Advanced Modeling of Circular Waveguide-Based Devices With Smooth Profiles Using Transformation Optics and Hierarchical Model Reduction
A powerful and accurate analysis method for the full-wave analysis of circular waveguide-based devices is introduced. The method uses transformation optics, hierarchical model reduction, and the finite element method. First, transformation optics is applied to map the original device in a cylinder f...
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| Format: | Article |
| Language: | English |
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IEEE
2024-01-01
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| Series: | IEEE Journal of Microwaves |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10706872/ |
| _version_ | 1826898690864840704 |
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| author | Giacomo Giannetti Stefano Selleri Gian Guido Gentili Gines Garcia-Contreras Juan Corcoles Jorge A. Ruiz-Cruz |
| author_facet | Giacomo Giannetti Stefano Selleri Gian Guido Gentili Gines Garcia-Contreras Juan Corcoles Jorge A. Ruiz-Cruz |
| author_sort | Giacomo Giannetti |
| collection | DOAJ |
| description | A powerful and accurate analysis method for the full-wave analysis of circular waveguide-based devices is introduced. The method uses transformation optics, hierarchical model reduction, and the finite element method. First, transformation optics is applied to map the original device in a cylinder filled with an anisotropic and inhomogeneous medium. Second, exploiting a hierarchical model reduction approach, the electric field is expanded in terms of the modes of the circular waveguide in the transverse plane, while the longitudinal dependence of the fields is tackled by a 1D finite element method. The BCs are fulfilled rigorously. The 3D integrals arising from the discretization of the vector electric field equation are separable, thus allowing for solving radial and longitudinal integrals once and for all, while the angular integrals are the only ones to be computed for each specific device geometry. The limitations of the method are: (a) the input and output waveguides must be circular waveguides, even with different radii; (b) the device lateral surface must be expressed as a strictly-positive single-valued function in cylindrical coordinates; (c) the device profile must be smooth. The method is verified against full-wave simulations from commercial software and measurements available in the literature, showing good agreement and efficiency. |
| first_indexed | 2025-02-17T06:40:16Z |
| format | Article |
| id | doaj.art-5e0f73398de444ccbdc7ffeca51de964 |
| institution | Directory Open Access Journal |
| issn | 2692-8388 |
| language | English |
| last_indexed | 2025-02-17T06:40:16Z |
| publishDate | 2024-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Journal of Microwaves |
| spelling | doaj.art-5e0f73398de444ccbdc7ffeca51de9642025-01-07T00:03:08ZengIEEEIEEE Journal of Microwaves2692-83882024-01-014467568910.1109/JMW.2024.345456310706872Advanced Modeling of Circular Waveguide-Based Devices With Smooth Profiles Using Transformation Optics and Hierarchical Model ReductionGiacomo Giannetti0https://orcid.org/0000-0002-4318-8176Stefano Selleri1https://orcid.org/0000-0003-3090-1451Gian Guido Gentili2https://orcid.org/0000-0001-9533-8458Gines Garcia-Contreras3https://orcid.org/0000-0001-5784-9409Juan Corcoles4https://orcid.org/0000-0002-9595-3992Jorge A. Ruiz-Cruz5https://orcid.org/0000-0003-3909-8263Department of Information Engineering, University of Florence, Florence, ItalyDepartment of Information Engineering, University of Florence, Florence, ItalyDipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milan, ItalyDepartamento de Tecnología electrónica y de las Comunicaciones, Escuela Politécnica Superior, Universidad Autónoma de Madrid, Madrid, SpainInformation Processing and Telecommunications Center, Universidad Politécnica de Madrid, Madrid, SpainInformation Processing and Telecommunications Center, Universidad Politécnica de Madrid, Madrid, SpainA powerful and accurate analysis method for the full-wave analysis of circular waveguide-based devices is introduced. The method uses transformation optics, hierarchical model reduction, and the finite element method. First, transformation optics is applied to map the original device in a cylinder filled with an anisotropic and inhomogeneous medium. Second, exploiting a hierarchical model reduction approach, the electric field is expanded in terms of the modes of the circular waveguide in the transverse plane, while the longitudinal dependence of the fields is tackled by a 1D finite element method. The BCs are fulfilled rigorously. The 3D integrals arising from the discretization of the vector electric field equation are separable, thus allowing for solving radial and longitudinal integrals once and for all, while the angular integrals are the only ones to be computed for each specific device geometry. The limitations of the method are: (a) the input and output waveguides must be circular waveguides, even with different radii; (b) the device lateral surface must be expressed as a strictly-positive single-valued function in cylindrical coordinates; (c) the device profile must be smooth. The method is verified against full-wave simulations from commercial software and measurements available in the literature, showing good agreement and efficiency.https://ieeexplore.ieee.org/document/10706872/Circular waveguideelectromagnetic modelingfinite element methodmodal analysismodel order reductiontransformation optics |
| spellingShingle | Giacomo Giannetti Stefano Selleri Gian Guido Gentili Gines Garcia-Contreras Juan Corcoles Jorge A. Ruiz-Cruz Advanced Modeling of Circular Waveguide-Based Devices With Smooth Profiles Using Transformation Optics and Hierarchical Model Reduction IEEE Journal of Microwaves Circular waveguide electromagnetic modeling finite element method modal analysis model order reduction transformation optics |
| title | Advanced Modeling of Circular Waveguide-Based Devices With Smooth Profiles Using Transformation Optics and Hierarchical Model Reduction |
| title_full | Advanced Modeling of Circular Waveguide-Based Devices With Smooth Profiles Using Transformation Optics and Hierarchical Model Reduction |
| title_fullStr | Advanced Modeling of Circular Waveguide-Based Devices With Smooth Profiles Using Transformation Optics and Hierarchical Model Reduction |
| title_full_unstemmed | Advanced Modeling of Circular Waveguide-Based Devices With Smooth Profiles Using Transformation Optics and Hierarchical Model Reduction |
| title_short | Advanced Modeling of Circular Waveguide-Based Devices With Smooth Profiles Using Transformation Optics and Hierarchical Model Reduction |
| title_sort | advanced modeling of circular waveguide based devices with smooth profiles using transformation optics and hierarchical model reduction |
| topic | Circular waveguide electromagnetic modeling finite element method modal analysis model order reduction transformation optics |
| url | https://ieeexplore.ieee.org/document/10706872/ |
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