三斜晶体介质中三维平面波的反射

A·夏托帕德海依

三斜晶体介质中三维平面波的反射

A·夏托帕德海依

印度矿业大学应用数学系,贾坎德 826004,印度

详细信息

中图分类号: O347.41
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出版历程
- 收稿日期: 2006-05-08
- 修回日期: 2007-06-07
- 刊出日期: 2007-10-15

Reflection for Three-Dimensional Plane Waves in Triclinic Crystalline Medium

A. Chattopadhyay

Department of Applied Mathematics, Indian School of Mines University, Dhanbad-826004, Jharkhand, India

摘要

摘要: 讨论三斜晶体介质半空间应力自由边界处三维平面波的传播．给出了1个寻找三维准P(qP)、准SV(qSV)和准SH(qSH)波的所有3个相速度解析表达式的方法．得出了三斜介质中qP、qSV、qSH波反射系数振幅比的三维闭式解，将其用于研究不同入射角时，对应的反射系数的数值变化，给出了不同极角和方位角时的图示．最后通过数值实例表明，与二维的情况相比较,三维各向异性对反射系数的影响更明显．
- 三维 /
- 极角 /
- 方位角 /
- 反射 /
- 三斜介质 /
- 准P波 /
- 准SV波 /
- 准SH波
Abstract: The propagation of three-dimensional plane waves at a traction free boundary of a halfspace composed of triclinic crystalline material is discussed.A method has been developed t o 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 were obtained.These expressions are used for studying numerically the variation of the reflection coefficients with the angle of incidence.The graphs were drawn for different polar angle and azimuth.Numerical results presented indicate that the anisotropy affect the reflection coefficients significantly in three-dimensional case compared to two-dimensional case.
- three-dimensional /
- polar angle /
- azimuth /
- reflection /
- triclinic medium /
- quasi-P /
- quasiSV /
- quasi-SH wave

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参考文献(20)

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