Review of finite element methods for microwave and optical waveguides

Rahman, B. M. A.; Fernández, FA; Davies, J.B.

doi:10.1109/5.104219

Cited by 106 publications

(29 citation statements)

References 80 publications

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“…There is a very important issue: the curl-curl equations Rahman and Davies [51,52] [19], Rahman et al [53], and Schroeder and Wolff [55]). The majority of spurious solutions has been found than do its progenitors.…”

Section: ] Kunz and Luebbersmentioning

confidence: 99%

The Origin of Spurious Solutions in Computational Electromagnetics

Jiang

Povinelli

1996

Journal of Computational Physics

159

138

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Section: ] Kunz and Luebbersmentioning

confidence: 99%

The Origin of Spurious Solutions in Computational Electromagnetics

Jiang

Povinelli

1996

Journal of Computational Physics

159

138

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“…While the eigenmodes of resonators with simple and highly symmetric geometries can in some cases be calculated exactly, determining their perturbations presents a significant challenge as the popular computational techniques in electrodynamics, such as the finite difference in time domain 24,25 or finite element method [26][27][28] need excessively large computational resources both in memory and processor usage. 29,30 This is due to the extremely large computational domain in space and time required to model high quality modes.…”

mentioning

confidence: 99%

Resonant state expansion applied to two-dimensional open optical systems

2013

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The resonant state expansion (RSE), a rigorous perturbative method in electrodynamics, is applied to two-dimensional open optical systems. The analytically solvable homogeneous dielectric cylinder is used as unperturbed system, and its Green's function is shown to contain a cut in the complex frequency plane, which is included in the RSE basis. The complex eigenfrequencies of modes are calculated using the RSE for a selection of perturbations which mix unperturbed modes of different orbital momentum, such as half-cylinder, thin-film and thin-wire perturbation, demonstrating the accuracy and convergency of the method. The resonant states for the thin-wire perturbation are shown to reproduce an approximative analytical solution.

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“…The use of such a functional in conjunction with suitable finite element basis functions avoids spurious solutions that sometimes exist in other formulations [11,19,20]. The wave equation is in this instance given without ado by…”

Section: Gyromagnetic Waveguide Functionalmentioning

confidence: 98%

Vector finite element calculations of Faraday rotation in quadruple ridge waveguides with gyromagnetic tiles

McKay

Helszajn

2001

Int J RF and Microwave Comp Aid Eng

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The finite element method has by now been employed to characterize longitudinally magnetized circular, elliptical, and quadruple ridge gyromagnetic waveguides. Special cases have included ferrite rods on the axis of circular, triple, and quadruple ridge waveguides. The purpose of this paper is to employ this technique to investigate Faraday rotation in quadruple ridge waveguide with ferrite tiles on each open face. The topology in question has application in the design of high power variable power dividers in satellite work.

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Review of finite element methods for microwave and optical waveguides

Cited by 106 publications

References 80 publications

The Origin of Spurious Solutions in Computational Electromagnetics

The Origin of Spurious Solutions in Computational Electromagnetics

Resonant state expansion applied to two-dimensional open optical systems

Vector finite element calculations of Faraday rotation in quadruple ridge waveguides with gyromagnetic tiles

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