Ray-centred coordinate systems in anisotropic media
Ray-centred coordinate systems in anisotropic media
复制标题
各向异性介质中的射线中心坐标系
DOI：
10.1007/s11200-006-0027-7
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发表时间：
2006
影响因子：
0.9
通讯作者：
L. Klimeš
中科院分区：
文献类型：
--
作者：
L. Klimeš
虽然波波夫和Pšenčík的各向同性介质的射线中心坐标是通过选择沿射线沿着的一点处的基向量来唯一定义的，但在选择各向异性介质的射线中心坐标时有相当大的自由度。我们描述的属性共同的所有射线为中心的坐标系的各向异性介质和一般条件，这可能会施加在基向量。然后，我们讨论六个不同的特定选择的射线中心坐标在各向异性介质。此概述可用于选择最适合于特定应用的射线中心坐标。该方程是针对任意阶的一般齐次哈密顿量导出的，因此既适用于各向异性射线理论射线，也适用于各向异性普通S波射线。
Whereas the ray-centred coordinates for isotropic media by Popov and Pšenčík are uniquely defined by the selection of the basis vectors at one point along the ray, there is considerable freedom in selecting the ray-centred coordinates for anisotropic media. We describe the properties common to all ray-centred coordinate systems for anisotropic media and general conditions, which may be imposed on the basis vectors. We then discuss six different particular choices of ray-centred coordinates in an anisotropic medium. This overview may be useful in choosing the ray-centred coordinates best suited for a particular application. The equations are derived for a general homogeneous Hamiltonian of an arbitrary degree and are thus applicable both to the anisotropic-ray-theory rays and anisotropic common S-wave rays.