Title :
An approximate solution of 1D inverse problem
Author :
Vinogradov, V.A. ; Kopeikin, V.V. ; Popov, A.V.
Author_Institution :
Institute of Terrestrial Magnetism, lonosphere and Radio Wave Propagation, IZMIRAN, Troitsk, Moscow region, 142 190, Russia
Abstract :
A model problem of 1D permittivity profile reconstruction from GPR data is considered. An approximate integral representation of the reflected pulse is given, based on the coupled WKB equations transformed into time domain. With the input pulse waveform given, this integral equation yields an explicit formula for the ground permittivity distribution. Numerical simulation demonstrates high accuracy of the proposed approximate solution in a wide range of the soil parameters.
Keywords :
Frequency domain analysis; Fresnel reflection; Ground penetrating radar; Integral equations; Inverse problems; Magnetic domains; Numerical simulation; Partial differential equations; Permittivity; Radar scattering; coupled WKB; inverse problem; time domain;
Conference_Titel :
Ground Penetrating Radar, 2004. GPR 2004. Proceedings of the Tenth International Conference on
Conference_Location :
Delft, The Netherlands
Print_ISBN :
90-9017959-3
