Abstract

In this paper, a new, to the best of our knowledge, differential equation for designing a pair of aplanatic mirrors is introduced. The differential equation is a direct consequence of the Fermat principle and Abbe sine condition. If it is solved, the solution expresses the shape of a pair of mirrors such that they form an aplanatic system. The differential equation has been solved numerically. We have also tested the performance of the pair of mirrors, which is as predicted by the theory.

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Exact equations to design aplanatic sequential optical systems

Rafael G. González-Acuña
Appl. Opt. 60(30) 9263-9268 (2021)

Aplanatic freeform-mirror-based optical systems

Rafael G. González-Acuña
Appl. Opt. 62(19) 5260-5266 (2023)

Set of all possible stigmatic pairs of mirrors

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

Equations to design an aplanatic catadioptric freeform optical system

Rafael G. González-Acuña
Appl. Opt. 62(27) 7226-7232 (2023)

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)