Longitudinal coupling impedance of a particle traveling in PEC rings: A regularised analysis
Abstract The analysis of a charged particle traveling through one, two, or infinite conducting rings is presented. The problem is formulated in the spectral domain as integral equations of Fredholm type, solved by Galerkin's method employing entire domain functions factorising the correct edge...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-08-01
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| Series: | IET Microwaves, Antennas & Propagation |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/mia2.12169 |
| _version_ | 1798025920844398592 |
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| author | Dario Assante Gaetano Panariello Fulvio Schettino Luigi Verolino |
| author_facet | Dario Assante Gaetano Panariello Fulvio Schettino Luigi Verolino |
| author_sort | Dario Assante |
| collection | DOAJ |
| description | Abstract The analysis of a charged particle traveling through one, two, or infinite conducting rings is presented. The problem is formulated in the spectral domain as integral equations of Fredholm type, solved by Galerkin's method employing entire domain functions factorising the correct edge behaviour of the unknown induced current. As a result, high accuracy and numerical stability are achieved. Numerical results are presented, proving the effectiveness of the method, and the parameters relevant to accelerator physics are calculated. |
| first_indexed | 2024-04-11T18:26:43Z |
| format | Article |
| id | doaj.art-a72329dafa334bf79eeb131f9a809351 |
| institution | Directory Open Access Journal |
| issn | 1751-8725 1751-8733 |
| language | English |
| last_indexed | 2024-04-11T18:26:43Z |
| publishDate | 2021-08-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Microwaves, Antennas & Propagation |
| spelling | doaj.art-a72329dafa334bf79eeb131f9a8093512022-12-22T04:09:35ZengWileyIET Microwaves, Antennas & Propagation1751-87251751-87332021-08-0115101318132910.1049/mia2.12169Longitudinal coupling impedance of a particle traveling in PEC rings: A regularised analysisDario Assante0Gaetano Panariello1Fulvio Schettino2Luigi Verolino3International Telematic University Uninettuno ItalyDepartment of Electrical and Information Engineering “Maurizio Scarano” University of Cassino and Southern Lazio ItalyDepartment of Electrical and Information Engineering “Maurizio Scarano” University of Cassino and Southern Lazio ItalyDepartment of Electrical Engineering and Information Technology University of Naples “Federico II” ItalyAbstract The analysis of a charged particle traveling through one, two, or infinite conducting rings is presented. The problem is formulated in the spectral domain as integral equations of Fredholm type, solved by Galerkin's method employing entire domain functions factorising the correct edge behaviour of the unknown induced current. As a result, high accuracy and numerical stability are achieved. Numerical results are presented, proving the effectiveness of the method, and the parameters relevant to accelerator physics are calculated.https://doi.org/10.1049/mia2.12169Galerkin methodFredholm integral equationsnumerical stabilityelectromagnetic wave diffraction |
| spellingShingle | Dario Assante Gaetano Panariello Fulvio Schettino Luigi Verolino Longitudinal coupling impedance of a particle traveling in PEC rings: A regularised analysis IET Microwaves, Antennas & Propagation Galerkin method Fredholm integral equations numerical stability electromagnetic wave diffraction |
| title | Longitudinal coupling impedance of a particle traveling in PEC rings: A regularised analysis |
| title_full | Longitudinal coupling impedance of a particle traveling in PEC rings: A regularised analysis |
| title_fullStr | Longitudinal coupling impedance of a particle traveling in PEC rings: A regularised analysis |
| title_full_unstemmed | Longitudinal coupling impedance of a particle traveling in PEC rings: A regularised analysis |
| title_short | Longitudinal coupling impedance of a particle traveling in PEC rings: A regularised analysis |
| title_sort | longitudinal coupling impedance of a particle traveling in pec rings a regularised analysis |
| topic | Galerkin method Fredholm integral equations numerical stability electromagnetic wave diffraction |
| url | https://doi.org/10.1049/mia2.12169 |
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