Generalized Bessel Functions and Their Use in Bremsstrahlung and Multi-Photon Processes
The theory of Generalized Bessel Functions is reviewed and their application to various problems in the study of electro-magnetic processes is presented. We consider the cases of emission of bremsstrahlung radiation by ultra-relativistic electrons in linearly polarized undulators, including also exo...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-01-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/2/159 |
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| author | Giuseppe Dattoli Emanuele Di Palma Silvia Licciardi Elio Sabia |
| author_facet | Giuseppe Dattoli Emanuele Di Palma Silvia Licciardi Elio Sabia |
| author_sort | Giuseppe Dattoli |
| collection | DOAJ |
| description | The theory of Generalized Bessel Functions is reviewed and their application to various problems in the study of electro-magnetic processes is presented. We consider the cases of emission of bremsstrahlung radiation by ultra-relativistic electrons in linearly polarized undulators, including also exotic configurations, aimed at enhancing the harmonic content of the emitted radiation. The analysis is eventually extended to the generalization of the FEL pendulum equation to treat Free Electron Laser operating with multi-harmonic undulators. The paper aims at picking out those elements supporting the usefulness of the Generalized Bessel Functions in the elaboration of the theory underlying the study of the spectral properties of the bremsstrahlung radiation emitted by relativistic charges, along with the relevant flexibility in accounting for a large variety of apparently uncorrelated phenomenolgies, like multi-photon processes, including non linear Compton scattering. |
| first_indexed | 2024-03-09T04:11:39Z |
| format | Article |
| id | doaj.art-63218d11840348be8052d6bab738d7c7 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T04:11:39Z |
| publishDate | 2021-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-63218d11840348be8052d6bab738d7c72023-12-03T13:59:54ZengMDPI AGSymmetry2073-89942021-01-0113215910.3390/sym13020159Generalized Bessel Functions and Their Use in Bremsstrahlung and Multi-Photon ProcessesGiuseppe Dattoli0Emanuele Di Palma1Silvia Licciardi2Elio Sabia3ENEA—Frascati Research Center, Via Enrico Fermi 45, 00044 Rome, ItalyENEA—Frascati Research Center, Via Enrico Fermi 45, 00044 Rome, ItalyENEA—Frascati Research Center, Via Enrico Fermi 45, 00044 Rome, ItalyENEA—Frascati Research Center, Via Enrico Fermi 45, 00044 Rome, ItalyThe theory of Generalized Bessel Functions is reviewed and their application to various problems in the study of electro-magnetic processes is presented. We consider the cases of emission of bremsstrahlung radiation by ultra-relativistic electrons in linearly polarized undulators, including also exotic configurations, aimed at enhancing the harmonic content of the emitted radiation. The analysis is eventually extended to the generalization of the FEL pendulum equation to treat Free Electron Laser operating with multi-harmonic undulators. The paper aims at picking out those elements supporting the usefulness of the Generalized Bessel Functions in the elaboration of the theory underlying the study of the spectral properties of the bremsstrahlung radiation emitted by relativistic charges, along with the relevant flexibility in accounting for a large variety of apparently uncorrelated phenomenolgies, like multi-photon processes, including non linear Compton scattering.https://www.mdpi.com/2073-8994/13/2/159free electron lasersynchrotron radiationBessel functionsgenerating functionsintegral representation |
| spellingShingle | Giuseppe Dattoli Emanuele Di Palma Silvia Licciardi Elio Sabia Generalized Bessel Functions and Their Use in Bremsstrahlung and Multi-Photon Processes Symmetry free electron laser synchrotron radiation Bessel functions generating functions integral representation |
| title | Generalized Bessel Functions and Their Use in Bremsstrahlung and Multi-Photon Processes |
| title_full | Generalized Bessel Functions and Their Use in Bremsstrahlung and Multi-Photon Processes |
| title_fullStr | Generalized Bessel Functions and Their Use in Bremsstrahlung and Multi-Photon Processes |
| title_full_unstemmed | Generalized Bessel Functions and Their Use in Bremsstrahlung and Multi-Photon Processes |
| title_short | Generalized Bessel Functions and Their Use in Bremsstrahlung and Multi-Photon Processes |
| title_sort | generalized bessel functions and their use in bremsstrahlung and multi photon processes |
| topic | free electron laser synchrotron radiation Bessel functions generating functions integral representation |
| url | https://www.mdpi.com/2073-8994/13/2/159 |
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