Resonance Magnetoelectric Effect in Multilayer Composites

Microwave magnetoelectric devices

“…An [2,3] The finite lateral dimensions of the ferrite film, metallization on the ferroelectric surfaces, and the anisotropy fields in the ferrite may result in slight deviations from the theoretical estimates; however, FMR frequencies were shown to be in good agreement with measurements. The corresponding ME coefficients YIG/PZT structure extracted from magnetostriction-induced magnetic field shifts are α1 = δH1/δE ≈ 0.58 Oe·cm/kV and α2 = δH2/δE ≈ 0.88 Oe·cm/kV (δH is the ferromagnetic resonance shift due to an applied electric field δE), for magnetic-bias field applied parallel and perpendicular to the sample plane, respectively, which are comparable to 1-4 Oe·cm/kV measured in similar YIG/ PZT bilayers [4].…”

Microwave and millimeter-wave multiferroic devices

“…With the application of E ¼ 300 kV/cm, a downshift in the resonance field occurs, since E essentially gives rise to an internal magnetic field. The condition for FMR, the resonance frequency u 0 for H perpendicular to the plane of a ferriteeferroelectric disk, is given by (Bichurin et al, 2001). where g is the gyromagnetic ratio, H A is the anisotropy field, and 4pM is the saturation induction. For an electric field E applied to a ferrite/piezoelectric bilayer, the piezoelectric deformation is equivalent to the effect of magnetostriction on FMR, leading to an internal magnetic field dH E ¼ AE, where A is the ME coupling constant.…”

“…A general theory, applicable to either bulk or layered composites subjected to DC and AC magnetic fields and a static electric field E, was considered in Bichurin et al (2001) and Bichurin et al (2002) and applied to layered lithium ferrite (LFO)ePZT, NFOePZT, and YIGePZT. The theoretical FMR profiles in terms of the real part of the magnetic susceptibility c 0 versus H for E ¼ 0 and 300 kV/cm are shown in Figure 9.1.…”

“…Theoretical models of the effects are provided in Bichurin et al (2001) and Bichurin et al (2002). In general, the composite susceptibility under an applied magnetic field H and electric field E and the order of parameters are related by the following equations:…”

Low frequency and microwave magnetoelectric effects in thick film heterostructures of lithium zinc ferrite and lead zirconate titanate

“…In our theoretical model for high frequency ME effects in bilayer composites, we assumed a bilayer in which the poling axis of the piezoelectric phase coincides with [100] axis of the magnetostrictive phase [9,15] (3) where A 1 is a magnetoelectric constant, M 0 is a saturation magnetization and λ 100 is the magnetostriction constant. For lithium ferrite-PZT, using the values λ 100 = 23⋅10 -6 ; 4πM 0 =3600 G, we obtain the ME constant A 1 equals 0.2 Oe/(kV/cm).…”