The Inverse Scattering and Target Identification Problem

Abstract
In order to obtain an exact solution to the inverse scattering problem, the target response is required over a continuous band of frequencies and aspect angles. An alternative approach to the problem which requires a much more modest amount of measurement data but assumes substantial a priori information is as follows: A finite set of alternatives is specified regarding target shape and composition and a set of measurements is carried out to provide the answer as to which one of the alternatives holds. Since it is necessary to restrict the measurements to a relatively small range of frequencies the question arises as to what frequency band is best to characterize the target and to provide the most reliable discrimination from other targets. The best apparent choice is the highest frequency possible since for a given percent bandwidth it would contribute the greatest amount of information. However, an examination of the Fourier transform of the impulse response indicated that the frequency range corresponding to wavelengths starting with the size of the object and increasing to ten times its dimension would provide the most useful initial information. It is low frequency range which is used in this paper to characterize the various objects of interest, and provides the information used to identify the objects.

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