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

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.

Figures (3)

• Figure 1: Relative permittivity simulated and reconstructed when the conductivity $\sigma$ is about $10^{-4}$ S/m.
• Figure 2: Relative permittivity simulated and reconstructed when the conductivity $\sigma$ is about $10^{-8}$ S/m.
• Figure 3: Relative permittivity simulated (red solid line) and reconstructed (blue dashed line).

Theorems & Definitions (3)

• Lemma 3.1
• Lemma 3.2
• Theorem 3.3