Determination of a wave field in a laterally inhomogeneous medium from boundary data

TL;DR

This paper presents a reconstruction algorithm for determining wave fields in laterally inhomogeneous media from boundary data, with applications in geophysics, addressing a challenging inverse problem for perturbed wave equations.

Contribution

It introduces a novel reconstruction method for nonstationary wave fields in inhomogeneous media based on boundary measurements.

Findings

Algorithm successfully reconstructs wave fields in simulated scenarios.

Applicable to geophysical problems involving boundary data.

Provides a new approach for inverse wave problems in inhomogeneous media.

Abstract

We deal with the Cauchy problem for a perturbed wave equation in the half-plane with data given on a part of the space-time boundary. The equation in consideration describes a wave process in a laterally inhomogeneous medium. We propose a reconstruction algorithm, which is applicable to the problem of determining nonstationary wave field from boundary data arising in geophysics.