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