Estimation of the volume and the size of a scatterer from band-limited time domain signature

An inverse scattering model, based on the time domain concepts of electromagnetic theory, is developed using the first five (zeroth to fourth) moment condition integrals to recover the Rayleigh coefficient and the next higher order nonzero coefficient of the power series expansion in
k
(wavenumber) of the target backscattering response. The Rayleigh coefficient and the other coefficient thus recovered are used to determine the dimensions and orientation of the object (with the ellipsoidal assumption for the object shape). The input data required for this coefficient recovery technique (CRT) are the object backscatter response to a band-limited pulse over a finite number of interrogating direction.