Imaging of buried objects from multi-frequency experimental data using a globally convergent inversion method

Abstract

This paper is concerned with the numerical solution to a three-dimensional coefficient inverse problem for buried objects with multi-frequency experimental data. The measured data, which are associated with a single direction of an incident plane wave, are backscatter data for targets buried in a sandbox. These raw scattering data were collected using a microwave scattering facility at the University of North Carolina at Charlotte. We develop a data preprocessing procedure and exploit a newly developed globally convergent inversion method for solving the inverse problem with these preprocessed data. It is shown that dielectric constants of the buried targets as well as their locations are reconstructed with a very good accuracy. We also prove a new analytical result which rigorously justifies an important step of the so-called “data propagation” procedure.

Document Details

Document Type
Pub Defense Publication
Publication Date
Sep 21, 2017
Source ID
10.1515/jiip-2017-0047

Entities

People

  • Dinh-Liem Nguyen
  • Loc H. Nguyen
  • Michael A. Fiddy
  • Michael Klibanov

Organizations

  • Army Research Office
  • Kansas State University
  • Office of Naval Research
  • University of North Carolina at Charlotte

Tags

Readers

  • Academic Conference Management
  • Acoustical Oceanography.
  • Approximation Theory.