Multi-frequency imaging of perfectly conducting cracks via boundary measurements
Mathematical Physics
2013-02-13 v1 math.MP
Abstract
Imaging of perfectly conducting crack(s) in a 2-D homogeneous medium using boundary data is studied. Based on the singular structure of the Multi-Static Response (MSR) matrix whose elements are normalized by an adequate test function at several frequencies, an imaging functional is introduced and analyzed. A non-iterative imaging procedure is proposed. Numerical experiments from noisy synthetic data show that acceptable images of single and multiple cracks are obtained.
Keywords
Cite
@article{arxiv.1207.1812,
title = {Multi-frequency imaging of perfectly conducting cracks via boundary measurements},
author = {Won-Kwang Park and Dominique Lesselier},
journal= {arXiv preprint arXiv:1207.1812},
year = {2013}
}
Comments
4 pages, 3 figures