Structure analysis of single- and multi-frequency subspace migrations in inverse scattering problems
Mathematical Physics
2013-04-04 v2 math.MP
Abstract
In this literature, we carefully investigate the structure of single- and multi-frequency imaging functions, that are usually employed in inverse scattering problems. Based on patterns of the singular vectors of the Multi-Static Response (MSR) matrix, we establish a relationship between imaging functions and the Bessel function. This relationship indicates certain properties of imaging functions and the reason behind enhancement in the imaging performance by multiple frequencies. Several numerical simulations with a large amount of noisy data are performed in order to support our investigation.
Keywords
Cite
@article{arxiv.1208.0641,
title = {Structure analysis of single- and multi-frequency subspace migrations in inverse scattering problems},
author = {Young Deuk Jo and Young Mi Kwon and Joo Young Huh and Won-Kwang Park},
journal= {arXiv preprint arXiv:1208.0641},
year = {2013}
}
Comments
11 pages, 10 figures