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基于微扰理论的射频表面声波器件三阶非线性分析通用有限元模型

A General FEM Model for Analysis of Third-Order Nonlinearity in RF Surface Acoustic Wave Devices Based on Perturbation Theory.

作者信息

Li Baichuan, Zhang Qiaozhen, Zhao Xiangyong, Zhi Shaotao, Qiu Luyan, Fu Sulei, Wang Weibiao

机构信息

College of Information, Mechanical and Electrical Engineering, Shanghai Normal University, Shanghai 200234, China.

Key Laboratory of Optoelectronic Material and Device, Department of Physics, Shanghai Normal University, Shanghai 200234, China.

出版信息

Micromachines (Basel). 2022 Jul 15;13(7):1116. doi: 10.3390/mi13071116.

DOI:10.3390/mi13071116
PMID:35888932
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9317155/
Abstract

This article presents a general-purpose model that enables efficient and accurate calculation of third-order nonlinear signals in surface acoustic wave (SAW) devices. This model is based on piezoelectric constitutive equations combined with perturbation theory, which can be analyzed by full finite element method (FEM). For validation, third-order harmonic (H3) responses and intermodulation distortions (IMD3) in SAW resonators are simulated, and their calculation results fit well to experimental data in the literature. Then, the generation mechanisms of the third-order nonlinearity in SAW resonators are discussed. The dominant generation mechanisms for different nonlinear signals and the relation between electrode materials and H3 peak magnitude are revealed, which provides an important guideline for further nonlinear suppression.

摘要

本文提出了一种通用模型,该模型能够高效、准确地计算表面声波(SAW)器件中的三阶非线性信号。该模型基于压电本构方程并结合微扰理论,可通过全有限元方法(FEM)进行分析。为进行验证,对SAW谐振器中的三阶谐波(H3)响应和互调失真(IMD3)进行了模拟,其计算结果与文献中的实验数据吻合良好。然后,讨论了SAW谐振器中三阶非线性的产生机制。揭示了不同非线性信号的主要产生机制以及电极材料与H3峰值幅度之间的关系,这为进一步的非线性抑制提供了重要指导。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/23c1/9317155/7313b4eacf29/micromachines-13-01116-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/23c1/9317155/d0a42b2f67c3/micromachines-13-01116-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/23c1/9317155/ae0ce3bfc693/micromachines-13-01116-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/23c1/9317155/c6269bdfb0b9/micromachines-13-01116-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/23c1/9317155/2035ac8104cb/micromachines-13-01116-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/23c1/9317155/28f4c371f5ee/micromachines-13-01116-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/23c1/9317155/b60adea5de0f/micromachines-13-01116-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/23c1/9317155/3eb1e4f725c6/micromachines-13-01116-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/23c1/9317155/7313b4eacf29/micromachines-13-01116-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/23c1/9317155/d0a42b2f67c3/micromachines-13-01116-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/23c1/9317155/ae0ce3bfc693/micromachines-13-01116-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/23c1/9317155/c6269bdfb0b9/micromachines-13-01116-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/23c1/9317155/2035ac8104cb/micromachines-13-01116-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/23c1/9317155/28f4c371f5ee/micromachines-13-01116-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/23c1/9317155/b60adea5de0f/micromachines-13-01116-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/23c1/9317155/3eb1e4f725c6/micromachines-13-01116-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/23c1/9317155/7313b4eacf29/micromachines-13-01116-g008.jpg

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本文引用的文献

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Micromachines (Basel). 2020 Jun 28;11(7):630. doi: 10.3390/mi11070630.
2
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IEEE Trans Ultrason Ferroelectr Freq Control. 2020 Jul;67(7):1479-1484. doi: 10.1109/TUFFC.2020.2969165. Epub 2020 Jan 29.
3
Simulation of Nonlinear Resonance, Amplitude-Frequency, and Harmonic Generation Effects in SAW and BAW Devices.
基于人工神经网络的声表面波谐振器温度相关等效电路建模方法的开发与验证
Micromachines (Basel). 2023 Apr 28;14(5):967. doi: 10.3390/mi14050967.
声表面波(SAW)和体声波(BAW)器件中非线性共振、振幅 - 频率及谐波产生效应的模拟
IEEE Trans Ultrason Ferroelectr Freq Control. 2020 Feb;67(2):422-430. doi: 10.1109/TUFFC.2019.2945522. Epub 2019 Oct 4.
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Electro-thermo-mechanical model for bulk acoustic wave resonators.体声波谐振器的电热机械模型。
IEEE Trans Ultrason Ferroelectr Freq Control. 2013 Nov;60(11):2389-403. doi: 10.1109/TUFFC.2013.6644742.
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Theoretical considerations on influence of circuit impedance on IMD2 measurement of radio-frequency bulk acoustic wave duplexers.关于电路阻抗对射频体声波双工器 IMD2 测量影响的理论思考。
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