A Monte Carlo method for solving the electromagnetic scattering problem in dielectric bodies

TL;DR

This paper introduces a Monte Carlo approach for electromagnetic scattering in dielectric bodies, leveraging a conformal transformation and the Method of Moments, enabling efficient parallel computation without inter-processor communication.

Contribution

It presents a novel Monte Carlo method for electromagnetic scattering that is highly parallelizable and does not rely on inter-processor communication, unlike existing techniques.

Findings

Efficient parallel computation for large-scale scattering problems

No communication overhead between processors during simulation

Applicable to complex dielectric bodies

Abstract

In this work, we develop a novel Monte Carlo method for solving the electromagnetic scattering problem. The method is based on a formal solution of the scattering problem as a modified Born series whose coefficients are found by a conformal transformation. The terms of the Born series are approximated by sampling random elements of its matrix representation, computed by the Method of Moments. Unlike other techniques as the Fast Multiple Method, this Monte Carlo method does not require communications between processors, which makes it suitable for large parallel executions.