Abstract

Here we present a method to design a stigmatic lens with a user-defined apodization pupil function. The motive is that the apodization pupil function is required by Richards–Wolf diffraction integrals to compute non-paraxial diffraction patterns. Then, the user-defined apodization pupil function can be chosen such that the focus spot obtained by the stigmatic lens is smaller. The mentioned method is based on numerically solving a non-linear differential equation.

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On the diffraction of a high-NA aplanatic and stigmatic singlet

Rafael G. González-Acuña, Jeck Borne, and Simon Thibault
J. Opt. Soc. Am. A 38(9) 1332-1338 (2021)

General equation of the achromatic stigmatic singlet

Rafael G. González-Acuña
J. Opt. Soc. Am. A 40(7) 1337-1342 (2023)

Achromatic stigmatism: achromatic Cartesian ovoid

Alberto Silva-Lora and Rafael Torres
J. Opt. Soc. Am. A 39(9) 1524-1532 (2022)

Superconical aplanatic ovoid singlet lenses

Alberto Silva-Lora and Rafael Torres
J. Opt. Soc. Am. A 37(7) 1155-1165 (2020)

Set of all possible stigmatic pairs of mirrors

Rafael G. González-Acuña
Appl. Opt. 61(10) 2513-2517 (2022)