Title :
On the left eigenvectors of Stroh matrices
Author_Institution :
Inst. of Fundamental Technol. Res., Warsaw, Poland
Abstract :
The Stroh formalism is becoming a popular tool in the analysis of surface waves and related phenomena in anisotropic solids and piezoelectrics. It is shown that the left eigenvectors of a nonsymmetric matrix resulting from the Stroh system of equations governing wave motion in anisotropic piezoelectric halfspace, as well as of the analogous Stroh matrix for the electromagnetic case of certain anisotropic media, can be obtained by simple manipulation of its right eigenvectors. This can be helpful in many calculations exploiting the Stroh formalism, for example in evaluation of a functional approximation to the planar harmonic Green´s function of anisotropic media
Keywords :
Green´s function methods; anisotropic media; eigenvalues and eigenfunctions; matrix algebra; piezoelectric materials; surface electromagnetic waves; Stroh equations; Stroh matrices; anisotropic piezoelectric halfspace; electromagnetic case; functional approximation; left eigenvectors; nonsymmetric matrix; planar harmonic Green function; right eigenvectors; surface waves; wave motion; Anisotropic magnetoresistance; Electromagnetic scattering; Equations; Green´s function methods; Harmonic analysis; Magnetic materials; Solids; Surface waves; Symmetric matrices; Transmission line matrix methods;
Conference_Titel :
Microwaves, Radar and Wireless Communications. 2000. MIKON-2000. 13th International Conference on
Conference_Location :
Wroclaw
Print_ISBN :
83-906662-3-5
DOI :
10.1109/MIKON.2000.913977
