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钟万勰.周期电磁波导的能带辛分析[J].计算力学学报,2001,18(4):379~387
周期电磁波导的能带辛分析
Symplectic energy band analysis for periodical electro-magnetic wave guide
  修订日期:2001-07-06
DOI:10.7511/jslx20014077
中文关键词:  电磁波 周期波导 辛分析 能带分析 对偶向量 能量原理 区段合并算法 电磁刚度阵 Hamilton体系
英文关键词:electro-magnetic,periodical wave-guide,symplectic,band analysis
基金项目:国家重点基础研究基金 ( G1 9990 32 80 5 ),国家自然科学基金 ( 1 9732 0 2 0 )资助项目
钟万勰
大连理工大学工程力学研究所 大连116023
摘要点击次数: 1582
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中文摘要:
      根据电磁波导的Hamilton体系,辛分析可用于任意各向异性材料,而且便于处理不同区段的界面条件。横向的电场和磁场构成了对偶向量。每段波导可以引入其两端的电磁刚度矩阵。对等截面的平面波导给出了通带和禁带解,又给出了截面突变连接的算法。运用能量原理的区段合并算法以生成波导基本周期的两端电磁刚度阵。此后,运用辛本征解就可对周期结构作出能带分析。
英文摘要:
      Based on the Hamilton system and symplectic geometry for electro-magnetic wave-guide, the interface connection between wave-guide segments is treated. The dual vectors are composed with the electric/magnetic components along the transverse cross section of wave-guide. The electro-magnetic stiffness matrix of both ends for each wave-guide segment is introduced. The pass-band and stop-band solutions of plane wave-guide and then the connection between segments are solved. The electro-magnetic stiffness matrix of a typical segment in periodical wave-guide is generated by means of the combination algorithm of contiguous segments based on energy variational principle. Afterwards, the eigen-solution method can be used to the band analysis for periodical wave-guide.
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