A generalized lumped element modeling of electrically and magnetically dual-tunable coupled microstrip filters

Abstract

A generalized lumped element modeling for electrically and magnetically dual-tunable coupled microstrip filters is established through the introduction of the coupling factor which stands for coupling between magnetoelectric layered structure and the input/output microstrip. Then, the lumped element modeling for an existing filter is established and used to predict the electric and magnetic tunability of the filter that manifests as a shift in pass-band. The results have a good consistency with the experimental data and the electromagnetic simulation results in quality and quantity. Then the effects of applied electric field, microstrip's size, substrate's size, and the ferrite-piezoelectric layered structure's size on the filter performance are analyzed by the lumped element modeling. The predicted results show that the performance of the filter can be effectively improved through the increase of microstrip's length and the structure's thickness in a certain range, or the decrease of structure's width and length and the distance between the microstrip and the structure appropriately.

Microwave surface states in 1D periodic stripe

“…1(e)) to explain the appearance of stop bands and surface states. However, validity of this model was already shown [16].…”

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

“…2, the concrete expressions of the electrical components are derived in the following description. Taking the effects of the magnetic anisotropy field H an [52] and demagnetizing field H dem [53] into consideration, when the static magnetic field H i (H ix , H iy , H iz ) in an arbitrary direction is applied to the i-th ME laminate, the expressions of FMR frequency f i of ferrite in the directions of the x, y, z axes can be obtained as follows: [47] …”

“…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.…”