A System‐Synthesis Approach to the Inverse Problem of Scattering by Smooth, Convex‐Shaped Scatterers for the High‐Frequency Case

Publisher Website
Google Scholar
Abstract
The solution of the inverse problem of electromagnetic scattering by smooth, convex‐shaped and perfectly conducting scatterers is viewed and analysed following a system‐synthesis approach. The formulation of the associated iterative averaging method is based on the fact that a knowledge of the variation of the scattered field's magnitude about the monostatic angle necessarily reflects some information on the curvature of the obstacle within the illuminated region. For the two‐dimensional case this cognizance permits one to assume that for any smooth, slowly and uniformly varying, convex‐shaped scatterer, an equivalent circular cylinder of identical curvature about the monostatic direction gives rise to an identical backscattered field magnitude. The method leads to the recovery of the equivalent electrical radii of curvature about the specular point which are in fair agreement with the exact values of elliptically cylindrical scatterers employed here for computational verification. This approach could be, therefore, useful in the portrayal of unknown scatterers, by curve fitting the various values of the electrical radii of curvature, obtained via the iterative averaging method as applied to data measured about the monostatic angle, for different directions of illumination with respect to the center of the scatterer. Although only the cases of circularly and elliptically cylindrical objects are examined here, it is anticipated that this technique is also applicable, in principle, for the portrayal of three‐dimensional scatterers of convex, smooth shape, provided that high‐frequency measurement data are available.

This publication has 15 references indexed in Scilit: