Cosine Fourier series expansion method for 2-D inverse scattering problems

A computational efficient algorithm for solving 2-D inverse scattering problems in time domain is proposed. The finite difference time domain (FDTD) and particle swarm optimization (PSO) methods are hired in conjunction with cosine Fourier series expansion in suggested procedure and the performance is studied for various 2-D permittivity reconstruction cases. It is, shown that the amount of computations is reduced considerably while the precision of the solutions would not be affected significantly. Another important advantage of this method is that there is no necessity to utilize the regularization term which is essential to obtain stabilization in application of typical direct optimization routine.