A novel study on subspace migration for imaging of a sound-hard arc
Numerical Analysis
2018-01-09 v1
Abstract
In this study, the influence of a test vector selection used in subspace migration to reconstruct the shape of a sound-hard arc in a two-dimensional inverse acoustic problem is considered. In particular, a new mathematical structure of imaging function is constructed in terms of the Bessel functions of the order 0, 1, and 2 of the first kind based on the structure of singular vectors linked to the nonzero singular values of a Multi-Static Response (MSR) matrix. This structure indicates that imaging performance of subspace migration is highly related to the unknown shape of arc. The simulation results with noisy data indicate support for the derived structure.
Keywords
Cite
@article{arxiv.1707.03643,
title = {A novel study on subspace migration for imaging of a sound-hard arc},
author = {Won-Kwang Park},
journal= {arXiv preprint arXiv:1707.03643},
year = {2018}
}
Comments
9 pages, 12 figures