A Leapfrogging-in-Time Integral Equation Solver

An implicit leapfrogging-in-time surface-integral-equation solver for analyzing transient scattering from homogenous dielectric bodies is presented. Electric and magnetic current densities on dielectric interfaces are expanded in terms of space-time basis functions defined on staggered temporal grids. Band-limited extrapolation of these current densities enables a leapfrogging solution procedure that generates samples of electric and magnetic current densities separated by half time steps. Numerical results demonstrate that the proposed solver is more efficient than standard marching-on-in-time solvers that simultaneously generate electric and magnetic current samples separated by integer time steps.