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General gyrotropic finite element formulation with loss
Author(s) -
Tio L. Y.,
Gibson A. A. P.,
Dillon B. M.,
Davis L. E.,
Abuelma'atti A. M. T.
Publication year - 2006
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.622
Subject(s) - hermitian matrix , lossy compression , finite element method , waveguide , tensor (intrinsic definition) , lossless compression , boundary value problem , physics , terahertz radiation , mathematical analysis , mathematics , optics , quantum mechanics , geometry , algorithm , statistics , data compression , thermodynamics
A four‐transverse‐field formulation for a lossless Hermitian tensor material was introduced previously for an arbitrary direction of applied bias field. This method is extended here to include loss, which is critical in modelling experimental devices and which causes variational functionals for gyrotropic waveguides to become non‐Hermitian. The functional is developed from Maxwell's equations before demonstrating its stationary properties at the boundary value problem solution. Using the finite element method, the functional is implemented and then validated against various waveguide structures. For the first time, the E t – H t formulation has been explicitly applied to lossy gyroelectric waveguide cross‐sections. This method has important implications for the study and design of future phase shift and control components used in sub‐millimeter wave and terahertz systems. Copyright © 2006 John Wiley & Sons, Ltd.