Symplectic analysis for periodical electro-magnetic waveguides

Symplectic analysis is introduced into electro-magnetic waveguide theory, by using Hamiltonian system theory in which the transverse electric and magnetic field vectors are the dual vectors. The method can accommodate arbitrary anisotropic material and includes the interface conditions between adjac...

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Vydáno v:Journal of sound and vibration Ročník 267; číslo 2; s. 227 - 244
Hlavní autoři: Zhong, W.X., Williams, F.W., Leung, A.Y.T.
Médium: Journal Article
Jazyk:angličtina
Vydáno: London Elsevier Ltd 16.10.2003
Elsevier
Témata:
Applied classical electromagnetism
Electromagnetic wave propagation, radiowave propagation
Electromagnetism; electron and ion optics
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Band matrix
Integrated optics
Stiffness matrix
Electromagnetism
Waveguides
Variational calculus
Hamiltonian system
Modelling
Eigenvalue problem
Maxwell equations
Periodic structures
ISSN:0022-460X, 1095-8568
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Popis
Shrnutí:Symplectic analysis is introduced into electro-magnetic waveguide theory, by using Hamiltonian system theory in which the transverse electric and magnetic field vectors are the dual vectors. The method can accommodate arbitrary anisotropic material and includes the interface conditions between adjacent segments of the waveguide. An electro-magnetic stiffness matrix is introduced which relates to the two ends of each segment of the waveguide. Both the pass- and stop-band stiffness matrices for plane waveguides with constant cross-section are given analytically and also a transformation matrix is given to permit abrupt changes of cross-section to occur. The variational principle is applied to obtain the segment combination algorithm needed to generate the electro-magnetic stiffness matrix related to the two ends of the fundamental periodical segment. Then the Wittrick–Williams algorithm is used to extract the eigenvalues. Thereafter, an energy band analysis is performed for a periodical waveguide, e.g., a grating, by using the symplectic eigensolutions.
Bibliografie:ObjectType-Article-2
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ISSN:0022-460X
1095-8568
DOI:10.1016/S0022-460X(02)01451-7