论文标题
尤拉利亚高斯光束,用于在任意各向异性的不均匀介质中的高频波传播
Eulerian Gaussian beams for high frequency wave propagation in inhomogeneous media of arbitrary anisotropy
论文作者
论文摘要
我们介绍各向异性介质中的欧拉高斯光束法。我们使用各向异性Eikonal方程得出了基于水平集理论和欧拉理论的运动学和动态射线追踪方程。与使用射线中心的坐标的传统各向异性高斯光束方法相比,这项工作中得出的各向异性欧拉高斯梁法具有以下三个优点:(1)它可以解决从成像点到光束点的距离的问题; (2)它允许行进时间和振幅在没有插值的情况下均匀地分布在实际的计算域中; (3)它可以在理论上和计算中处理较晚的到达,这完全是由于相位空间中的射线跟踪。
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.