2006
DOI: 10.1163/156939306776143442
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Algebraic Function Approximation in Eigenvalue Problems of Lossless Metallic Waveguides: Examples

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Cited by 10 publications
(8 citation statements)
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“…The method is called a semi-analytical method because of the necessity of truncating the infinite summation of the series at a point, while it uses known analytic solutions of the empty waveguide. This method is also called the Galerkin version of the MoM [22,31,55] because the expansion eigenfunctions (basis functions) and the test functions are equal to each other.…”
Section: Methods Of Momentmentioning
confidence: 99%
“…The method is called a semi-analytical method because of the necessity of truncating the infinite summation of the series at a point, while it uses known analytic solutions of the empty waveguide. This method is also called the Galerkin version of the MoM [22,31,55] because the expansion eigenfunctions (basis functions) and the test functions are equal to each other.…”
Section: Methods Of Momentmentioning
confidence: 99%
“…The basic approach to finding the cold dispersion relation of the structure as shown in Fig. 3 (without electron beam) consists in finding a system of simultaneous equations in the Fourier components of field constants [58,62,[70][71][72][73][74][75][76]. For this purpose, we follow the usual approach of substituting the field expressions in the relevant boundary conditions of the structure, and find the condition for non-trivial solution.…”
Section: Cold Dispersion Relationmentioning
confidence: 99%
“…The method of algebraic function approximation in eigenvalue problems of closed lossless waveguides has been illustrated by means of two examples [8]. Numerical computation results have been presented for two physical problems.…”
Section: Introductionmentioning
confidence: 99%