BICGSTAB-FFT Method of Moments with NURBS for Analysis of Planar Generic Layouts Embedded in Large Multilayer Structures
BICGSTAB-FFT method of moment (MM) scheme is proposed to analyze several levels of planar generic layouts embedded in large multilayer structures when the layout geometries are modeled by NURBS surfaces. In this scheme, efficient computation of normalized error defined in iterative bi-conjugate grad...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-09-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/9/9/1476 |
| _version_ | 1797554121901867008 |
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| author | Rafael Florencio Álvaro Somolinos Iván González Felipe Cátedra |
| author_facet | Rafael Florencio Álvaro Somolinos Iván González Felipe Cátedra |
| author_sort | Rafael Florencio |
| collection | DOAJ |
| description | BICGSTAB-FFT method of moment (MM) scheme is proposed to analyze several levels of planar generic layouts embedded in large multilayer structures when the layout geometries are modeled by NURBS surfaces. In this scheme, efficient computation of normalized error defined in iterative bi-conjugate gradient stabilized (BICGSTAB) method for large multilayer structure analysis problems is implemented. The efficient computation is based on pulse expansion with dense equi-spaced mesh of generalized rooftop basis functions (BFs) defined on NURBS surfaces and equivalent periodic problem (EPP) in order to apply fast Fourier transforms (FFT). Moreover, efficient computation of Green’s functions for multilayer structure is implemented for near and far field regions. Experimental and numerical validations of whole printed reflect array antennas of electrical size between 8 and 16 times the vacuum wavelengths are shown. In these validations, CPU time consumptions of the proposed method are obtained with results between few minutes and half an hour using a conventional laptop. |
| first_indexed | 2024-03-10T16:27:15Z |
| format | Article |
| id | doaj.art-3ed8eb02ac564a048127c736b459bc8f |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-10T16:27:15Z |
| publishDate | 2020-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-3ed8eb02ac564a048127c736b459bc8f2023-11-20T13:07:06ZengMDPI AGElectronics2079-92922020-09-0199147610.3390/electronics9091476BICGSTAB-FFT Method of Moments with NURBS for Analysis of Planar Generic Layouts Embedded in Large Multilayer StructuresRafael Florencio0Álvaro Somolinos1Iván González2Felipe Cátedra3Department of Physics and Mathematics, University of Alcalá, 28805 Alcalá de Henares, SpainDepartment of Computer Science, University of Alcalá, 28805 Alcalá de Henares, SpainDepartment of Computer Science, University of Alcalá, 28805 Alcalá de Henares, SpainDepartment of Computer Science, University of Alcalá, 28805 Alcalá de Henares, SpainBICGSTAB-FFT method of moment (MM) scheme is proposed to analyze several levels of planar generic layouts embedded in large multilayer structures when the layout geometries are modeled by NURBS surfaces. In this scheme, efficient computation of normalized error defined in iterative bi-conjugate gradient stabilized (BICGSTAB) method for large multilayer structure analysis problems is implemented. The efficient computation is based on pulse expansion with dense equi-spaced mesh of generalized rooftop basis functions (BFs) defined on NURBS surfaces and equivalent periodic problem (EPP) in order to apply fast Fourier transforms (FFT). Moreover, efficient computation of Green’s functions for multilayer structure is implemented for near and far field regions. Experimental and numerical validations of whole printed reflect array antennas of electrical size between 8 and 16 times the vacuum wavelengths are shown. In these validations, CPU time consumptions of the proposed method are obtained with results between few minutes and half an hour using a conventional laptop.https://www.mdpi.com/2079-9292/9/9/1476integral equationsmoment methodsmultilayered mediareflectarrays |
| spellingShingle | Rafael Florencio Álvaro Somolinos Iván González Felipe Cátedra BICGSTAB-FFT Method of Moments with NURBS for Analysis of Planar Generic Layouts Embedded in Large Multilayer Structures Electronics integral equations moment methods multilayered media reflectarrays |
| title | BICGSTAB-FFT Method of Moments with NURBS for Analysis of Planar Generic Layouts Embedded in Large Multilayer Structures |
| title_full | BICGSTAB-FFT Method of Moments with NURBS for Analysis of Planar Generic Layouts Embedded in Large Multilayer Structures |
| title_fullStr | BICGSTAB-FFT Method of Moments with NURBS for Analysis of Planar Generic Layouts Embedded in Large Multilayer Structures |
| title_full_unstemmed | BICGSTAB-FFT Method of Moments with NURBS for Analysis of Planar Generic Layouts Embedded in Large Multilayer Structures |
| title_short | BICGSTAB-FFT Method of Moments with NURBS for Analysis of Planar Generic Layouts Embedded in Large Multilayer Structures |
| title_sort | bicgstab fft method of moments with nurbs for analysis of planar generic layouts embedded in large multilayer structures |
| topic | integral equations moment methods multilayered media reflectarrays |
| url | https://www.mdpi.com/2079-9292/9/9/1476 |
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