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物理学报. 1994, 43(8): 1217-1225.
doi: 10.7498/aps.43.1217.
轴对称非均匀弹性介质中引力波对声子的作用效应
- 收稿日期: 1992-06-19
- 刊出日期: 1994-08-20
摘要: 采用Ｓｅｒｅｂｒｙａｎｙ的复空间中的复坐标法，讨论了轴对称非均匀弹性介质中引力波对声子的作用效应，并给出了由引力波产生的激发力的表达式和相应的声子解。解的形式表明，平行于对称轴方向传播的引力波只对声子场的径向分量、切向分量产生扰动，垂直于对称轴方向传播的引力波则对声子场的径向分量、切向分量和轴向分量均产生扰动，扰动强度取决于切变模量径向分布函数的具体形式和引力波的振幅。此外，本文还将所得结果与含有螺旋位错的拓扑声子空间中引力波的扰动效应作了比较。
English Abstract
EFFECT OF GRAVITATIONAL WAVES ON PHONON IN AXISYMMETRIC NON-UNIFORM ELASTIC MEDIUM
- Received Date:
19 June 1992
- Published Online:
20 August 1994
Abstract: The effect of gravitational waves (GW) on phonon in axisymmectic non-uniform elastic medium is analysed by means of the complex coordinate in Serebryany's complex space. and expression of diving force produced by the GW and corresponding phonon soluitons are given. In our solution forms. they are shown that the GW propagating along symmetric axial direction generates only perturbation to radial and tangential components of the phonon fields. while the GW propagating along direction perpendicular to the symmetric axis generates perturbation to all components of the phonon fields. i.e., radial, tangential and axial components. The strength of pertur-bation depends on concrete form of radial distribution function of shear modulus and the GW's amplitude. Moreover, above results are compared with the GW's perturbing effect in topological phonon space with the spiral dislocation.
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