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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >The electrostatic problem for the SAW interdigital transducers in an external electric field. I. A general solution for a limited number of electrodes
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The electrostatic problem for the SAW interdigital transducers in an external electric field. I. A general solution for a limited number of electrodes

机译：SAW叉指换能器在外部电场中的静电问题。一，有限数量电极的一般解决方案

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摘要

An exact solution for finding the surface charge and electric field distributions in interdigital transducers (IDTs) with a limited number N of electrodes is given. It is based on the Keldysh-Sedov solution to the mixed boundary problem of the analytic function theory. The IDT electrodes are placed on the plane boundary between two anisotropic dielectric media. The external electric field may arbitrarily vary along the structure. The solution contains N constants which may be found from the electrodes' connection conditions. For determining these constants a linear set of algebraic equations is obtained. The coefficients of this system are written in explicit form. The capacitance coefficients for a system of electrodes of different widths are obtained. For illustration purposes systems with one and two electrodes are considered in greater detail. In these cases the external electric field is assumed to vary harmonically along the structure with an arbitrary wavenumber. For one electrode the Fourier transform of the charge distribution is obtained in terms of the Bessel functions. For two electrodes of different widths a simple expression for the capacitance is found. The charge and electric field distributions are represented graphically for several wavenumbers and geometrical sizes of the electrode system. Section I contains a survey, including Russian literature, which is not well known in the west.
机译：给出了在电极数量有限的叉指换能器（IDT）中查找表面电荷和电场分布的精确解决方案。它基于解析函数理论的混合边界问题的Keldysh-Sedov解。 IDT电极放置在两个各向异性介电介质之间的平面边界上。外部电场可沿结构任意变化。该溶液包含N个常数，可以从电极的连接条件中找到。为了确定这些常数，获得了一组线性的代数方程。该系统的系数以显式形式编写。获得了不同宽度的电极系统的电容系数。为了说明的目的，更详细地考虑具有一个和两个电极的系统。在这些情况下，假定外部电场沿结构以任意波数谐波变化。对于一个电极，根据贝塞尔函数获得了电荷分布的傅立叶变换。对于两个不同宽度的电极，可以找到一个简单的电容表达式。用图形表示电极系统的几个波数和几何尺寸的电荷和电场分布。第一节包含了一项调查，其中包括在西方并不为人所知的俄罗斯文学。

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