Analytical inversion of the focusing of high-numerical-aperture aplanatic systems

Borne, Jeck; Panneton, Denis; Piché, Michel; Thibault, Simon

doi:10.1364/josaa.36.001642

Cited by 5 publications

(1 citation statement)

References 26 publications

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“…We observe that equation (6) guarantees that k â are always orthogonal despite the possible values of θ(x, y). This aspect is crucial and usually ignored by other diffraction integrals [18,19,[33][34][35][36]. The method presented here differs from the paradigm presented in [18,35,36].…”

Section: Illustrative Examplesmentioning

confidence: 97%

General diffraction integral for converging freeform vectorial fields

González-Acuña,

Thibault

2023

Phys. Scr.

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Herein it is presented a new vector diffraction integral capable to compute the diffraction patterns for aspheric and freeform wavefronts, with different pupil shapes, and different polarization states. The aforementioned vector diffraction integral is based on the energy conservation theorem, the far field approximation, and the angular spectrum representation of optical fields. The integral is validated through illustrative examples whose results are as expected and coincide with the related works.

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Section: Illustrative Examplesmentioning

confidence: 97%

General diffraction integral for converging freeform vectorial fields

González-Acuña,

Thibault

2023

Phys. Scr.

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Two-mirror system for tunable apodization

González-Acuña

2021

Appl. Opt.

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Here we present an optical system composed of two mirrors such that at the input/output, the light is a plane wave but with a user-defined apodization factor. The model presented is an analytic closed form with no numerical approximations or iterations. We test the model with illustrative scenarios, and the results are as expected; the system is stigmatic with the desired apodization factor. Thus, this system has several potential applications in high contrast imaging.

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

2021

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We present a study of the diffraction pattern according to Richards–Wolf for an aplanatic and stigmatic singlet based on an exact analytical equation. We are able to put emphasis on the maximum diameter and illumination pattern, which are the two parameters that influence the diffraction pattern and how to compute it. Designs of low- and high-NA aplanatic and stigmatic lenses are implemented to display these effects.

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Analytical inversion of the focusing of high-numerical-aperture aplanatic systems

Cited by 5 publications

References 26 publications

General diffraction integral for converging freeform vectorial fields

General diffraction integral for converging freeform vectorial fields

Two-mirror system for tunable apodization

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

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