Numerical Approach for Analysis of Transient Scattering by an Accelerated Body

Abstract

A numerical approach for analysis of transient scattering by an accelerated body based on the frame hopping method (FHM) is developed. First, transform formulae for coordinates and fields between an inertial laboratory frame and a non-inertial co-moving frame are derived. The solution of retarded potential equations in the accelerated frame is given. Then, the scattering analysis is performed in the co-moving accelerated frame using the time domain integral equation (TDIE) method. Last, the scattering fields found in the co-moving frame are ransformed back to the laboratory frame. A moving conducting sphere is used to validate the procedure. The proposed approach is unified in terms of suiting stationary, uniform and accelerated objects.