A layer stripping method for numerical solution of the GPR problem in a layered medium

TL;DR

This paper introduces a numerical layer stripping method combined with complex frequency continuation for ground penetrating radar data in layered media, emphasizing accuracy, efficiency, and specific applicability conditions.

Contribution

It presents a novel numerical approach that integrates layer stripping with complex frequency continuation for improved GPR data processing in layered media.

Findings

Method demonstrates high numerical efficiency under certain conditions.

Error estimates are provided and validated through numerical testing.

Effective for media with slowly varying electrical properties and moderate conductivity.

Abstract

A numerical method for processing the data of ground penetrating radars for a piece-wise continuous layered medium is proposed. The method combines the layer stripping technique with numerical continuation of data into the complex frequency's domain. The accuracy of the method is analyzed. Error estimates are obtained and numerical testing is performed. They demonstrate numerical efficiency of the method under certain assumptions such as: electrical characteristics inside each layer change slowly, the thicknesses of the layers are at least of the order of the wavelength, conductivity of the medium is not high.