基于TE10矩形波导的异向介质有效本构参数提取算法

提出了一种基于TE₁₀矩形波导的异向介质有效本构参数提取算法,利用该算法提取了对称多元胞铁氧体和金属线阵复合型异向介质的有效介电常数ε和有效磁导率μ.文中着重探讨了多元胞异向介质传播常数β实部的分枝选取问题,借鉴了测量理论中测量值和理论真值之间的关系,将单元胞的β提取值作为多元胞β的测量值,进而确定多元胞β的真实值;由于在多元胞异向介质各元胞之间存在耦合效应,使电磁波主要以周期性Bloch波的形式存在 关键词： 10矩形波导')" href="#">TE₁₀矩形波导 异向介质 有效本构参数提取 铁氧体和金属线阵异向介质

Extraction algorithm for retrieving the effective constitutive parameters of metamaterials based on TE10 rectangular waveguide

A novel retrieval method of the effective constitutive parameters of metamaterials based on TE₁₀ rectangular waveguide is proposed, which is adopted to extract effective relative permittivity ε and permeability μ for the composite ferrite and wire array metamaterial in multiple symmetrical unit cell configuration. Much attention has been paid to choose the correct branch of the real part of the propagation constant β for the metamaterial with multiple unit cells, and in terms of the relationship between the measured values and theoretical values in the measurement theory, β values in the case of multiple unit cells are determined by taking the extracted β values for a single unit cell as the measured values for the multiple unit cells case. Owing to the coupling effect between the unit cells of the metamaterial with multiple unit cells, the electromagnetic wave mainly behaves as the periodic Bloch wave, which is usually negligible for a single unit cell, so the extracted effective constitutive parameters for a single unit cell generally can not be assigned as those for the metamaterial with multiple unit cells directly. However, β values for a single unit cell is generally prone to be extracted, which can be the first step to extract the β values in multiple unit cells case. It is pointed out that the extracted effective constitutive parameters can be physically meaningful only if attenuation coefficients of higher Bloch wave modes are larger than that of the fundamental Bloch mode in the periodic metamaterial, and under this condition, higher Bloch wave modes will get further attenuated with increase of the unit cell number, leaving only the fundamental mode propagation, which makes the extracted ε and μ more stable and convergent.