ASYMPTOTICS OF IMPEDANCE IN COMPLEX FREQUENCY DOMAIN AND INVERSE PROBLEM OF THE THEORY OF GROUND PENETRATING RADARS

A phenomenon of propagation of electromagnetic waves through layered medium is considered. The asymptotic formula for the impedance in a complex frequency domain is derived and is applied to the inverse problem of the theory of ground penetrating radars. A new method for processing the data of ground penetrating radars is proposed. The method is based on an analytical continuation of the given data to a domain of complex frequencies. To establish the limits of the applicability of the method an error estimate is derived which shows that the method is numerically efficient if thickness of the layers is not less than some resolution threshold (which is of an order of wave length). Numerical efficiency of the method is illustrated by successful numerical testing.