Title :
On intensity of high-frequency surface waves in anisotropic elastic media. The energy approach
Author_Institution :
POMI RAN, St. Petersburg
fDate :
May 28 2005-June 1 2005
Abstract :
The present, paper deals with the solution of the transport equations for the principal order term rarrA0 of the asymptotics of surface waves near the surface of anisotropic elastic body. The space-time ray method is employed in contrast to the previous results of the author. For finding the intensity |rarrA0| an alternative approach is suggested. Firstly, trivial transformations of the recurrent system for the coefficients of ray solution are applied. Secondly, the energy approach of averaging the flux carried along the rays is used. This yields transport equations for the amplitudes of two ray families near the surface S (for rays approaching S and for rays reflected by S). The transport equations are solved in standard ray form by choosing ray parameters in a special manner in the presence of space time caustics. The final formula for the intensity |rarrA0| is obtained by bringing the point of tangency of the ray and the caustic to the surface S
Keywords :
Boltzmann equation; Poisson equation; anisotropic media; elastic waves; anisotropic elastic body; anisotropic elastic media; high-frequency surface waves; ray parameters; space-time ray method; transport equations; Anisotropic magnetoresistance; Diffraction; Elasticity; Equations; Radio access networks; Surface waves; Tensile stress;
Conference_Titel :
Days on Diffraction, 2005. DD 2005. Proceedings of the International Conference
Conference_Location :
St.Petersburg
Print_ISBN :
5-9651-0140-6
DOI :
10.1109/DD.2005.204904