Reflection for three-dimensional plane waves in triclinic crystalline medium  

作　　者：Amares Chattopadhyay 

机构地区：[1]Department of Applied Mathematics,Indian School of Mines University,Dhanbad-826004,Jharkhand,India

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第10期1309-1318,共10页应用数学和力学（英文版）

摘　　要：The propagation of three-dimensional plane waves at a traction free boundary of a half-space composed of triclinic crystalline material is discussed. A method has been developed to find the analytical expressions of all the three phase velocities of quasi-P （qP）, quasi-SV （qSV） and quasi-SH （qSH） in three dimensions. Closed form expressions in three dimensions for the amplitude ratios of reflection coefficients of qP, qSV and qSH waves in a triclinic medium are obtained. These expressions are used for numerically studying the variation of the reflection coetticients with the angle of incidence. The graphs are drawn for different polar angle and azimuth. Numerical results presented indicate that the anisotropy affect the reflection coetticients significantly in the three dimensional case compared to the two-dimensional case.The propagation of three-dimensional plane waves at a traction free boundary of a half-space composed of triclinic crystalline material is discussed. A method has been developed to find the analytical expressions of all the three phase velocities of quasi-P （qP）, quasi-SV （qSV） and quasi-SH （qSH） in three dimensions. Closed form expressions in three dimensions for the amplitude ratios of reflection coefficients of qP, qSV and qSH waves in a triclinic medium are obtained. These expressions are used for numerically studying the variation of the reflection coetticients with the angle of incidence. The graphs are drawn for different polar angle and azimuth. Numerical results presented indicate that the anisotropy affect the reflection coetticients significantly in the three dimensional case compared to the two-dimensional case.

关 键 词：THREE-DIMENSIONAL polar angle AZIMUTH REFLECTION triclinic medium quasi-P quasi-SV quasi-SH waves 

分 类 号：O347.41[理学—固体力学]