−0.9500	0.9025	1.9500	1.0000	1.9500	0.0500	1.0000	−1.0526	1.0000	−1.0000	−1.0526
9	−1.0000	1.0000	2.0000	1.0000	2.0000	0.0000	1.0000	−1.0000	1.0000	−1.0000	−1.0000

$r_{1}$	$r_{2}$	$r_{3}$	$r_{4}$	${\bar{M}}_{1}$	${\bar{N}}_{1}$	$Φ_{1}$
0.7951	−1.1994	−0.8449	−1.7064	1.5535	1.3984	1.4000
$r_{5}$	$r_{6}$	$r_{7}$	$r_{8}$	${\bar{M}}_{2}$	${\bar{N}}_{2}$	$Φ_{3}$
0.4097	−4.8681	−4.3672	1.5311	8.8811	2.8583	1.5000

Var	$f_{1}^{'}$	$d$	$s_{F^{'}}^{'}$	$h_{1}$	$h_{2}$	${\bar{h}}_{1}$	${\bar{h}}_{2}$	$u_{2}$	$u_{3}$	${\bar{u}}_{1}$	${\bar{u}}_{2}$
1	−0.6000	0.3600	1.6000	1.0000	1.6000	0.4000	1.0000	−1.6667	1.0000	−1.0000	−1.6667
2	−0.6500	0.4225	1.6500	1.0000	1.6500	0.3500	1.0000	−1.5385	1.0000	−1.0000	−1.5385
3	−0.7000	0.4900	1.7000	1.0000	1.7000	0.30000	1.0000	−1.4286	1.0000	−1.0000	−1.4286
4	−0.7500	0.5625	1.7500	1.0000	1.7500	0.2500	1.0000	−1.3333	1.0000	−1.0000	−1.3333
5	−0.8000	0.6400	1.8000	1.0000	1.8000	0.2000	1.0000	−1.2500	1.0000	−1.0000	−1.2500
6	−0.8500	0.7225	1.8500	1.0000	1.8500	0.1500	1.0000	−1.1765	1.0000	−1.0000	−1.1765
7	−0.9000	0.8100	1.9000	1.0000	1.9000	0.1000	1.0000	−1.1111	1.0000	−1.0000	−1.1111
8	−0.9500	0.9025	1.9500	1.0000	1.9500	0.0500	1.0000	−1.0526	1.0000	−1.0000	−1.0526
9	−1.0000	1.0000	2.0000	1.0000	2.0000	0.0000	1.0000	−1.0000	1.0000	−1.0000	−1.0000

$r_{1}$	$r_{2}$	$r_{3}$	$r_{4}$	${\bar{M}}_{1}$	${\bar{N}}_{1}$	$Φ_{1}$
0.7951	−1.1994	−0.8449	−1.7064	1.5535	1.3984	1.4000
$r_{5}$	$r_{6}$	$r_{7}$	$r_{8}$	${\bar{M}}_{2}$	${\bar{N}}_{2}$	$Φ_{3}$
0.4097	−4.8681	−4.3672	1.5311	8.8811	2.8583	1.5000

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Applied Optics