Wave-scattering processes: path-integrals designed for the numerical handling of complex geometries

Relying on Feynman–Kac path-integral methodology, we present a new statistical perspective on wave single-scattering by complex three-dimensional objects. The approach is implemented on three models—Schiff approximation, Born approximation, and rigorous Born series—and familiar interpretative diffic...

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Bibliographic Details
Published in:Optics letters 2023-09, Vol.48 (18), p.4909-4912
Main Authors: Dauchet, Jérémi, Charon, Julien, Blanco, Stéphane, Brunel, Laurent, Cornet, Jean-François, Coustet, Christophe, El Hafi, Mouna, Eymet, Vincent, est, Vincent, Fournier, Richard, Gros, Fabrice, Piaud, Benjamin, Terrée, Guillaume, Vourc'h, Thomas
Format: Article
Language:English
Subjects:
Applications
Born approximation
Complexity
Computational Physics
Electromagnetic scattering
Feature recognition
Mathematical analysis
Monte Carlo simulation
Optics
Physics
Statistics
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Summary:Relying on Feynman–Kac path-integral methodology, we present a new statistical perspective on wave single-scattering by complex three-dimensional objects. The approach is implemented on three models—Schiff approximation, Born approximation, and rigorous Born series—and familiar interpretative difficulties such as the analysis of moments over scatterer distributions (size, orientation, shape, etc.) are addressed. In terms of the computational contribution, we show that commonly recognized features of the Monte Carlo method with respect to geometric complexity can now be available when solving electromagnetic scattering.
ISSN:0146-9592
1539-4794
1539-4794
DOI:10.1364/OL.500487