We present the first data and theory for the bias magnetic field dependence of magnetoelectric coupling in the electromechanical resonance (EMR) region for ferromagnetic-piezoelectric heterostructures. Trilayers of Permendur, a Co-Fe-V alloy, and lead zirconate titanate were studied. Measurements of the magnetoelectric (ME) voltage coefficient αE indicate a strong ME coupling in the low-frequency range and a giant ME effect due to EMR at 200--3000.3em0exkHz for radial modes and at ~2.70.3em0exMHz for thickness modes. Data were obtained for the bias field H dependence of two key parameters, the EMR frequency fᵣ and the ME coefficient αE,R at resonance. With increasing H, an increase in fᵣ and a rapid rise and fall in αE,R are measured. In our model we consider two mechanisms for the magnetic field influence on ME interactions: (i) a shift in the EMR frequency due to changes in compliance coefficients (ΔE effect) and (ii) variation in the piezomagnetic coefficient that manifests as a change in αE,R. Theoretical profiles of αE vs frequency and estimates of frequency shift based on the ΔE effect are in excellent agreement with the data.
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Srinivasan et al. (2005) studied this question.
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