An accurate solution to time domain integral equations for inhomogeneous dielectric bodies using higher-order volume bases

Time domain integral equation (TDIE) based solvers possess a number of advantages over other computational methods for the solution of wideband, nonlinear, and time-varying electromagnetic scattering and radiation phenomenon. Widespread use of TDIE solvers has been hindered by their historical inefficiency and instability. In the recent past, a new time marching method was proposed that used special bandlimited interpolation functions (BLIFs) for the temporal discretization of the TDIEs and a bandlimited extrapolation to create a causal scheme from these noncausal BLIFs, that overcame previous inaccuracy and instability issues. This paper presents an extension of this scheme to compute the scattering from inhomogeneous dielectric bodies using higher-order volume spatial basis functions. The results obtained from the new method show an excellent correspondence with those obtained from the standard, frequency domain method of moments