A SMFSIA method for the electromagnetic scattering from a two-dimensional (3-D scattering problem) perfectly conducting random rough surface

With the development of the sparse-matrix flat-surface iterative approach (SMFSIA), the Monte Carlo simulations of scattering from two-dimensional (3-D scattering problem) random rough surface problems have become much more efficient. In SMFSIA, the iterative procedure involves multiplication of a very large square matrix with a column vector. The present authors show that this CPU time-consuming procedure can be replaced by the fast Fourier transform (FFT). A numerical example is given by investigating electromagnetic wave scattering using SMFSIA with the fast Fourier transform. This new method provides a faster solution time without sacrificing numerical accuracy.<>