The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval II. Obstacles with a dissipative boundary or finite refractive index and back-scattering data
Analysis of PDEs
2020-01-27 v1 Mathematical Physics
math.MP
Abstract
In this paper a wave is generated by an initial data whose support is localized at the outside of unknown obstacles and observed in a limited time on a known closed surface or the same position as the support of the initial data. The observed data in the latter process are nothing but the back-scattering data. Two types of obstacles are considered. One is obstacles with a dissipative boundary condition which is a generalization of the sound-hard obstacles; another is obstacles with a finite refractive index, so-called, transparent obstacles. For each type of obstacles two formulae which yield explicitly the distance from the support of the initial data to unknown obstacles are given.
Keywords
Cite
@article{arxiv.1107.2455,
title = {The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval II. Obstacles with a dissipative boundary or finite refractive index and back-scattering data},
author = {Masaru Ikehata},
journal= {arXiv preprint arXiv:1107.2455},
year = {2020}
}
Comments
34 pages, submitted to Inverse Problems on 13 July 2011