Backed or Thin Film Resonator

The backed or thin film thickness extensional resonator has the following geometries;

The arrows represent the sample poling directions. The backing is much thicker than the specimen. The limits in dimension should ensure that the resonance will be free of coupling with other resonance modes.

The resonance observed in the sample admittance is described by the following equation;

By fitting this equation to the observed resonance, the following material properties can be determined;

c^D₃₃, h₃₃, e^S₃₃, c^D_s

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