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

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 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.