Space-time integral equation approach to dielectric targets

A time-domain integral equation technique is presented for computing the response of arbitrarily shaped three-dimensional nondispersive homogeneous dielectric solids. The method is an extension of the previously reported space-time integral equation (STIE) approach to scattering from conducting solids. It consists of the simultaneous solution of four integral equations by a procedure of marching in time. The incident pulse-width is of the order of a target dimension. The result is a "smoothed impulse response," or, after deconvolution, a frequency response valid from dc through the resonance region. While applicable to arbitrary shapes, the numerical solution was implemented for smooth solids with plane symmetry. Results for a sphere and a sphere-capped cylinder are given and verified, respectively, by comparison with the Mie series solution and with measurements.