A feynman path integral representation for elastic wave scattering by anisotropic weakly perturbations

TL;DR

This paper introduces a Feynman path integral approach for modeling elastic wave scattering in anisotropic media and proposes a novel Monte Carlo-based tomographic inversion method for improved sonar detection.

Contribution

It presents a new path integral representation for elastic wave scattering and a Monte Carlo inversion technique based on Ray path sampling, advancing sonar imaging capabilities.

Findings

Effective modeling of anisotropic wave scattering

Monte Carlo sampling enhances inversion accuracy

Potential applications in advanced sonar detection

Abstract

We write a space-time Feynman path integral representation for scattered elastic wave fields from a weakly compact supported anisotropic non-homogeneity.Replacement by a new version where We (I!) propose a new tomographic inversion methodology based solely in the wave sampling of the Ray paths through Monte Carlo path integral sampling Holding thus great potentiality for Navy's advanced Sonar detection .