The enclosure method for inverse obstacle scattering over a finite time interval: V. Using time-reversal invariance
Analysis of PDEs
2021-03-16 v9
Abstract
The wave equation is time-reversal invariant. The enclosure method using a Neumann data generated by this invariance is introduced. The method yields the minimum ball that is centered at a given arbitrary point and encloses an unknown obstacle embedded in a known bounded domain from a single point on the graph of the so-called response operator on the boundary of the domain over a finite time interval. The occurrence of the lacuna in the solution of the free space wave equation is positively used.
Keywords
Cite
@article{arxiv.1805.00593,
title = {The enclosure method for inverse obstacle scattering over a finite time interval: V. Using time-reversal invariance},
author = {Masaru Ikehata},
journal= {arXiv preprint arXiv:1805.00593},
year = {2021}
}
Comments
24 pages, the final version