交指电容加载的周期性对称负磁导率人工材料研究

Analysis of symmetrical,periodic negative-permeability metamaterial using interdigital capacitance loading

利用二端口网络理论和弗洛奎定理,详细分析了周期性对称磁谐振人工材料的相对布洛赫磁导率与散射矩阵参数的关系,利用这个关系提取了四种形式的开口谐振环布洛赫磁导率.全波仿真和磁导率数值提取结果表明,在开口谐振环的开口处加载交指电容,磁谐振频率将显著降低.这些成果将为提取周期性人工材料的布洛赫磁导率提供理论依据,同时为小型化磁谐振特异人工材料提供新的设计思路.

The relations between the scattering matrix and relative Bloch permeability of periodic symmetric magnetic resonance metamaterial are investigated in detail by means of network theory and Floquet＇s theorem, and we retrieve the Bloch constitutive parameters for four split ring resonators using the relations. Full wave simulations in conjunction with numerical retrieval algorithms show that when we load the interdigital capacitance at the gap of split ring resonator, the magnetic resonance frequency drastically lowers. Our work provides not only theoretical foundation for the Bloch permeability parameter retrieval from periodic metamaterials, but also a novel design way of miniaturizing maznetic resonancemetamaterial configurations.