Exact Cutoff Wavenumbers of Composite Elliptical Metallic Waveguides

Zouros, Grigorios P.

doi:10.1109/tmtt.2013.2274433

Cited by 8 publications

(26 citation statements)

References 17 publications

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“…The validity of our analytical formulas is verified by comparison to the independent general exact solution obtained from [8]. In Fig.…”

Section: Numerical Resultsmentioning

confidence: 56%

“…It is obvious that once the coefficients are known, the cutoff wavenumbers are obtained almost instantly, for each small value of , while numerical techniques require repetition, from the beginning, for each different . The correctness of our results is performed by comparison to the independent general exact solution [8].…”

Section: Introductionmentioning

confidence: 97%

“…In this work, we calculate the cutoff wavenumbers of TM and TE modes of any order using simple algebraic expressions. Although the cutoff wavenumbers in this case can be obtained from [8], the present technique is superior in efficiency and very accurate. The geometries of the two waveguides studied are depicted in Figs.…”

Section: Introductionmentioning

confidence: 99%

“…In this case, one can successfully retrieve the correct cutoff wavenumbers by approximating this deformation with an ellipse. Many different numerical methods have been applied to obtain the cutoff wavenumbers in single or composite elliptical metallic waveguides, like the ones reported in [1]- [8]. In [1], the cutoff wavelengths were calculated by finding the zeros of the modified Mathieu functions numerically.…”

Section: Introductionmentioning

confidence: 99%

“…A polynomial approximation was applied by the authors in [7] to represent the elliptical boundary of the waveguide and thus to study its propagation characteristics. The general exact solution for the evaluation of the cutoff wavenumbers in eccentric elliptical waveguides was presented in [8] using Mathieu functions and their addition theorem. It is apparent that the calculation of the cutoff wavenumbers in waveguides having at least one elliptical boundary needs the introduction of Mathieu functions and their numerical evaluation, or yet another numerical technique like the method of moments or the method of fundamental solutions.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Efficient and Accurate Calculation of the Cutoff Wavenumbers of Coaxial Elliptical-Circular and Circular-Elliptical Metallic Waveguides

Kolezas

Zouros

Roumeliotis

2014

IEEE Trans. Microwave Theory Techn.

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In this paper, we propose an efficient method for the calculation of the cutoff wavenumbers of coaxial elliptical-circular and circular-elliptical metallic waveguides. The cutoff wavenumbers are obtained through closed-form expressions making the evaluation efficient, and moreover, very accurate even for large values of the eccentricity of the elliptical boundary. The resulting formulas are free of Mathieu functions, including only simple algebraic expressions with Bessel functions, and are valid for every different value of the indices and , corresponding to every higher order or mode. The validation of the method is performed by comparing to the general exact solution. The efficiency and accuracy of our method is presented by illustrative examples. Numerical results are given for the cutoff wavenumbers of various higher order modes.

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“…The validity of our analytical formulas is verified by comparison to the independent general exact solution obtained from [8]. In Fig.…”

Section: Numerical Resultsmentioning

confidence: 56%

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%