介质波导阵列的横向传播特性分析

The Analysis of Transversal Propagation in Dielectric Waveguide Array

根据已提出的有关二维周期介质严格分析理论 ,针对介质波导阵列进行了大量的数值计算。对介质波导阵列中波的横向传播作了详细分析。首先 ,在给定纵向波矢量 (kz)的情况下 ,分析了在不同工作频率时的横向波矢量间布里渊区色散特性 ,对空间谐波的相互作用情况也进行了研究。其次 ,在给定工作频率的情况下 ,分析了不同纵向波矢量和不同调制系数时的横向波矢量间布里渊区色散特性。由于空间谐波的相互作用随纵向波数或调制系数的增大而增强 ,导致阻带能明显地表现出来 。

Based on the established rigorous theory for two dimensional periodic (2DP) medium, a great amount of numerical results for dielectric waveguide array (DWA) with piecewise uniform dielectric constant distribution were presented. Transversal propagation in DWA was analyzed in detail in this paper. Firstly, when the longitudinal wave vector ( k z ) is given. Brillouin dispersion relations between transversal wave vectors were analyzed in various frequencies, and the interactions between space harmonics were also studied. Secondly, when the operation frequency is given, the dispersion relation between transverse wave vectors were analyzed with various longitudinal wave vector or modulation coefficients. Because of interactions between space harmonics getting stronger significantly with k z or modulation coefficients increasing, stop bands can be distinctly viewed and thus transveral propagation in DWA could be comprehensively analyzed.