一种基于单负Metamaterials成对结构的带通滤波器的设计

Design of a Band-Pass Filter Based on Single-Negative Metamaterials Pair Structure

提出了一种基于单负Metamaterials对的带通滤波器的设计原理,给出了这种带通滤波器的谐振频率的表达式,对其谐振频率及带宽与其决定因素之间的关系进行了计算,对计算结果进行了讨论,为设计单负Metamaterial对带通滤波器的理论与方法提供了依据。研究结果表明:利用单负Metamaterials对的确可以实现带通滤波器;ENG板的磁导率μ_1、MNG板的介电常数ε_2、电等离子体频率ω_(ep)磁等离子体频率ω_(mp)、两个层的厚度比值a这五个因素决定了这种滤波器的中心频率;两个层的厚度及二者之间的比值决定这种滤波器的带宽。

The design principle of a band-pass filter based on single-negative metamaterials pair structure is proposed in this paper. The expression of the resonance frequency of this kind of band-pass filter is given. The relations among the resonance frequency, band width of the band-pass filter and their deciding factors are calculated and discussed. The results reported here may offer the basis for the design theory and method of single-negative metamateriaI pair band-pass filter. The investigation results show that the band-pass filter made of single-negative metamaterials pair can indeed be achieved. Five factors such as the permeability μ1 of the ENG layer, the permittivity ε2 of the MNG layer, the electric plasma frequency ωmp, the magnetic plasma frequency ωmp, and the thickness ratio a of the two layers will determine the center frequency. The thick-nesses of the two layers and the ratio between them will decide the band width of the band-pass filter. It is hoped that the results reported in this article may offer some references for the researchers and designers who are engaged in the area of metamaterials microwave devices.