Abstract

The mathematical models of a long electrode with finite cross-section dimensions, an electrode pair and an interdigital transducer in the excitation mode of surface acoustic waves in Z-sections of piezoelectric crystals of the 6mm crystallographic class are proposed in this article. The accounting of finite dimensions of the electrodes cross-section makes corrections in the numerical values of the synchronism frequency and the level of radiated surface waves. The analytical expressions are obtained and the effect of the electrode cross-section dimensions in electrode pair on the synchronism frequency, the amplitude of the surface acoustic wave, and the module of wave characteristic of interdigital transducer are investigated. We prove that at zero electrode thickness, the maximum displacement level in surface acoustic wave is of 9.75%, and for the square electrode section is 37.25% less than the value obtained by the δ-sources method. At the same time, the synchronism frequency decreases by 9% in the first case. With the electrode thickness equal to the half-width, the real value of synchronism frequency is of 21.7%, and the surface wave amplitude is 33.1% less than in the case of the δ-sources method.

中文翻译：

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压电晶体中叉指换能器对表面声波的激发特性

摘要

本文提出了具有有限横截面尺寸的长电极、电极对和叉指换能器的数学模型，它们在 6mm 晶体学类压电晶体的 Z 截面中的表面声波激发模式下。电极横截面的有限尺寸的计算对同步频率的数值和辐射表面波的水平进行了修正。得到了解析表达式，研究了电极对中电极截面尺寸对同步频率、声表面波幅值和叉指换能器波特性模数的影响。我们证明在零电极厚度下，表面声波的最大位移水平为 9.75%，方形电极截面比δ源法得到的值小37.25%。同时，在第一种情况下，同步频率降低了 9%。电极厚度等于半宽时，同步频率实值为21.7%，面波幅值比δ源法小33.1%。