A time-dependent method for the numerical solution of wave equations in electromagnetic scattering problems
A time-dependent method is presented for the numerical solution of the wave equation and its associated Helmholtz equation in electromagnetic scattering problems. This method provides an efficient iterative scheme for the solution of the matrix equation resulting from the application of finite-difference approximation to the time-harmonic steady-state Helmholtz equation. The method has been applied to problems of electromagnetic wave scatterings by infinitely long, metallic circular cylinders and by metallic spheres. Time history of solutions and their convergence to frequency-domain solutions are presented for the scatterings by circular cylinders.