Research on Interfacial Wave of Lithium Niobate and Isotropic Media
Date Issued
2009
Date
2009
Author(s)
Wang, Chi-Hsin
Abstract
This thesis brings up a method to solve the wave propagating problem in semi-infinite medium based on Laplace transform. The treatment simplifies the problem, and become a single eigen-value problem to lower the difficulty on numerical processes. The Laplace transform in thickness direction coordinate is applied to the governing equation at both sides of the interface firstly. Then substitute the boundary conditions which relate the two semi-infinite mediums as undetermined coefficients in the transformed governing equation. The displacement field and electrical potential field in transformed domain in both side of interface are them obtained, an inverse transform applied to which after that result in the displacement field and electrical potential field in the untransformed space. Afterward, a judgment of whether the field convergence at infinite, which is the existence condition of the interfacial wave is executed, deriving the velocity function of the interfacial wave propagating problem. To verify the validity of this process, the method above is used to compute the velocity function of interfacial wave for isotropic material. It comes out to be identical with that already done by other scholars. The Laplace transform method is then carried out to solve the existence range of interfacial wave among cubic cubic interface and isotropic interface to discuss the influence of material constants on the existence range of interfacial wave.
Subjects
interfacial wave
sroneley wave
laplace
lithium niobate
Type
thesis