Bunching coefficients in echo-enabled harmonic generation
Coulombian diffusion determines a dilution of bunching coefficients in free electron laser seeded devices. From the mathematical point of view the effect can be modeled through a heat-type equation, which can be merged with the ordinary Liouville equation, ruling the evolution of the longitudinal ph...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2013-07-01
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| Series: | Physical Review Special Topics. Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevSTAB.16.070702 |
| _version_ | 1818986738081595392 |
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| author | G. Dattoli E. Sabia |
| author_facet | G. Dattoli E. Sabia |
| author_sort | G. Dattoli |
| collection | DOAJ |
| description | Coulombian diffusion determines a dilution of bunching coefficients in free electron laser seeded devices. From the mathematical point of view the effect can be modeled through a heat-type equation, which can be merged with the ordinary Liouville equation, ruling the evolution of the longitudinal phase space beam distribution. We will show that the use of analytical tools like the generalized Bessel functions and algebraic techniques for the solution of evolution problems may provide a useful method of analysis and shine further light on the physical aspects of the underlying mechanisms. |
| first_indexed | 2024-12-20T18:55:33Z |
| format | Article |
| id | doaj.art-87327491d70a43d2ab0cb12ebf92a1a6 |
| institution | Directory Open Access Journal |
| issn | 1098-4402 |
| language | English |
| last_indexed | 2024-12-20T18:55:33Z |
| publishDate | 2013-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Special Topics. Accelerators and Beams |
| spelling | doaj.art-87327491d70a43d2ab0cb12ebf92a1a62022-12-21T19:29:31ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022013-07-0116707070210.1103/PhysRevSTAB.16.070702Bunching coefficients in echo-enabled harmonic generationG. DattoliE. SabiaCoulombian diffusion determines a dilution of bunching coefficients in free electron laser seeded devices. From the mathematical point of view the effect can be modeled through a heat-type equation, which can be merged with the ordinary Liouville equation, ruling the evolution of the longitudinal phase space beam distribution. We will show that the use of analytical tools like the generalized Bessel functions and algebraic techniques for the solution of evolution problems may provide a useful method of analysis and shine further light on the physical aspects of the underlying mechanisms.http://doi.org/10.1103/PhysRevSTAB.16.070702 |
| spellingShingle | G. Dattoli E. Sabia Bunching coefficients in echo-enabled harmonic generation Physical Review Special Topics. Accelerators and Beams |
| title | Bunching coefficients in echo-enabled harmonic generation |
| title_full | Bunching coefficients in echo-enabled harmonic generation |
| title_fullStr | Bunching coefficients in echo-enabled harmonic generation |
| title_full_unstemmed | Bunching coefficients in echo-enabled harmonic generation |
| title_short | Bunching coefficients in echo-enabled harmonic generation |
| title_sort | bunching coefficients in echo enabled harmonic generation |
| url | http://doi.org/10.1103/PhysRevSTAB.16.070702 |
| work_keys_str_mv | AT gdattoli bunchingcoefficientsinechoenabledharmonicgeneration AT esabia bunchingcoefficientsinechoenabledharmonicgeneration |