Tomographic images of land mines by the elliptic systems method using GPR: efficient solution of the forward problem

Yuriy A. Gryazin; Michael V. Klibanov; Thomas R. Lucas

doi:10.1117/12.357109

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2 August 1999 Tomographic images of land mines by the elliptic systems method using GPR: efficient solution of the forward problem

Yuriy A. Gryazin, Michael V. Klibanov, Thomas R. Lucas

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Proceedings Volume 3710, Detection and Remediation Technologies for Mines and Minelike Targets IV; (1999) https://doi.org/10.1117/12.357109
Event: AeroSense '99, 1999, Orlando, FL, United States

Abstract

The ultimate goal of the authors is apply inverse problem methods to image land mines using a electromagnetic GPR signal. Specifically, the intention is to use the recently developed Elliptic Systems Method, which has been successfully applied by these authors to the problem of laser imaging of biological tissues. As the first step, however, one should develop a fast and accurate numerical method for the solution of the forward problem to simulate the data for the inverse problem. The main difficulty of the latter consists of the requirement of solving a Helmholtz- like equation for high frequencies which is very time consuming using standard direct solution techniques. A novel accurate and rapid numerical procedure for the solution of this equation is described in this paper.

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Yuriy A. Gryazin, Michael V. Klibanov, and Thomas R. Lucas "Tomographic images of land mines by the elliptic systems method using GPR: efficient solution of the forward problem", Proc. SPIE 3710, Detection and Remediation Technologies for Mines and Minelike Targets IV, (2 August 1999); https://doi.org/10.1117/12.357109

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