Simulation of Electromagnetic Scattering with Stationary or Accelerating Targets

TL;DR

This paper models electromagnetic wave scattering by obstacles using coupled Maxwell and fluid mechanics equations, exploring wave interactions with stationary or accelerating targets through numerical simulations.

Contribution

It introduces a combined PDE framework for EM scattering with fluid dynamics and demonstrates numerical simulations of wave-target interactions, including acceleration effects.

Findings

Explicit solitary EM wave solutions with compact support

Numerical simulations of wave interactions with moving targets

Analysis of photon-particle iteration dynamics

Abstract

The scattering of electromagnetic waves by an obstacle is analyzed through a set of partial differential equations combining the Maxwell's model with the mechanics of fluids. Solitary type EM waves, having compact support, may easily be modeled in this context since they turn out to be explicit solutions. From the numerical viewpoint, the interaction of these waves with a material body is examined. Computations are carried out via a parallel high-order finite-differences code. Due to the presence of a gradient of pressure in the model equations, waves hitting the obstacle may impart acceleration to it. Some explicative 2D dynamical configurations are then studied, enabling the study of photon-particle iterations through classical arguments.