浙江大学学报（理学版）2012，Vol.39Issue(2)：162-165,4.DOI:10.3785/j.issn.1008-9497.2012.02.008
各向同性晶体栅阵反射系数的二维理论分析
Two-dimensional analysis of properties of surface acoustic waves propagating in a finite isotropic solid with periodic metal grating
摘要
Abstract
A surface acoustic waves (SAW) device is usually treated as a semi-infinite elastic body* though it is virtually a finite elastic solid. Based on the two-dimensional theory of finite elastic solids, a new method is developed for the analysis of surface acoustic waves propagating under periodic metal grating on a finite isotropic solid, resembling the Chen and Haus's theory. The two-dimensional solutions of the mechanical displacements was used to derive the expression of the reflection coefficient dominated by the mechanical loading effect and achieved the value for Al strip on glass substrate. It is shown that when the length of the elastic solid is odd times as long as the wavelength reflection coefficient is positive and its absolute value is smaller, whereas when the length of the elastic solid is even times as long as the wavelength reflection coefficient is negative and its absolute value is bigger. This means that the length of the elastic solid should equal even times as long as the wavelength for achieving bigger reflection coefficient.关键词
声表面波/反射系数/栅阵/变分原理Key words
surface acoustic waves/ reflection coefficient/ grating/ variational principle分类
数理科学引用本文复制引用
张燕华,徐方迁,周选昌..各向同性晶体栅阵反射系数的二维理论分析[J].浙江大学学报（理学版）,2012,39(2):162-165,4.基金项目
国家自然科学基金资助项目(10974171). （10974171）
