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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >Harmonic admittance and dispersion equations-the theorem [SAWs in periodic electrode arrays]
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Harmonic admittance and dispersion equations-the theorem [SAWs in periodic electrode arrays]

机译：谐波导纳和弥散方程-定理[周期电极阵列中的声表面波]

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摘要

The harmonic admittance is known as a powerful tool for analyzing the excitation and propagation of surface acoustic waves (SAWs) in periodic electrode arrays. In particular, the dispersion relationships for open- and short-circuited systems are indicated, respectively, by the zeros and poles of the harmonic admittance. Here, we show that a strict reverse relationship also exists: the harmonic admittance of a periodic system of electrodes may always be expressed as the ratio of two determinants, which have been specifically constructed to describe the eigenmodes of the open- and short-circuited systems. There is no need to solve these equations to find the admittance. The existence of a connection between the excitation and propagation problems was recognized within the coupling-of-modes theory by Chen and Haus (1985) and was recently used to model surface transverse waves by Koskela et al. (1998), but a rigorous mathematical proof was only found later by Biryukov (2000). Here, we reproduce this theorem in detail, give some examples of calculations based on this theorem, and compare the results with measured admittance curves.
机译：谐波导纳是分析周期性电极阵列中表面声波（SAW）的激发和传播的强大工具。特别是，开环和短路系统的色散关系分别由谐波导纳的零点和极点表示。在这里，我们表明还存在严格的逆关系：电极周期系统的谐波导纳可以始终表示为两个行列式的比值，这两个行列式专门用来描述开路和短路系统的本征模。无需求解这些方程即可找到导纳。 Chen和Haus（1985）在模态耦合理论中认识到了激发和传播问题之间存在联系，并且最近被Koskela等人用于模拟表面横波。 （1998年），但后来Biryukov（2000年）才找到了严格的数学证明。在这里，我们详细地再现了该定理，给出了基于该定理的一些计算示例，并将结果与​​测得的导纳曲线进行了比较。

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