Inverse scattering solutions by a sinc basis, multiple source, moment method--Part II: Numerical evaluations.
In part I, we presented a method for solving the inverse scattering problem using multiple sources and detectors. Allowance for multiple angles of incident radiation improves the ill-posed nature of the inverse problem by improving the quality and quantity of information gathered at detector points. This paper describes implementation and numerical evaluation of the method. An 11 by 11 image reconstructed from noisy scattered field data is shown to closely match the original scattering object, and the improvement possible by constraining the reconstruction to be spatially band limited is demonstrated. Furthermore, for a somewhat simpler "pseudo-inverse problem," we give findings on the effects that detector radius, degree of over determination, noise, and object contrast have on reconstruction quality.
D008433:Mathematics; D014054:Tomography; D014465:Ultrasonics