The enclosure method for inverse obstacle scattering over a finite time interval: V. Using time-reversal invariance

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.

24 pages, the final version

References in corpus (1)

• The enclosure method for inverse obstacle scattering over a finite time interval: IV. Extraction from a single point on the graph of the response operator

Cited by in corpus (4)

• Extracting discontinuity using the probe and enclosure methods
• The enclosure method for inverse obstacle scattering over a finite time interval: VI. Using shell type initial data
• The enclosure method for the heat equation using time-reversal invariance for a wave equation
• On finding a penetrable obstacle using a single electromagnetic wave in the time domain