A generalized lumped element modeling of electrically and magnetically dual-tunable microwave magnetoelectric resonators

Abstract

According to the microwave transmission principle and the mechanism of ferromagnetic resonance (FMR), a generalized lumped element modeling for magnetoelectric tunable resonators based on the inverse magnetoelectric effect is established taking the impact of equivalent factors of piezoelectric layer into consideration. The lumped element modeling is used to analyze the electrically and magnetically dual-tunable FMR frequency drift of the magnetoelectric tunable resonator; the prediction results have a good agreement with the experimental results and the electromagnetic simulation results in quality and quantity. On this basis, this lumped element modeling is used to predict the effect of the applied electric field, the microstrip's width, the substrate's thickness, and the size of ferrite-piezoelectric layered structure on the ferromagnetic resonance. The results show that with the increase of applied electric field, the values of equivalent resistance R, inductor L, and turns ratio n increase slightly, while the value of C decreases slightly, the FMR frequency fr positively shifts; with the increase of the microstrip's width and substrate's thickness, the values of equivalent resistance R, inductor L, and turns ratio n decrease, while the value of C increases, the FMR bandwidth becomes narrower, and the ferromagnetic resonance attenuation becomes stronger at the same time. When the applied electric field is determined, with the increase of the length or thickness of layered structure, the FMR frequency shifts forward, the FMR peak point decreases first and then increases; with the width of layered structure increases, the FMR frequency of the resonator shifts backward, the FMR peak point decreases first and then increases.

Lumped modeling with circuit elements for nonreciprocal magnetoelectric tunable band-pass filter

“…After Tsai et al [37] established the equivalent circuit model of the double stop-band filter which consisted of two cascaded band-stop filters. In recent years, for the reciprocal dual-tunable microwave magnetoelectric device, Zhou et al [38][39][40][41] treated the voltage of the piezoelectric layer as a magnetic field and established the lumped circuit models of the direct conduction band, the coupled band and T-type magnetoelectric microwave devices, which greatly promoted the application of the equivalent circuit model. However, the above lumped equivalent circuit models focus on the reciprocal twoport devices, and the lumped equivalent circuit model of nonreciprocal frequency band tunable microwave devices is not correlatively researched.…”

Lumped-equivalent circuit model for multi-stage cascaded magnetoelectric dual-tunable bandpass filter

“…Tsai et al [45] established a lumped-equivalent circuit model for a magnetic tunable bandstop filter by using YIG/GGG-GaAs laminate structure. However, for the magnetic field and electric field dual tunable microwave device composed of ME-laminated composite materials, only Zhou et al [46][47][48][49] carried out research of a lumped-equivalent circuit. For instance, they established lumped-equivalent circuit models for the ME-tunable single microstrip resonator [46] and coupling microstrip filter, [47] respectively.…”

“…However, for the magnetic field and electric field dual tunable microwave device composed of ME-laminated composite materials, only Zhou et al [46][47][48][49] carried out research of a lumped-equivalent circuit. For instance, they established lumped-equivalent circuit models for the ME-tunable single microstrip resonator [46] and coupling microstrip filter, [47] respectively. Later, Srinivasan et al [50] pointed out that using multi-block ME laminates to design tunable microwave devices can effectively improve the device bandwidth and overcome shortcomings of the microwave device with one block ME laminate, such as the worse passband effect, narrow bandwidth, and inability to realize the dual-passband and multipassband.…”

A generalized lumped-element equivalent circuit for tunable magnetoelectric microwave devices with multi-magnetoelectric laminates

“…For magnetic tunable microwave devices with the ferrite dielectric, Marcelli et al 29,30 and Tsai et al, 31 respectively, established the lumped equivalent circuit model for MSW (magnetostatic wave) straight edge resonator and magnetic tunable bandstop filter based on the YIG material. On this basis, Zhou et al, 32,33 respectively, established lumped circuit models for the simple single microstrip electromagnetic resonators and the coupling microstrips filter based on a single ME laminate. But, the study on the lumped equivalent circuit for microwave devices with multi-ME laminates is rare.…”