用Marcatili方法分析矩形介质波导阵列

Analysing of rectangular dielectric waveguide array by Marcatili method

将Marcatili近似分析方法在应用范围和处理方法上进行了一些改进 ,并称之为扩展的Marcatili方法。根据Floquet理论和该方法 ,分析了矩形介质波导阵列 ,推得两个一维周期介质结构的耦合特征方程。数值计算结果表明 ,在微扰的情况下 ,特征方程所得的结论与其他方法已取得的结果吻合很好 ,它们都能较准确地反应出通带、阻带和空间谐波之间的相互作用等主要周期特性。

A generalized Marcatili method is developed in this paper. In combination with the Floquet theory, the method is employed to analyze rectangular dielectric waveguide array and to derive the coupled eigenfunction equation of one dimension periodic structure. In the case of a slightly perturbed, the numerical results are in a good with those obtained by the previous different way, and can reflect precisely the periodic features of the pass band, stop band and interactions among space harmonics, and so on.