压电晶体表面激发的二维声表面波Green函数

基金项目:

本工作得到国家自然科学基金支持.

TWO DIMENSIONAL SAW GREEN'S FUNCTIONS FOR SURFACE EXCITATION OF PIEZOELECTRIC CRYSTAL

摘要: 最近,我们研究了在压电晶体半空间表面激发的二维广义Green函数。在本文将仔细讨论广义Green函数的表面波部分。用稳相法给出声表面波远场渐近解。但是由于这样的渐近解在接近慢度曲线的拐点处失效,我们发展了用变型Airy函数表示的普适渐近解,从而解决了在拐点附近的解的衔接问题。
对于Y切LINbO₃,进行了声表面波Green函数分量和功率流密度的数值计算,结果表明在Y切LiNbO₃的Z方向上出现聚焦现象.

Abstract: Recently we have investigated two-dimensional generalized Green's functions for surface excitation in a half space of piezoelectric crystal.In this paper,the SAW part of generalized Green's functions are discussed in detail.On using the method of stationary phase,the asymptotic behavier of SAW far fields is obtained.But,since such asymptotic solutions near the turning points of slowness curve fail,the general asymptotic solutions expressed by a varied Airy function are developed.And the joining problem of solutions near the turning points can be resolved.
Finally,for the Y-cut LiNbO₃,the components and the power flux density of SAW Green's function at far fields are numerically calculated.The results show that focusing phenomena at the Z direction Y-cut LiNbO₃ is presented.

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