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

Abstract

According to the microwave transmission principle and the mechanism of ferromagnetic resonance, a generalized lumped element model for electrically and magnetically magnetoelectric tunable microwave devices with multi-magnetoelectric laminates is established. This model is introduced the RLC series resonant circuit and an ideal transformer model to characterize the ferromagnetic resonance effect and the coupling between microstrip line and the magnetoelectric laminates. Then, the model is degenerated to an existing microwave resonator, which contains only a single block magnetoelectric laminate, and transmission characteristics results predicted by the lumped element model are compared with the experimental results and the electromagnetic simulated results. It is found that the lumped circuit model can effectively predict the center frequency and bandwidth of the resonator. After that, the lumped element model is used to predict the band characteristics and the magnetic and electric tunability of the filter with multi-magnetoelectric laminates. The results show that the application of multi-magnetoelectric laminates in filters can not only broaden bandwidth, but also control the work frequency band by tuning the external electrostatic and magnetostatic field on the magnetoelectric laminates. Therefore, considering the practicality and versatility of microwave devices with multi-magnetoelectric laminates, the effective lumped element model can provide the theoretical basis for the design of novel magnetoelectric devices.