Open AccessEfficient calculation of highly focused electromagnetic Schell-model beams
Author(s) -
Marcos Aviñoá,
R. Martı́nez-Herrero,
Artur Carnicer
Publication year - 2021
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.432677
Subject(s) - coherence (philosophical gambling strategy) , optics , computation , fourier transform , computer science , computational complexity theory , fast fourier transform , beam (structure) , algorithm , physics , coherence theory , coherence time , coherence length , laser , superconductivity , quantum mechanics
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.