摘要
从压电耦合场在准静态近似下的波动方程得到Christoffel方程,要使方程有解,特征矩阵必须为零,从而得到色散方程,并给出倒速度函数的一般表达式。一般的都只给出倒速度曲线,该文用Matlab工具给出直观,可视的倒速度曲面,它的结果也可用于分析压电耦合场的传播特性。
Getting the Christoffel equation from the coupled acoustic and electromagnetic fields＇ wave equation under quasistatic approximation. The solution of the equation is obtained by setting the determinant of eigen matrix to zero, then the dispersion equation is given, and the representation of the inverse velocity function is presented. The common papers always only give the curve of the inverse velocity. But direct and visual surface of the inverse velocity is given by using MATLAB tool in this paper. The results also can be applied to analyze the characteristic of the coupledwave propagation.
基金
国家自然科学基金资助项目(60471011)
关键词
压电效应
特征方程
色散方程
倒速度面
piezoelectric effect
characteristic equation
dispersion equation
inverse velocity surface
