Electromagnetic scattering from a homogeneous material body using time domain integral equations and bandlimited extrapolation

In recent years, the time domain integral equation based solvers for Maxwell´s equations have been gaining popularity. Although for certain types of problems they possess a number of advantages over other computational methods, their widespread usage has been hampered because of the instability and inefficiency encountered in early implementations. One new scheme that seems to overcome these instability problems is time marching using bandlimited extrapolation, which uses bandlimited basis functions for temporal representation, and bandlimited extrapolation to create a causal scheme from these noncausal basis functions. This paper presents an extension of this scheme to compute the scattering from homogeneous dielectric bodies. The results obtained from the new method show an excellent correspondence with those obtained from the standard, frequency domain method of moments.