Electromagnetic Scattering at the Waveguide Step between Equilateral Triangular Waveguides
The analysis of the electromagnetic scattering at discontinuities between equilateral triangular waveguides is studied. The complete electromagnetic solution is derived using analytical closed form expressions for the mode spectrum of the equilateral waveguide. The mathematical formulation of the el...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/2974675 |
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| author | Ana Morán-López Juan Córcoles Jorge A. Ruiz-Cruz José R. Montejo-Garai Jesús M. Rebollar |
| author_facet | Ana Morán-López Juan Córcoles Jorge A. Ruiz-Cruz José R. Montejo-Garai Jesús M. Rebollar |
| author_sort | Ana Morán-López |
| collection | DOAJ |
| description | The analysis of the electromagnetic scattering at discontinuities between equilateral triangular waveguides is studied. The complete electromagnetic solution is derived using analytical closed form expressions for the mode spectrum of the equilateral waveguide. The mathematical formulation of the electromagnetic scattering problem is based on the quasi-analytical Mode-Matching method. This method benefits from the electromagnetic field division into symmetries as well as from the plane wave formulation presented for the expressions involved. The unification of the surface integrals used in the method thanks to the plane wave formulation is revealed, leading to expressions that are very well suited for its implementation in an electromagnetic analysis and design code. The obtained results for some cases of interest (building blocks for microwave components for communication systems) are verified using other numerical methods included in a commercial software package, showing the potential of the presented approach based on quasi-analytic expressions. |
| format | Article |
| id | doaj-art-a8d5897a0f784a23b96e95b6a0dd4c3f |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-a8d5897a0f784a23b96e95b6a0dd4c3f2025-08-20T02:20:44ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/29746752974675Electromagnetic Scattering at the Waveguide Step between Equilateral Triangular WaveguidesAna Morán-López0Juan Córcoles1Jorge A. Ruiz-Cruz2José R. Montejo-Garai3Jesús M. Rebollar4Escuela Politécnica Superior, Universidad Autónoma de Madrid, C/Francisco Tomás y Valiente 11, 28049 Madrid, SpainEscuela Politécnica Superior, Universidad Autónoma de Madrid, C/Francisco Tomás y Valiente 11, 28049 Madrid, SpainEscuela Politécnica Superior, Universidad Autónoma de Madrid, C/Francisco Tomás y Valiente 11, 28049 Madrid, SpainETSI de Telecomunicación, Universidad Politécnica de Madrid, Avenida Complutense 30, 28040 Madrid, SpainETSI de Telecomunicación, Universidad Politécnica de Madrid, Avenida Complutense 30, 28040 Madrid, SpainThe analysis of the electromagnetic scattering at discontinuities between equilateral triangular waveguides is studied. The complete electromagnetic solution is derived using analytical closed form expressions for the mode spectrum of the equilateral waveguide. The mathematical formulation of the electromagnetic scattering problem is based on the quasi-analytical Mode-Matching method. This method benefits from the electromagnetic field division into symmetries as well as from the plane wave formulation presented for the expressions involved. The unification of the surface integrals used in the method thanks to the plane wave formulation is revealed, leading to expressions that are very well suited for its implementation in an electromagnetic analysis and design code. The obtained results for some cases of interest (building blocks for microwave components for communication systems) are verified using other numerical methods included in a commercial software package, showing the potential of the presented approach based on quasi-analytic expressions.http://dx.doi.org/10.1155/2016/2974675 |
| spellingShingle | Ana Morán-López Juan Córcoles Jorge A. Ruiz-Cruz José R. Montejo-Garai Jesús M. Rebollar Electromagnetic Scattering at the Waveguide Step between Equilateral Triangular Waveguides Advances in Mathematical Physics |
| title | Electromagnetic Scattering at the Waveguide Step between Equilateral Triangular Waveguides |
| title_full | Electromagnetic Scattering at the Waveguide Step between Equilateral Triangular Waveguides |
| title_fullStr | Electromagnetic Scattering at the Waveguide Step between Equilateral Triangular Waveguides |
| title_full_unstemmed | Electromagnetic Scattering at the Waveguide Step between Equilateral Triangular Waveguides |
| title_short | Electromagnetic Scattering at the Waveguide Step between Equilateral Triangular Waveguides |
| title_sort | electromagnetic scattering at the waveguide step between equilateral triangular waveguides |
| url | http://dx.doi.org/10.1155/2016/2974675 |
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