A Super-Exponential Decaying Property of Odd-Dimensional Wave Scattered by an Obstacle

2011/01/20 by Lung-Hui Chen, Chen, Lung-Hui
Engineering · Mathematics · Physics and Astronomy · #Electromagnetic Scattering and Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Microwave Imaging and Scattering Analysis #math.FA

paper · pdf · doi:10.48550/arxiv.1101.3850

arxiv created 2011/01/20 · openalex publication_date 2011/01/20 · arxiv updated 2011/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We examine an inverse backscattering property of wave motion imposed by an obstacle. We show that if the wave propagator decays super-exponentially along the back-scattered geodesics, then the involved scatterer must be trivial. In particular, if the fundamental solution decays super-exponentially some time after t=0, it vanishes for all time. We use finite speed of propagation in this article.

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