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Impedance of DC-bias-controlled composite FBARs

机译:直流偏置控制的复合FBAR的阻抗

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摘要

A closed-form analytic formula is derived for composite resonators consisting of two layers of paraelectricphase ferroelectrics. It is used to analyze the properties of these resonators. Under an applied dc electric field, the layers exhibit an induced piezoelectric effect. The signs of the induced piezoelectric coefficients may be changed by changing the polarity of the dc voltages applied to the layers. In the case of a composite in which the layers have similar thicknesses, changing the sign of the piezoelectric coefficient causes a switching between the resonant frequencies of the first and second harmonics. In the case in which one of the layers is substantially thinner, changing the sign of the piezoelectric coefficient causes switching of the resonant frequency of the first harmonic between two values. In both cases, a continuous change in the dc bias voltage causes continuous changes in the resonant frequencies.
机译:推导了由两层顺电相铁电体组成的复合谐振器的闭式解析公式。它用于分析这些谐振器的特性。在施加的直流电场下,这些层表现出感应的压电效应。可以通过改变施加到这些层的直流电压的极性来改变感应压电系数的符号。在其中各层具有相似厚度的复合材料的情况下,改变压电系数的符号导致在第一谐波和第二谐波的谐振频率之间的切换。在其中一个层实质上较薄的情况下,改变压电系数的符号导致一次谐波的谐振频率在两个值之间切换。在这两种情况下,直流偏置电压的连续变化都会引起谐振频率的连续变化。

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