Wave-Scattering processes: path-integrals designed for the numerical handling of complex geometries
Biological Physics
2022-10-31 v1 Computational Physics
Data Analysis, Statistics and Probability
Optics
Abstract
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 usual interpretative difficulties such as the analysis of moments over scatterer distributions (size, orientation, shape...) are addressed. In terms of computational contribution, we show that commonly recognized features of Monte Carlo method with respect to geometric complexity can now be available when solving electromagnetic scattering.
Cite
@article{arxiv.2210.16146,
title = {Wave-Scattering processes: path-integrals designed for the numerical handling of complex geometries},
author = {Jérémi Dauchet and Julien Charon and Laurent Brunel and Christophe Coustet and Stéphane Blanco and Jean-François Cornet and Mouna El- Hafi and Vincent Eymet and Vincent Forest and Richard Fournier and Fabrice Gros and Benjamin Piaud and Thomas Vourc'h},
journal= {arXiv preprint arXiv:2210.16146},
year = {2022}
}