Reflection and Transmission Coefficients in Multi-Layered Fully Anisotropic Media Solved by Transfer Matrix Method with Plane Waves for Predicting Energy Transmission Course

2020 ◽  
pp. 1-1
Author(s):  
Yuxian Zhang ◽  
Naixing Feng ◽  
Guo Ping Wang ◽  
Hongxing Zheng
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Plane Waves ◽  
Anisotropic Media ◽  
Reflection And Transmission Coefficients ◽  
Energy Transmission ◽  
Reflection And Transmission ◽  
Transmission Coefficients

Reflection and Transmission Coefficients of Plane Waves in Magnetoelectroelastic Layered Structures

2008 ◽  
Vol 130 (3) ◽  
Author(s):  
J. Y. Chen ◽  
H. L. Chen ◽  
E. Pan
Keyword(s):  
Piezoelectric Materials ◽  
Plane Waves ◽  
Layered Structures ◽  
Organic Glass ◽  
Reflection And Transmission Coefficients ◽  
Material Structure ◽  
Layered System ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Novel Material

Reflection and transmission coefficients of plane waves with oblique incidence to a multilayered system of piezomagnetic and/or piezoelectric materials are investigated in this paper. The general Christoffel equation is derived from the coupled constitutive and balance equations, which is further employed to solve the elastic displacements and electric and magnetic potentials. Based on these solutions, the reflection and transmission coefficients in the corresponding layered structures are subsequently obtained by virtue of the propagator matrix method. Two layered examples are selected to verify and illustrate our solutions. One is the purely elastic layered system composed of aluminum and organic glass materials. The other layered system is composed of the novel magnetoelectroelastic material and the organic glass. Numerical results are presented to demonstrate the variation of the reflection and transmission coefficients with different incident angles, frequencies, and boundary conditions, which could be useful to nondestructive evaluation of this novel material structure based on wave propagations.

Terahertz Wave Characteristic of Single Walled Carbon Nanotubes Using Propagation Matrix Method

Frequenz ◽  
2015 ◽  
Vol 69 (9-10) ◽  
Author(s):  
Mao Yan Wang ◽  
Hailong Li ◽  
Meng Zhang ◽  
Yuliang Dong ◽  
Cuilin Zhong
Keyword(s):  
Carbon Nanotubes ◽  
Matrix Method ◽  
Single Walled Carbon Nanotubes ◽  
Terahertz Wave ◽  
Reflection And Transmission Coefficients ◽  
Stratified Media ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Propagation Matrix ◽  
Walled Carbon Nanotubes

AbstractThe reflection, transmission, and absorption coefficients of Terahertz wave from one dimensional stratified media containing dispersive single walled carbon nanotubes (SWCNTs) are presented with the propagation matrix method. Firstly, the propagation matrix for the whole stratified media slab is obtained by applying electromagnetic waves in each stratified media to the boundary conditions of continuous tangential fields. The reflection and transmission coefficients are got by solving the propagation matrix expressed in the matrix recursion form. Then the accuracy of the propagation matrix method is verified by comparing with numerical results of the Finite-Difference Time-Domain method in reference. The effects to reflection and transmission coefficients of stratified media containing SWCNTs caused by the working frequency, thickness of SWCNTs and silicon dioxide substrate are investigated in detail.

Reflection and transmission coefficients for seismic waves in ellipsoidally anisotropic media

Geophysics ◽  
1979 ◽  
Vol 44 (1) ◽  
pp. 27-38 ◽  
Author(s):  
P. F. Daley ◽  
F. Hron
Keyword(s):  
Wave Propagation ◽  
Anisotropic Medium ◽  
Transverse Isotropy ◽  
Transversely Isotropic ◽  
Anisotropic Media ◽  
Reflection And Transmission Coefficients ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
The Earth ◽  
Special Case

The deficiency of an isotropic model of the earth in the explanation of observed traveltime phenomena has led to the mathematical investigation of elastic wave propagation in anisotropic media. A type of anisotropy dealt with in the literature (Potsma, 1955; Cerveny and Psencik, 1972; and Vlaar, 1968) is uniaxial anisotropy or transverse isotropy. A special case of transverse isotropy which assumes the wavefronts to be ellipsoids of revolution has been used by Cholet and Richard (1954) and Richards (1960) in accounting for the observed traveltimes at Berraine in the Sahara and in the foothills of Western Canada. The kinematics of this problem have been treated in a number of papers, the most notable being Gassmann (1964). However, to appreciate fully the effect of anisotropy, the dynamics of the problem must be explored. Assuming a model of the earth consisting of plane transversely isotropic layers with the axes of anisotropy perpendicular to the interfaces, a prime requisite for obtaining amplitude distance curves or synthetic seismograms is the calculation of reflection and transmission coefficients at the interfaces. In this paper the special case of ellipsoidal anisotropy will be considered. That the quasi‐shear SV wavefront is forced to be spherical by this assumption is unfortunate, but it is instructive to investigate this simple anisotropic model as it incorporates many features inherent to wave propagation in a more general anisotropic medium. A brief outline of the theory for wave propagation in an ellipsoidally anisotropic medium is given and the analytic expressions for the reflection and transmission coefficients are listed. A complete derivation of reflection and transmission coefficients in transversely isotropic media can be found in Daley and Hron (1977). Finally, all 24 possible reflection and transmission coefficients and surface conversion coefficients are displayed for varying degrees of anisotropy.

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