A rigorous full-wave modal analysis based on the method of moments in the spectral domain is presented for line waveguides constituted by two-part impedance planes with arbitrary anisotropic surface impedances. An integral equation is formulated by introducing an auxiliary current sheet on one of the two half planes and extending the impedance boundary condition of the complementary half plane to hold on the entire plane. The equation is then discretized with the method of moments in the spectral domain, by employing exponentially weighted Laguerre polynomials as entire-domain basis functions and performing a Galerkin testing. Numerical results for both bound and leaky line waves are presented and validated against independent results, obtained for isotropic surface impedances with the analytical Sommerfeld-Maliuzhinets method and for the general anisotropic case with a commercial electromagnetic simulator. The proposed approach is computationally efficient, can accommodate the presence of spatial dispersion, and offers physical insight into the modal propagation regimes.

翻译：提出了一种基于谱域矩量法的严格全波模态分析方法，用于分析由任意各向异性表面阻抗的两部分阻抗平面构成的线波导。通过在两半平面之一上引入辅助电流片，并将互补半平面的阻抗边界条件扩展至整个平面，建立了积分方程。随后采用指数加权的拉盖尔多项式作为全域基函数，通过伽辽金检验在谱域中利用矩量法对方程进行离散化。针对有界和泄漏线波导的数值结果进行了验证，并与各向同性表面阻抗下的解析索末菲-马柳任茨方法以及各向异性一般情况下的商用电磁仿真结果进行了对比。所提方法计算效率高，能够处理空间色散，并为模态传播机制提供了物理洞察。