%0 Journal Article
%T Symplectic analysis and dual edge element for electromagnetic waveguide<br>电磁波导的辛分析与对偶棱边元
%A Chen Jie-Fu
%A Zheng Chang-Liang
%A Zhong Wan-Xie
%A <br>陈杰夫
%A 郑长良
%A 钟万勰
%J 物理学报
%D 2006
%I 
%X The governing equations for the electromagnetic waveguide are derived to Hamiltonian system formulation and symplectic geometric form, and transverse electric and magnetic components are treated as dual vectors to each other. By separation of variables, we arrived at a symplectic eigenvalue problem for Hamiltonian operator matrix, which can be solved by adjoint symplectic orthonormal relationship and the symplectic eigenfunction expansion method. A dual edge element is proposed for electromagnetic waveguide with irregular cross section and inhomogeneous loaded materials. Dual edge element can surmount those difficulties related to node-based finite elements in computational electromagnetics, and our numerical examples show that dual edge element has its own merits when compared with regular edge element.
%K electromagnetic waveguide
%K Hamiltonian system
%K dual variables
%K edge element<br>电磁波导
%K Hamilton体系
%K 对偶变量
%K 棱边元
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=0DAE3317C29C6142&yid=37904DC365DD7266&vid=E514EE58E0E50ECF&iid=94C357A881DFC066&sid=D9E727AAB71FE4BA&eid=E7CA8C097E344C0D&journal_id=1000-3290&journal_name=物理学报&referenced_num=1&reference_num=8