论文标题
各向异性频率选择性表面和元面的简单等效电路方法
A Simple Equivalent Circuit Approach for Anisotropic Frequency Selective Surfaces and Metasurfaces
论文作者
论文摘要
介绍了包含各向异性元素的频率选择表面（FSS）的等效电路模型。最初用任意方位角入口角度模拟周期表面，并得出其表面阻抗矩阵。阻抗矩阵随后以晶体轴上的角度$φ^{rot} $旋转，$χ_1$，$χ_2$，从而无效，从而无效。旋转角$φ^{rot} $是根据光谱定理得出的，使用最初提取的矩阵的术语。旋转矩阵的对角项，即阻碍$ z_ {χ_1} $和$ z_ {χ_2} $，最终与简单的LC网络匹配。各向异性元件的电路模型表示可以用于分析通过通用方位角旋转的各向异性FSSS。该方法提供了仅具有五个参数的通用FSS元素的紧凑描述：LC网络$ L_ {χ_1} $，$ C_ {χ_1} $，$ l_ {χ_2} $，$ C_ {χ_2} $，$ C_ {χ_2} $和旋转角$ $ c_ {c_ {χ_2} $。电路模型可以考虑到接近FSS的介电基板或FSS周期性的变化而无需其他计算工作。当量电路模型最终应用于两个基于各向异性元面的传输偏振转换的设计。
An equivalent circuit model for Frequency Selective Surfaces (FSS) comprising anisotropic elements is presented. The periodic surface is initially simulated with an arbitrary azimuthal incidence angle and its surface impedance matrix is derived. The impedance matrix is subsequently rotated by an angle $φ^{rot}$ on the crystal axes $χ_1$, $χ_2$ thus nullifying its extra diagonal terms. The rotation angle $φ^{rot}$ is derived according to the spectral theorem by using the terms of the matrix initially extracted. The diagonal terms of the rotated matrix, that is, the impedances $Z_{χ_1}$ and $Z_{χ_2}$, are finally matched with simple LC networks. The circuit model representation of the anisotropic element can be used to analyse anisotropic FSSs rotated by a generic azimuth angle. The methodology provides a compact description of generic FSS elements with only five parameters: the lumped parameters of the LC network $L_{χ_1}$, $C_{χ_1}$, $L_{χ_2}$, $C_{χ_2}$ and the rotation angle $φ^{rot}$. The circuit model can take into account the presence of dielectric substrates close to the FSS or a variation of the FSS periodicity without additional computational efforts. The equivalent circuit model is finally applied to the design of two transmitting polarization converts based on anisotropic metasurfaces.
