Electromagnetic scattering in Schwarzschild space-time: Finite difference time domain with Green function method

TL;DR

This paper develops and validates FDTD and Green function numerical methods for simulating electromagnetic scattering in Schwarzschild space-time, enabling analysis of wave interactions in curved spacetime environments.

Contribution

The paper introduces the first implementation of FDTD and Green function algorithms specifically adapted for electromagnetic scattering in Schwarzschild space-time.

Findings

Both FDTD and Green function methods are validated through simulations.

Simulations demonstrate electromagnetic scattering behavior in curved space-time.

The methods enable future studies of wave phenomena near massive objects.

Abstract

The finite difference time domain (FDTD) algorithm and Green function algorithm are implemented into the numerical simulation of electromagnetic scattering by ordinary objects in Schwarzschild space-time. FDTD method in curved space-time is developed by filling the flat space-time with an equivalent medium. Green function in curved space-time is obtained by solving transport equations. Simulation results validate both the FDTD code and Green function code. Scattering in Schwarzschild space-time is simulated by these methods.