The factorization and monotonicity method for the defect in an open periodic waveguide
Analysis of PDEs
2021-06-16 v3
Abstract
In this paper, we consider the inverse scattering problem to reconstruct the defect in an open periodic waveguide from near field data. Our first aim is to mention that there is a mistake in the factorization method of Lechleiter 2008. By this we can not apply it to solve this inverse problem. Our second aim is to give ways to understand the defect from inside (Theorem 1.1) and outside (Theorem 1.2) based on the monotonicity method.
Cite
@article{arxiv.1907.10670,
title = {The factorization and monotonicity method for the defect in an open periodic waveguide},
author = {Takashi Furuya},
journal= {arXiv preprint arXiv:1907.10670},
year = {2021}
}
Comments
23 pages, 6 figures, arXiv admin note: text overlap with arXiv:1906.01180