An analytical solution of the reflection and refraction problems for coupled waves in elastic and piezoelectric media

Author

Tleukenov, S.K. ; Zhakiyev, N.K. ; Yeltinova, L.A.

Author_Institution

Dept. Tech. Phys., L.Gumilyov Eurasian Nat. Univ., Astana, Kazakhstan

fYear

2013

fDate

21-25 July 2013

Firstpage

1025

Lastpage

1028

Abstract

The analytical solutions of reflection/refraction problems for bulk acoustic plane waves at the interface between elastic media and piezoelectric media are obtained by matricant method. The analysis is carried out for interface between orthorhombic media of class 2mm (Ba₂NaNb₅O₁₅) and tetragonal media of class 4mm (BaTiO₃). With this aim, a set of joint equations of elastic medium motion and Maxwell´s equations for electromagnetic waves is used. The reflection/refraction coefficients at the interface between piezoelectric media are calculated beyond the quasi-static approximation. The results obtained are in agreement with the general Snell´s law for any incident bulk elastic wave angles.

Keywords

Maxwell equations; acoustic waves; barium compounds; piezoelectric materials; sodium compounds; Ba₂NaNb₅O₁₅-BaTiO₃; Maxwell equations; Snell law; analytical solution; bulk acoustic plane waves; coupled waves; elastic media; elastic medium motion; electromagnetic waves; incident bulk elastic wave angles; joint equations; matricant method; orthorhombic media; piezoelectric media; quasistatic approximation; reflection coefficients; reflection problems; refraction coefficients; refraction problems; tetragonal media; Crystals; Electromagnetic scattering; Equations; Joints; Media; Reflection; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Ultrasonics Symposium (IUS), 2013 IEEE International

Conference_Location

Prague

ISSN

1948-5719

Print_ISBN

978-1-4673-5684-8

Type

conf

DOI

10.1109/ULTSYM.2013.0263

Filename

6724841