Numerical solution of uniform hollow waveguides with boundaries of arbitrary shape

Davies, J.B.; Muilwyk, C.A.

doi:10.1049/piee.1966.0037

Cited by 73 publications

(10 citation statements)

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“…ZI~was then easily calculated. [1], an X-band harmonic generator [2], a UHF phase shifter [3], and an L-band switch [4], [5] have been reported, and parametric amplifiers have been investigated quite thoroughly [6]. The L-band passive limiter described here is a result of further effort to apply…”

Section: B Finite-length Bljiurcationmentioning

confidence: 99%

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Solution of Waveguide Discontinuities by Modal Analysis

Wexler

1967

IEEE Trans. Microwave Theory Techn.

371

141

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A bstract-A general method is presented for amalysis of wavegoide jonctions and diaphragms hy smnrning normal modes of propagation. giving solutions for the resulting scattered modes. Beeause interaction effeets of dominant and higher-order modes between discontkndtiea are allowed, tirdte-length obstructions can be stodied.Solutions are found without auy prior assumption about the total fields existing at the discontirndties and, as a reaott, the formrdation is applicable to a wide range of problems. The tecbrriqne proves to be simple and is ideally suited to computers, involving mainly the solution of sets of sirmdtaneous liiear equations. Thick and thin symmetrical bifurcations of a rectangrdar guide are studied. Forward-scattered mode amplitudes and iopnt admittances are calculated, the computed admittance of the thin bifurcation is compared with well-knowu results, and transverse field patterns on both sides of the junction are plotted, thus showing the accuracy of the matclh.The results of a tirrite-length bifurcation by a thick vane are presented for a range of lengths, the parameters of the equivalent T network being given in each case. For very short lengths, the problem corresponds to an inductive strip across the guide.

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Section: B Finite-length Bljiurcationmentioning

confidence: 99%

“…@i, fii, and yi are the transverse vector functions and propagation constant of the ith mode. If not known explicitly, they can often be derived numerically [5]. Factors ai are the mode coefficients which, along with the reflection factor p of the incident mode, are to be determined.…”

mentioning

confidence: 99%

Solution of Waveguide Discontinuities by Modal Analysis

Wexler

1967

IEEE Trans. Microwave Theory Techn.

371

141

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“…Its application to the modelling of optical waveguides dates from the early eighties, originally evolving from previous finite difference models for metal waveguides (Davies and Muilwyk 1966). The finite difference method discretizes the cross section of the waveguide that is being analysed and it is therefore suitable for modelling inhomogeneous media and complicated boundaries.…”

Section: Finite Difference Methodsmentioning

confidence: 99%

Rigorous analysis of numerical methods: a comparative study

Hada

Rahman

2016

Opt Quant Electron

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This is the accepted version of the paper.This version of the publication may differ from the final published version. Abstract For any photonic device simulation, the accuracy of the numerical solution not only depends on the methods being used but also on the discretization parameters used in that numerical method. In this work, Finite Element Method and Finite Difference Time Domain Method based on Maxwell's equations were used to simulate optical waveguides and directional couplers. As the solution accuracy may also depend on the index contrast used in such photonic devices, the characteristics of low-index contrast Germanium doped Silica and high-index contrast Silicon Nanowire Waveguides were analyzed, evaluated and benchmarked. Numerical results to benchmark Directional Couplers are also reported in this paper. Permanent

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“…Yee and Audeh [5,6] used the point-matching method to determine eigenfrequencies of waveguides with eccentric cross-section. Davies and Muilwyk [7] and Steele [8] used the finite difference method to compute eigenvalues of waveguides with arbitrary cross-section. The Helmholtz equation, which describes the dynamics of waveguides, was solved by Arlett et al [9] and Gass [10] using finite element methods, by Laura [11] and Hine [12] using the Galerkin method, and by Bulley and Davies [13] using the Rayleigh-Ritz method.…”

Section: Introductionmentioning

confidence: 99%