28 May 2022 Nonparaxial diffraction of the Cartesian oval
Rafael G. González-Acuña, Jeck Borne, Simon Thibault
Author Affiliations +
Abstract

We study the nonparaxial diffraction of the well-known Cartesian oval in finite and infinite conjugate configurations. We started by expressing the refraction of the Cartesian oval by analytical closed-form equations. These equations are convenient to obtain the pupil apodization function of the Cartesian oval, which is needed to compute the diffraction pattern using Richard–Wolf theory. A comparison of the diffraction patterns of the Cartesian oval with finite/infinite objects, the aplanatic lens, and the parabolic mirror for radially polarized illumination is presented. From this comparison, we conclude that a Cartesian oval for a far object is not a good candidate for tight focusing and super-resolution applications and the performance of a Cartesian oval in a finite conjugate configuration is similar to the performance of an aplanatic lens and in some scenarios, it can perform better than the aplanatic lens.

© 2022 Society of Photo-Optical Instrumentation Engineers (SPIE) 0091-3286/2022/$28.00 © 2022 SPIE
Rafael G. González-Acuña, Jeck Borne, and Simon Thibault "Nonparaxial diffraction of the Cartesian oval," Optical Engineering 61(5), 055102 (28 May 2022). https://doi.org/10.1117/1.OE.61.5.055102
Received: 1 October 2021; Accepted: 9 February 2022; Published: 28 May 2022
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KEYWORDS
Apodization

Diffraction

Mirrors

Wavefronts

Refraction

Refractive index

Optical engineering

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