Title :
On construction of uniform asymptotics for Love waves near the surface of an anisotropic elastic body
Author :
Yanson, Zinaida A.
Author_Institution :
V.A. Steklov Math. Inst., St. Petersburg, Russia
Abstract :
The uniform high-frequency asymptotics for surface waves (Love modes) near the surface of an anisotropic elastic body is constructed. The individual mode is represented as the sum of a caustic expansion (analogous to Kravtsov´s (1964) ansatz) and two correction terms in the form of space-time ray series with complex eikonals. Using as a vector basis, eigenfunctions of the symmetric matrix, occurring in the asymptotic solutions, we proceed to obtain the sufficient conditions for the determinant of the nonhomogeneous system (arising from the boundary conditions) proves to be non-zero
Keywords :
Love waves; eigenvalues and eigenfunctions; matrix algebra; Kravtsov´s ansatz; Love modes; Love waves; anisotropic elastic body; asymptotic solutions; boundary conditions; caustic expansion; complex eikonals; eigenfunctions; elastic body waves propagation; nonhomogeneous system; space-time ray series; sufficient conditions; symmetric matrix; uniform high-frequency asymptotics; vector basis; whispering gallery waves; Anisotropic magnetoresistance; Board of Directors; Boundary conditions; Eigenvalues and eigenfunctions; Linear systems; Sufficient conditions; Surface waves; Symmetric matrices; Tensile stress; Vectors;
Conference_Titel :
Day on Diffraction 2001. Proceedings. International Seminar
Conference_Location :
St.Petersburg
Print_ISBN :
5-7997-0366-9
DOI :
10.1109/DD.2001.988486
