A Time Domain Volume Integral Equation Solver to Analyze Electromagnetic Scattering from Nonlinear Dielectric Objects

A time domain electric field volume integral equation (TD-EFVIE) solver is proposed for analyzing electromagnetic scattering from dielectric objects with Kerr nonlinearity. The nonlinear constitutive relation that relates flux and induced in the scatterer used as an auxiliary complements TD-EFVIE. ordinary differential system arises TD-EFVIE’s Schaubert-Wilton-Glisson (SWG)-based discretization integrated using a predictor-corrector method unknown expansion coefficients of field. Matrix systems arise SWG-based its inverse obtained Padé approximant are to carry out explicit updates at predictor corrector stages integration method. resulting marching-on-in-time (MOT) scheme does not call any Newton-like only requires solution sparse well-conditioned Gram matrix every step. Numerical results show MOT-based TD-EFVIE more accurate than finite-difference time-domain traditionally transient objects.