Study of Extended Least-Square Iterative Techniques in Electromagnetic Scattering by Penetrable Objects

摘要

The iterative computation of time-harmonic electromagnetic fields scattered by arbitrarily shaped, inhomogeneous, transparent objects is investigated. The domain-type integral equation is solved by minimizing iteratively a global root-mean-square error. Starting with an arbitrarily chosen initial estimate and employing different variational functions, a general, flexible, iterative procedure is developed in which a monotonic decrease in the error is enforced in each iteration step. Different iterative schemes are obtained by employing different, suitable variational functions. Several typical schemes are compared numerically and numerical results are presented for one- and two-dimensional scattering problems. In the latter both TE- and TM-problems are investigated.