Transfer matrix of the sixth order

Author

Belyayev, Yuriy N.

Author_Institution

Syktyvkar Univ., Syktyvkar, Russia

fYear

2014

fDate

26-30 May 2014

Firstpage

37

Lastpage

42

Abstract

Method of the transfer matrix is used to describe the six-wave diffraction in layered media. The system of differential equations that determine the 6-order transfer matrix is solved by the scaling method with the aid of 6-th order symmetric polynomials. This method is applied to the elastic waves in anisotropic media. Influence of layer thickness and frequency of the wave on the scaling parameter is found. Analytic solutions describing the transfer of thermoe-lastic waves in isotropic media and elastic stresses in the crystalline layers of the cubic, tetragonal and orthorhombic systems are obtained.

Keywords

acoustic wave diffraction; diffraction; matrix algebra; wave propagation; 6-th order symmetric polynomials; anisotropic media; crystalline layers; differential equations system; elastic waves; layer thickness; layered media; orthorhombic systems; scaling method; scaling parameter; six-wave diffraction; sixth order transfer matrix; tetragonal systems; thermoelastic waves; wave frequency; Mathematical model; Matrices; Polynomials; Symmetric matrices; TV; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Days on Diffraction (DD), 2014

Conference_Location

St. Petersburg

Print_ISBN

978-1-4799-7331-6

Type

conf

DOI

10.1109/DD.2014.7036420

Filename

7036420