The work presented in this paper involves the analysis of effective permittivity and permeability of a ferromagnetic microwire grid consisting of an infinite number of ferromagnetic microwires. Analytical solution is obtained through satisfying the tangential boundary conditions at the surface of a reference microwire. Subsequently, the local and average fields and hence, effective permittivity and permeability are obtained within a unit cell. The analysis reported in the literature allows to calculate only ${ϵ}_{zz}$ and ${\mu }_{\varphi \varphi }$ components of the effective permittivity and permeability for the case of $T{M}_z$ polarization with normal incidence. Proposed analysis provides a most generalized solution for the three diagonal elements of the effective permittivity and permeability tensors for the case of arbitrary polarization with arbitrarily incident uniform plane wave. Numerical results are obtained through MATLAB to show the impact of frequency, radius of the microwires, periodicity and applied external magnetization $H_0$ on the effective permittivity and permeability for $T{M}_z$ and $T{E}_z$ polarization. A comparative analysis is also done with the numerical results available in the literature to validate the proposed method of analysis.

本文介绍的工作涉及分析由无限数量的铁磁微线组成的铁磁微线网格的有效介电常数和磁导率。通过满足参考微丝表面的切向边界条件获得解析解。随后，在晶胞内获得局部场和平均场，从而获得有效的介电常数和磁导率。文献中报道的分析只允许计算${\epsilon }_{zz}$ 和 ${\mu }_{\phi \phi }$ 有效介电常数和磁导率的组成部分 $吨{米}_z$垂直入射偏振。对于具有任意入射均匀平面波的任意极化情况，所提出的分析为有效介电常数和磁导率张量的三个对角元素提供了最通用的解决方案。通过 MATLAB 获得数值结果，以显示频率、微丝半径、周期性和施加的外部磁化强度的影响$H_0$ 关于有效介电常数和磁导率 $吨{米}_z$ 和 $吨{乙}_z$极化。还与文献中可用的数值结果进行了比较分析，以验证所提出的分析方法。