The Effect of Electrodes on The Higher-Order Overtone Vibration Modes of Quartz Crystal Plates
作者单位：TXC CorporationNingbo 315800P.R.China
会议名称：《第二届全国压电和声波理论及器件技术研讨会》
会议日期：2006年
学科分类：080904[工学-电磁场与微波技术] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学]
摘 要：The effect of metal electrodes on the high frequency vibrations of plates has to be carefully considered in the analysis and design of quartz crystal *** studies have been done in the analysis of various electrode configurations,including the symmetric,asymmetric,and layered structures to predict the exact frequency and mode shapes which are important in the estimation of resonator properties and the optimal design parameters for the fundamental thickness-shear vibration *** practical experiences,it is evident that the electrode structure has much stronger effects on the overtone vibrations of quartz crystal plates and resonators,but the analytical solutions based on even simple analytical model have not been examined in earlier *** this paper,we start from the usual ideal model of an AT-cut quartz crystal plate covered by metal electrodes,and frequency equations, which have been obtained in earlier studies with and without the consideration of piezoelectric effect,are evaluated with known parameters to observe the changes of the vibration frequencies of different overtone modes and *** is clear that the frequency change is much large for overtone modes in comparison to the familiar fundamental vibrations of most quartz crystal *** formulation can also be extended for the consideration of the thermal effect of electrodes for the study of the frequency-temperature relation for the higher-order overtone *** earlier study on the layered metal electrodes can also be extended to the higher-order overtones for the optimal determination of design *** is expected that by solving the familiar equations for frequency under the complication of electrodes at higher-order overtone frequencies,we should be able to refine and establish a procedure for the analysis and design which has been overlooked due to the complexity of the problem and lack of demands,which is now being promoted by the increasing frequency