电磁波导辛体系下的周期皱波导分析

基于Hamilton变分原理的电磁波导辛体系自建立以来解决了传统电磁有限元所不能解决的一些问题。本文在介绍这一体系之后，经半解析横向离散及辛正则化，给出了类凝聚和协调质量阵。针对常见的周期皱波导问题，引入等效折射率概念，将皱波导转化为折射率周期变化的多层薄膜，并将其对应为力学分析中的条形域问题。最后给出的数值例子中所计算的通带辛本征值与解析解很接近，表明该理论方法有很高的计算效率。

Analysis on periodic corrugated waveguide under EM waveguide symplectic system

In this paper,the Hamiltonian system of EM waveguide is introduced and the consistent and lumped mass matrices are constructed after symplectic regularization and semi-analytical discretization.The periodic corrugated waveguide is discussed and the equivalent reflective index is applied here and the corrugated waveguide is translated into multiple films with periodic indices,corresponding to the finite strip in applied mechanics.The solutions of pass-band symplectic eigenvalues,greatly approximated to analytical ones,are computed in numerical example,which demonstrates the efficiency of equivalence.