Energy band analysis for periodical wave-guides
Author(s)
Author(s)
Zhong, W. X.
Williams, F. W.
Date Issued
2003
Publisher
A.A. Balkema
Related Publication(s)
Proceedings of the Ninth International Conference on Enhancement and Promotion of Computational Methods in Engineering and Science (EPMESC IX)
Start page
171
End page
178
Abstract
The Hamiltonian system method is applied to electro-magnetic wave-guides to permit symplectic analysis to be applied to arbitrary anisotropic materials and to permit the interface conditions between segments of a periodical wave-guide to be treated. The transverse electric and magnetic fields compose the dual vectors. An electro-magnetic stiffness matrix is introduced which relates to the electric field vectors at both its ends. The pass- and stop-band solutions are given for a constant cross-section segment of a plane wave-guide and then the equations needed to combine two segments with different cross-sections are derived. The energy variational principle is applied to electro-magnetic stiffness matrix of a fundamental period of the wave-guide, which is computed by combining segments recursively until the shortest repeating length of the wave-guide has been assembled. Finally, the pass-band eigenvalues of the energy band are found by using the Wittrick-Williams algorithm throughout the calculations, starting with the combination of segments step.
SFU Affiliated Publication
No
Availability at SFU Library
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