Cutoff spaces of elliptical gyromagnetic planar circuits and waveguides using finite elements

Helszajin, J.; Gibson, Arthur

doi:10.1109/22.20022

Cited by 4 publications

(1 citation statement)

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“…Early methods involved scalar formulations, which are inadequate for the analysis of hybrid mode propagation in anisotropic or inhomogeneous waveguides. Vector formulations have been proposed to analyse general waveguide cross-sections, but some vector formulations are plagued by non-physical spurious modes [20,21]. Later vector formulations were introduced with edge elements in order to avoid spurious modes [17][18][19]22,23].…”

Section: Introductionmentioning

confidence: 99%

General gyrotropic finite element formulation with loss

Tio

Gibson

Dillon

et al. 2006

Int. J. Numer. Model.

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SUMMARYA 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.

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