In this paper, we carry out the calculation of eigenvalues including cutoff wavenumbers and propagation constants in rectangular waveguides filled with inhomogeneous double-negative (DNG) dielectrics whose permittivity varies along one transverse direction by using a semianalytical approach. Eigenequations for waveguides containing arbitrary continuously or discontinuously varying dielectrics are formulated by the semianalytical approach. We examine several representative inhomogeneous DNG dielectric distributions. When comparing these results with those of waveguides containing inhomogeneous double-positive (DPS) dielectrics with same distribution profiles, we find the dielectric and geometric dependence of the cutoff wavenumbers to be quite different. Moreover, the dispersion signs of the TE/LSE modes might be changed by partially filling the waveguides with DNG dielectrics, which is caused by the opposite directions of energy transport in DPS and DNG dielectrics.

中文翻译：

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非均匀双负电介质填充矩形波导的半解析传播特性

在本文中，我们使用半解析方法计算了矩形波导中的特征值，包括截止波数和传播常数，矩形波导中填充了非均匀双负 (DNG) 电介质，其介电常数沿一个横向方向变化。包含任意连续或不连续变化的电介质的波导的特征方程由半解析方法制定。我们检查了几个有代表性的非均匀 DNG 介电分布。当将这些结果与包含具有相同分布分布的非均匀双正 (DPS) 电介质的波导的结果进行比较时，我们发现截止波数的介电和几何相关性非常不同。而且，