Scattering Control for the Wave Equation with Unknown Wave Speed

Abstract

Consider the acoustic wave equation with unknown, not necessarily smooth, wave speed $c$. 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 $c$. In the context of seismic or ultrasound imaging, this can be viewed as removing multiple reflections from normal-directed wavefronts.

43 pages, 17 figures

References in corpus (1)

• On the Construction of Virtual Interior Point Source Travel Time Distances from the Hyperbolic Neumann-to-Dirichlet Map

Cited by in corpus (2)

• Inverse problems for non-linear hyperbolic equations with disjoint sources and receivers
• Quantitative stability of Gel'fand's inverse boundary problem