1966
DOI: 10.1049/piee.1966.0037
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Numerical solution of uniform hollow waveguides with boundaries of arbitrary shape

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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%
See 1 more Smart Citation
“…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%
“…@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%
“…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%
“…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%