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| Symplectic energy band analysis for periodical electro-magnetic wave guide |
| Revised:July 06, 2001 |
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| DOI：10.7511/jslx20014077 |
| KeyWord:electro-magnetic,periodical wave-guide,symplectic,band analysis |
| ZHONG Wan-xie |
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| Abstract: |
| 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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