Abstract

Investigated is an inverse electromagnetic scattering technique that uses the polarization characteristics of the scattered wave to form an image of the convex portions of the scattering body. The depolarization of an electromagnetic signal by a scattering surface is related to thee local principal curvatures through the measurable leading edge of the impulse response. A classic problem in differential geometry (Christoffel–Hurwitz) deals with the reconstruction of such a surface from a knowledge of this kind of information, and a differential equation relating these local measurements to the surface has long been established. A Fortran code employing a “finite-element” solution to this equation has been constructed and tested on synthetic data.

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