Scattering Control for the Wave Equation with Unknown Wave Speed
Analysis of PDEs
2018-08-29 v3
Abstract
Consider the acoustic wave equation with unknown, not necessarily smooth, wave speed . We propose and study an iterative control procedure that erases the history of a wave field up to a given depth in a medium, without any knowledge of . In the context of seismic or ultrasound imaging, this can be viewed as removing multiple reflections from normal-directed wavefronts.
Cite
@article{arxiv.1701.01070,
title = {Scattering Control for the Wave Equation with Unknown Wave Speed},
author = {Peter Caday and Maarten V. de Hoop and Vitaly Katsnelson and Gunther Uhlmann},
journal= {arXiv preprint arXiv:1701.01070},
year = {2018}
}
Comments
43 pages, 17 figures