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Generalized Transmission Line Equations for Bianisotropic Materials

机译:各向异性材料的广义传输线方程

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The generalized transmission line equations for bianisotropic materials are derived in this paper. These equations are obtained in a general orthogonal curvilinear reference system, taking properly into account the metric factors and decomposing the field vectors into two components: a transverse component and a longitudinal one, both with respect to a reference coordinate direction. Such a general formulation is very useful in order to analyze metallic/dielectric uniform bended waveguides. On the other hand, it is very appropriate when studying conformal integrated circuits by using the method of lines (MoL). Finally, the formulation here presented leads to a straightforward derivation of the transmission line equations in the spectral domain when studying conformal integrated antennas. As particular cases of the theory here presented, transmission line equations in orthogonal curvilinear coordinates are also derived for anisotropic, bi-isotropic, and isotropic materials.
机译:本文推导了各向异性材料的广义传输线方程。这些方程式是在一般正交曲线参考系统中获得的,其中适当考虑了度量因子并将场矢量分解为两个分量:相对于参考坐标方向的两个横向分量和一个纵向分量。这样的一般公式对于分析金属/电介质均匀弯曲的波导非常有用。另一方面,当使用线法(MoL)研究保形集成电路时,这是非常合适的。最后,在研究保形集成天线时,此处介绍的公式可直接在频谱域推导传输线方程。作为此处理论的特殊情况,还针对各向异性,双各向同性和各向同性材料导出了正交曲线坐标中的传输线方程。

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