In this paper, an equivalent circuit model of swastika-like structure metamaterial is investigated. Mutual inductance between adjacent swastikas ring arrays is taken into consideration in the proposed equivalent circuit model. The analytical expression for calculating the effective permeability of the windmill structure is derived. By the derived expressions, the physical mechanisms of the magnetic resonance frequency versus structural parameters are well explained. Based on the equivalent circuit model, some strategies for the fast and efficient optimization metamaterial structures can be used to achieve a better target performance in the future.

中文翻译：

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超材料结构的等效电路分析

本文研究了十字形结构超材料的等效电路模型。在所提出的等效电路模型中，考虑了相邻的十字形环阵列之间的互感。推导了计算风车结构有效渗透率的解析表达式。通过导出的表达式，可以很好地解释磁共振频率与结构参数的物理机制。基于等效电路模型，可以使用一些快速有效地优化超材料结构的策略来在将来实现更好的目标性能。