Numerical Simulation of Wave Propagation and Scattering in an Inhomogeneous Medium

In this paper, a rigorous numerical technique of atmospheric wave propagation and scattering from an inhomogeneous medium is considered and simulated using Integral Equation in conjunction with Method of Moments. The inhomogeneous medium is the result of flow over an aircraft, which calls for the numerical solution of multiphysics and multiscale problem governed by Euler equations describing the acoustics/fluid-dynamics and Maxwell's equations for electromagnetic wave propagation. An important relation between flow inhomogeneities and the direction of incident electromagnetic field is presented by solving numerically the Volume-Surface Integral Equation and spatiotemporal scattering is discussed. The method presented here can also be easily adapted to many important problems in electromagnetics and scattering from large complex shaped inhomogeneous bodies such as biological systems.