Inverse scattering scheme based on the moment method in the spectral domain, part ii: Numerical simulation

A spectral inverse scattering scheme, applying the moment-method procedures with a polynomial basis function for the induced field in each enlarged cell, is implemented numerically and simulated for a simple test geometry. The method provides good results comparable to the discretization of object fine enough to adopt the pulse basis function. The effects of several variables on the reconstructed profile are simulated one by one. Simulation results for the scattered field contaminated by Gaussian random noise show large fluctuations in the reconstructed profiles. The validity of the inversion scheme to regularization of the noise effects is conformed by showing that averaging the reconstructed profile over each cell with a suitable weighting function reduces the reconstruction error to a nearly negligible value.