任意各向异性非均匀介质中高频波传播的欧拉高斯光束
Eulerian Gaussian beams for high frequency wave propagation in inhomogeneous media of arbitrary anisotropy
摘要：
提出了各向异性介质中的欧拉高斯光束法。基于水平集理论和欧拉理论，利用各向异性程函方程推导了运动学和动力学射线追踪方程。与传统的射线中心坐标系下的各向异性高斯波束方法相比，本文推导的各向异性欧拉高斯波束方法具有以下三个优点：（1）可以更容易地处理计算成像点到波束点的距离问题;（2）可以使走时和振幅在实际计算域内均匀分布，无需插值;（3）在理论上和计算上都可以处理完全由相空间中的射线追踪引起的迟至波。
英文摘要：
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.
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