The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval

Abstract

A simple method for some class of inverse obstacle scattering problems is introduced. The observation data are given by a wave field measured on a known surface surrounding unknown obstacles over a finite time interval. The wave is generated by an initial data with compact support outside the surface. The method yields the distance from a given point outside the surface to obstacles and thus more than the convex hull.

24pages, revised

References in corpus (1)

• The enclosure method for the heat equation

Cited by in corpus (13)

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• An inverse problem for a three-dimensional heat equation in thermal imaging and the enclosure method
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• Inverse obstacle scattering problems with a single incident wave and the logarithmic differential of the indicator function in the Enclosure Method
• Extracting discontinuity using the probe and enclosure methods
• The enclosure method for inverse obstacle scattering over a finite time interval: V. Using time-reversal invariance
• Prescribing a heat flux coming from a wave equation
• The enclosure method for the heat equation using time-reversal invariance for a wave equation
• Detecting a hidden obstacle via the time domain enclosure method. A scalar wave case
• On finding a penetrable obstacle using a single electromagnetic wave in the time domain