Automatic lens-splitting optimization algorithm for spherical aberration correction

Jiaying He; Feihong Yu; Feihong Yu

doi:10.1364/AO.439534

Applied Optics
Vol. 60,
Issue 34,
pp. 10727-10735
(2021)
•https://doi.org/10.1364/AO.439534

Automatic lens-splitting optimization algorithm for spherical aberration correction

Jiaying He and Feihong Yu

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Jiaying He and Feihong Yu, "Automatic lens-splitting optimization algorithm for spherical aberration correction," Appl. Opt. 60, 10727-10735 (2021)

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Abstract

This paper proposes the automatic lens-splitting optimization algorithm to correct spherical aberration by the interaction between ZEMAX and MATLAB. This method tackled the problem that classic optimization cannot add the elements automatically. A high numerical aperture collimator is considered for the test sample, and the selection of four thickness constraints (minimum center and edge of glass and air thickness constraints) is discussed. To determine the feasibility and applicability of this method, more design systems (a retro-focus objective system and a telesystem) are tested. The simulated results under the feasible thickness constraints show that the automatic lens-splitting optimization algorithm generates reasonable and realizable solutions.

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Data Availability

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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Constraints	Targets
Numerical aperture	NA
Diameter of the entrance pupil	$D_{in} = 20 m m$
Wavelength	550 nm
Field	0°
Total length	$L_{t o t a l} \leq 200 m m$
Center glass thickness	$T_{c g} \geq T_{c g m i n}$
Edge glass thickness	$T_{e g} \geq T_{e g m i n}$
Center air thickness	$T_{c a} \geq T_{c a m i n}$
Center air thickness	$T_{e a} \geq T_{e a m i n}$
RMS spot radius	Diffraction limit

Test Systems	High-NA Collimator	Retro-Focus System	Telesystem
Layout
Selected thickness constraint	$T_{cgmin} = 1 m m$ $T_{egmin} = 0.5 m m$	$T_{cgmin} = 2 m m$ $T_{egmin} = 2$ $m m$	$T_{cgmin} \leq 1 m m$ $T_{egmin} \leq 0.5 m m$
Minimum diameter of the system	$D_{min} \approx 10 m m$	$D_{min} = D_{in} = 20 m m$	$D_{min} = 4 m m$
Ratio of minimum diameter with thickness constraint	$T_{cgmin} / D_{min} = 0.1$ $T_{egmin} / D_{min} = 0.05$	$T_{cgmin} / D_{min} = 0.1$ $T_{egmin} / D_{min} = 0.1$	$T_{cgmin} / D_{min} \leq 0.25$ $T_{egmin} / D_{min} \leq 0.125$
Feasible values of thickness constraints	$T_{cgmin} = 1 / 10 \cdot D_{min}$ $T_{egmin} = 1 / 20 \sim 1 / 10 \cdot D_{min}$

Constraints	Targets
Numerical aperture	NA
Diameter of the entrance pupil	$D_{in} = 20 m m$
Wavelength	550 nm
Field	0°
Total length	$L_{t o t a l} \leq 200 m m$
Center glass thickness	$T_{c g} \geq T_{c g m i n}$
Edge glass thickness	$T_{e g} \geq T_{e g m i n}$
Center air thickness	$T_{c a} \geq T_{c a m i n}$
Center air thickness	$T_{e a} \geq T_{e a m i n}$
RMS spot radius	Diffraction limit

Test Systems	High-NA Collimator	Retro-Focus System	Telesystem
Layout
Selected thickness constraint	$T_{cgmin} = 1 m m$ $T_{egmin} = 0.5 m m$	$T_{cgmin} = 2 m m$ $T_{egmin} = 2$ $m m$	$T_{cgmin} \leq 1 m m$ $T_{egmin} \leq 0.5 m m$
Minimum diameter of the system	$D_{min} \approx 10 m m$	$D_{min} = D_{in} = 20 m m$	$D_{min} = 4 m m$
Ratio of minimum diameter with thickness constraint	$T_{cgmin} / D_{min} = 0.1$ $T_{egmin} / D_{min} = 0.05$	$T_{cgmin} / D_{min} = 0.1$ $T_{egmin} / D_{min} = 0.1$	$T_{cgmin} / D_{min} \leq 0.25$ $T_{egmin} / D_{min} \leq 0.125$
Feasible values of thickness constraints	$T_{cgmin} = 1 / 10 \cdot D_{min}$ $T_{egmin} = 1 / 20 \sim 1 / 10 \cdot D_{min}$

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Applied Optics