Reflection for Three-Dimensional Plane Waves in Triclinic Crystalline Medium

A. Chattopadhyay

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A. Chattopadhyay. Reflection for Three-Dimensional Plane Waves in Triclinic Crystalline Medium[J]. Applied Mathematics and Mechanics, 2007, 28(10): 1166-1174.

Citation:

A. Chattopadhyay. Reflection for Three-Dimensional Plane Waves in Triclinic Crystalline Medium[J]. Applied Mathematics and Mechanics, 2007, 28(10): 1166-1174.

Citation:

A. Chattopadhyay. Reflection for Three-Dimensional Plane Waves in Triclinic Crystalline Medium[J]. Applied Mathematics and Mechanics, 2007, 28(10): 1166-1174.

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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

Received Date: 2006-05-08
Rev Recd Date: 2007-06-07
Publish Date: 2007-10-15

Abstract

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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References(20)

References

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