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Semiclassical inverse spectral problem for elastic Rayleigh waves in isotropic media

2019/08/29 by Maarten V. de Hoop, Alexei Iantchenko, de Hoop, Maarten V. +5
Mathematics · Engineering · #Numerical methods in inverse problems #Thermoelastic and Magnetoelastic Phenomena #Ultrasonics and Acoustic Wave Propagation

paper · pdf · doi:10.48550/arxiv.1908.11698

Abstract

We analyze the inverse spectral problem on the half line associated with elastic surface waves. Here, we extend the treatment of Love waves [arXiv: 1908.10529] to Rayleigh waves. Under certain conditions, and assuming that the Poisson ratio is constant, we establish uniqueness and present a reconstruction scheme for the S-wave speed with multiple wells from the semiclassical spectrum of these waves.

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