摘要
基于H am ilton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。
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.
出处
《计算力学学报》
EI
CAS
CSCD
北大核心
2005年第5期534-540,共7页
Chinese Journal of Computational Mechanics
基金
国家自然科学基金重点基金(10132010)
国家自然科学基金(10102011)资助项目
关键词
电磁波导辛体系
周期皱波导
等效折射率
辛正则化
辛本征值
EM waveguide symplectic system
periodic corrugated waveguide
equivalent reflectiveindex
symplectic regularization
symplectic eigenvalues
