Inverse Scattering Theory and Profile Reconstruction.

摘要

An analytic method for the reconstruction of the profiles of refractive indices of inhomogeneous, stratified regions is presented. The reflection coefficient, r(k), for time-harmonic electromagnetic waves is represented as a rational function of k, the wave number. One-dimensional inverse scattering theory has been applied to obtain analytic, closed-form expressions for the profile functions, q(x), from r(k). The profile reconstruction method is demonstrated with a three-pole r(k), the yields q(x) which resembles an ionospheric electron density profile previously analyzed by direct scattering methods. The present communication generalizes previous results to oblique incidence and compares several q(x) obtained from different rational approximations to r(k). (Author)