Deterministic direct design method for a spherical-aberration-free singlet lens with reduced coma

Jiandong Lin; Qi An; Naibo Zhang

doi:10.1364/AO.520247

Applied Optics
Vol. 63,
Issue 15,
pp. 4192-4200
(2024)
•https://doi.org/10.1364/AO.520247

Deterministic direct design method for a spherical-aberration-free singlet lens with reduced coma

Jiandong Lin, Qi An, and Naibo Zhang

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Jiandong Lin, Qi An, and Naibo Zhang, "Deterministic direct design method for a spherical-aberration-free singlet lens with reduced coma," Appl. Opt. 63, 4192-4200 (2024)

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Abstract

It is still challenging to find a spherical-aberration-free singlet lens with well corrected coma due to an undesired and complicated residual high-order coma. In this paper, we present a spherical-aberration-free singlet lens with reduced coma containing high-order coma contribution. This design algorithm is to deduce the front aspherical surface parameters from the back spherical surface using meridional ray tracing to find the proper values of the back focal length and the back spherical radius to reduce the coma. The exemplary lens demonstrates an excellent well-balanced and diffraction-limited performance at the field angle ranging from 0.0° to 2.5° with a working F# equal to 1.65.

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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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Front Surface	Radius (mm)	Thickness (mm)	Semi-Diameter (mm)	Conic	Aspherical coefficient $a_{4}$	Aspherical coefficient $a_{6}$
Aplanatic lens	7.377	1.989	3.295	−1.000	$1.428 E - 4$	$4.061 E - 7$
Our design lens	7.417	3.391	3.295	−1.000	$1.438 E - 4$	$4.302 E - 7$

	SPHA $S_{I}$	COMA $S_{I I}$	ASTI $S_{I I I}$	FCUR $S_{I V}$	DIST $S_{V}$
Aplanatic lens	$- 8.100 E - 05$	$- 1.013 E - 08$	$2.910 E - 04$	$1.760 E - 04$	$8.873 E - 07$
Our design lens	$- 1.400 E - 04$	$1.560 E - 04$	$2.780 E - 04$	$1.750 E - 04$	$1.561 E - 06$

	Radius (mm)	Thickness (mm)	Semi-Diameter (mm)	Aspherical Coefficient
Front surface	29.834	9.287	3.295	$a_{4} = - 4.316 E - 4$ $a_{6} = - 6.642 E - 6$ $a_{8} = - 4.800 E - 6$ $a_{10} = - 4.440 E - 9$
Back surface	−9.269	9.439	3.405

Front Surface	Radius (mm)	Thickness (mm)	Semi-Diameter (mm)	Conic	Aspherical coefficient $a_{4}$	Aspherical coefficient $a_{6}$
Aplanatic lens	7.377	1.989	3.295	−1.000	$1.428 E - 4$	$4.061 E - 7$
Our design lens	7.417	3.391	3.295	−1.000	$1.438 E - 4$	$4.302 E - 7$

	SPHA $S_{I}$	COMA $S_{I I}$	ASTI $S_{I I I}$	FCUR $S_{I V}$	DIST $S_{V}$
Aplanatic lens	$- 8.100 E - 05$	$- 1.013 E - 08$	$2.910 E - 04$	$1.760 E - 04$	$8.873 E - 07$
Our design lens	$- 1.400 E - 04$	$1.560 E - 04$	$2.780 E - 04$	$1.750 E - 04$	$1.561 E - 06$

Abstract

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Figures (8)

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Applied Optics