Efficient calculation of highly focused electromagnetic Schell-model beams



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Aviñoá, Marcos and Martínez Herrero, Rosario and Carnicer, Artur (2021) Efficient calculation of highly focused electromagnetic Schell-model beams. Optics express, 29 (16). pp. 26220-26232. ISSN 1094-4087

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Official URL: http://dx.doi.org/10.1364/OE.432677


The calculation of the propagation of partially coherent and partially polarized optical beams involves using 4D Fourier Transforms. This poses a major drawback, taking into account memory and computational capabilities of nowadays computers. In this paper we propose an efficient calculation procedure for retrieving the irradiance of electromagnetic Schell-model highly focused beams. We take advantage of the separability of such beams to compute the cross-spectral density matrix by using only 2D Fourier Transforms. In particular, the number of operations depends only on the number of pixels of the input beam, independently on the coherence properties. To provide more insight, we analyze the behavior of a beam without a known analytical solution. Finally, the numerical complexity and computation time is analyzed and compared with some other algorithms.

Item Type:Article
Additional Information:

© 2021 Optical Society of America under the terms of the OSA Open Access Publishing Agreement.
Agencia Estatal de Investigación (PID2019-104268GB-C21, PID2019-104268GB-C22).

Uncontrolled Keywords:Partially coherent; Radial polarization; Vector-fields; Microscopy; Light; Implementation; Simulation; Design
Subjects:Sciences > Physics > Optics
ID Code:67858
Deposited On:11 Oct 2021 15:23
Last Modified:13 Oct 2021 07:25

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