Eulerian Gaussian beams for high frequency wave propagation in inhomogeneous media of arbitrary anisotropy

TL;DR

This paper introduces an Eulerian Gaussian beam method for high-frequency wave propagation in complex anisotropic media, offering improved computational handling of travel times, amplitudes, and late arrivals compared to traditional methods.

Contribution

The paper develops a novel Eulerian Gaussian beam approach for anisotropic media, deriving new ray tracing equations and demonstrating advantages over traditional methods.

Findings

Handles distance calculations more easily.

Distributes travel time and amplitude uniformly.

Effectively manages late arrivals in wave propagation.

Abstract

We present the Eulerian Gaussian beam method in anisotropic media. We derive kinematic and dynamic ray tracing equations based on the level set theory and Eulerian theory using the anisotropic eikonal equation. Compared with the traditional anisotropic Gaussian beam method using ray-centered coordinates, the anisotropic Eulerian Gaussian beam method derived in this work has the following three advantages: (1) it can handle the problem of calculating the distance from the imaging point to the beam point more easily; (2) it allows the travel time and amplitude to be distributed uniformly within the actual computational domain without interpolation; (3) it can handle late arrivals, both theoretically and in calculations, due entirely to ray tracing in the phase space.