Analysis of Frequency Locations of the In-Harmonics in Quartz Surface Acoustic Wave Resonators Using Helmholtz Equations
Analysis of Frequency Locations of the In-Harmonics in Quartz Surface Acoustic Wave Resonators Using Helmholtz Equations
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DOI：
10.1143/jjap.46.1193
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发表时间：
2007-03
影响因子：
1.5
通讯作者：
M. Takagi;S. Kanna;Toshiro Matsumoto
中科院分区：
文献类型：
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作者：
M. Takagi;S. Kanna;Toshiro Matsumoto
防止石英表面声波（SAW）谐振器中的杂散对于保持数字通信系统中的可靠性是重要的，因为它降低了信号的相位噪声质量。对于这样的谐振器，在纵向x坐标和横向y坐标的方向上的非谐波模式，这也是不希望的响应，已被研究。我们表明，谐振器的控制方程给出的亥姆霍兹方程，我们得到相应的谐振频率的方程。我们解决他们理论上的横向模式，和数值上使用的T矩阵的纵向模式。我们得到一个单端口石英SAW谐振器的频率模式图，并获得足够的协议的准确度与涉及二维模式的谐波。此外，我们研究台面结构型SAW谐振器，以确定控制频率安排的方法。
Preventing spuriousness in a quartz surface acoustic wave (SAW) resonator is important for maintaining reliability in digital communication systems because it reduces phase noise quality of signals. For such a resonator, the in-harmonic modes, which are also undesirable responses in the direction of the lengthwise x-coordinate and the transversal y-coordinate, have been studied. We show that the governing equation of the resonator is given by a Helmholtz equation, and we obtain equations corresponding to the resonance frequencies. We solve them theoretically for transverse modes, and numerically using a T matrix for longitudinal modes. We obtain a frequency-mode chart of a one-port quartz SAW resonator and obtain adequate agreement of accuracy with in-harmonics that involve two-dimensional modes. Furthermore, we study mesa-structure-type SAW resonators to determine a method of controlling the frequency arrangement.