The bandwidth characteristics of ridged circular waveguides

Rong, Yu

doi:10.1002/mop.4650031006

Cited by 4 publications

(4 citation statements)

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“…Equation (13) represents the boundary condition. Equations (12) and (13) are formulated only for one element, then the coefficient matrices E 0 , E 1 , E 2 and M 0 are assembled into overall matrices of the whole structure, as in the standard FEM.…”

Section: Scaled Boundary Finite Element Methods For Waveguide Problemsmentioning

confidence: 99%

“…The transmission characteristics of quadruple‐ridged waveguides have been obtained by using various numerical approaches including the FEM , the magnetic field integral equation method , the multilayer perceptron NN model , the mode‐matching method , the transverse resonance technique , the Ritz–Galerkin approach , the BEM , the multipole theory and so on. It is well accepted that, among those methods, the FEM is undoubtedly the dominant one for modelling waveguide problems at present because of its powerful capability of simulating a large variety of problems with complex structural geometries, complicated material properties and various boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of quadruple corner‐cut ridged elliptical waveguide by scaled boundary finite element method

Liu

Lin

2011

Int J Numerical Modelling

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SUMMARY The scaled boundary FEM (SBFEM) is a novel semi‐analytical approach, which combines the advantages of the FEM and BEM with appealing features of its own. In this paper, the method is applied to analyse the quadruple corner‐cut ridged elliptical waveguide. A quarter of the waveguide is adopted and divided into a few subdomains. SBFEM only discretizes the surface boundaries of the subdomains in the sense of FEM, and no discretization of side‐face boundaries is needed, leading to great flexibility in mesh generation with very few nodes. It transforms the governing PDEs to ODEs of the radial parameter by the variational principle. The radial differential equation is then solved fully analytically without adoption of any numerical scheme, which brings out the inherent advantage for solving a singularity problem. Based on the SBFEM governing equation and introducing the dynamic stiffness of waveguide, a generalised eigenvalue equation with respect to cut‐off wave number is formulated by a continued fraction solution without introducing an internal mesh. The numerical example demonstrates the simplicity, excellent computation accuracy and efficiency of the present SBFEM approach. Influences of corner‐cut ridge dimensions on the cut‐off wave numbers of modes are examined in detail. Therefore, these results provide an extension to the existing design data for ridged waveguides and are considered helpful in practical applications. Copyright © 2011 John Wiley & Sons, Ltd.

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Section: Scaled Boundary Finite Element Methods For Waveguide Problemsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of quadruple corner‐cut ridged elliptical waveguide by scaled boundary finite element method

Liu

Lin

2011

Int J Numerical Modelling

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“…Equation 23is in the same form as the definition of the dynamic stiffness matrix in Equation (19). Denoting ϕ (0) = ϕ.…”

Section: Formulation Of the Generalized Eigenvalue Equation For Wavegmentioning

confidence: 99%

“…Among them, quadruple-ridge waveguides find wide applications, especially in antenna and radar systems [4,5] because of their supporting dual-polarization capabilities. The transmission characteristics of quadruple ridged waveguides have been obtained by employing various numerical approaches including the finite element method (FEM) [13], the magnetic field integral equation (MFIE) method [14], multilayer perceptron neural network model (MLPNN) [15], mode-matching method (MMM) [16] transverse resonance technique [17], Ritz-Galerkin approach [18], boundary element method (BEM) [19], Multipole Theory (MT) [20]. In practical applications, the quadruple ridges in a square waveguide are usually cut at their corners [21] as shown in Figure 1, which contains reentrant corners.…”

Section: Introductionmentioning

confidence: 99%

Analysis of a Quadruple Corner-Cut Ridged/Vane-Loaded Circular Waveguide Using Scaled Boundary Finite Element Method

Li¹,

Lin²

2011

PIER M

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This paper presents an extension of the recently-developed efficient semi-analytical method, namely scaled boundary finite element method (SBFEM) to analyze quadruple corner-cut ridged circular waveguide. Owing to its symmetry, only a quarter of its crosssection needs to be considered. The entire computational domain is divided into several sub-domains. Only the boundaries of each subdomain are discretized with line elements leading to great flexibility in mesh generation, and a variational approach is used to derive the scaled boundary finite element equations. SBFEM solution converges in the finite element sense in the circumferential direction, and more significantly, is analytical in the radial direction. Consequently, singularities around re-entrant corners can be represented exactly and automatically. By introducing the "dynamic stiffness" of waveguide, using the continued fraction solution and introducing auxiliary variables, a generalized eigenvalue equation with respect to wave number is obtained without introducing an internal mesh. Numerical results illustrate the accuracy and efficiency of the method with very few elements and much less consumed time. Influences of corner-cut ridge dimensions on the wave numbers of modes are examined in detail. The single mode bandwidth of the waveguide is also discussed. Therefore, these results provide an extension to the existing design data for ridge waveguide and are considered helpful in practical applications.

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Analysis of quadruple corner-cut ridged square waveguide using a scaled boundary finite element method

Liu¹,

Lin²,

Li³

et al. 2012

Applied Mathematical Modelling

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The bandwidth characteristics of ridged circular waveguides

Cited by 4 publications

References 4 publications

Analysis of quadruple corner‐cut ridged elliptical waveguide by scaled boundary finite element method

Analysis of quadruple corner‐cut ridged elliptical waveguide by scaled boundary finite element method

Analysis of a Quadruple Corner-Cut Ridged/Vane-Loaded Circular Waveguide Using Scaled Boundary Finite Element Method

Analysis of quadruple corner-cut ridged square waveguide using a scaled boundary finite element method

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