Semiclassical inverse spectral problem for elastic Love waves in isotropic media

TL;DR

This paper addresses the inverse spectral problem for elastic Love waves in isotropic media, establishing uniqueness and reconstruction methods for the S-wavespeed from semiclassical spectra.

Contribution

It introduces a novel approach to uniquely determine the S-wavespeed with multiple wells using semiclassical spectral data for Love waves.

Findings

Proves uniqueness of the inverse problem under certain conditions.

Develops a reconstruction scheme for the S-wavespeed.

Demonstrates applicability to media with multiple wells.

Abstract

We analyze the inverse spectral problem on the half line associated with elastic surface waves. Here, we focus on Love waves. Under certain generic conditions, we establish uniqueness and present a reconstruction scheme for the S- wavespeed with multiple wells from the semiclassical spectrum of these waves.