Abstract
Based on mode coupling theory and the fundamental energy ratio definition of the electromechanical coupling coefficient, a unified formula has been derived to calculate the effective electromechanical coupling coefficient keff of 0.70Pb(Mg1∕3Nb2∕3)O3–0.30PbTiO3 (PMN-30%PT) ferroelectric single crystal cylindrical resonator with arbitrary aspect ratio. The keff dependence on resonator aspect ratio of PMN-30%PT crystal shows similar characteristics as that of the conventional piezoelectric ceramics Pb(ZrxTi1−x)O3 (PZT). However, compared to PZT-5 ceramics, PMN-30%PT single crystal has a smaller aspect ratio where the keff changes dramatically and there is also a stronger coupling between thickness and radial modes causing much larger mode splitting.
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