Integral for longitudinal phase space tomography on equilibrium distributions
We employ Abel’s transform to derive an analytic expression for filtering an equilibrium distribution function from its longitudinal beam profile. The result can be applied to a large class of Hamiltonians that are quadratic in the momentum coordinate.
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| Format: | Article |
| Language: | English |
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American Physical Society
2003-02-01
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| Series: | Physical Review Special Topics. Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevSTAB.6.024001 |
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doaj-9da1c4772d2f445b8baa9f49d361e66f2020-11-25T02:15:05ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022003-02-016202400110.1103/PhysRevSTAB.6.024001Integral for longitudinal phase space tomography on equilibrium distributionsLeo MichelottiWe employ Abel’s transform to derive an analytic expression for filtering an equilibrium distribution function from its longitudinal beam profile. The result can be applied to a large class of Hamiltonians that are quadratic in the momentum coordinate.http://doi.org/10.1103/PhysRevSTAB.6.024001 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Leo Michelotti |
| spellingShingle |
Leo Michelotti Integral for longitudinal phase space tomography on equilibrium distributions Physical Review Special Topics. Accelerators and Beams |
| author_facet |
Leo Michelotti |
| author_sort |
Leo Michelotti |
| title |
Integral for longitudinal phase space tomography on equilibrium distributions |
| title_short |
Integral for longitudinal phase space tomography on equilibrium distributions |
| title_full |
Integral for longitudinal phase space tomography on equilibrium distributions |
| title_fullStr |
Integral for longitudinal phase space tomography on equilibrium distributions |
| title_full_unstemmed |
Integral for longitudinal phase space tomography on equilibrium distributions |
| title_sort |
integral for longitudinal phase space tomography on equilibrium distributions |
| publisher |
American Physical Society |
| series |
Physical Review Special Topics. Accelerators and Beams |
| issn |
1098-4402 |
| publishDate |
2003-02-01 |
| description |
We employ Abel’s transform to derive an analytic expression for filtering an equilibrium distribution function from its longitudinal beam profile. The result can be applied to a large class of Hamiltonians that are quadratic in the momentum coordinate. |
| url |
http://doi.org/10.1103/PhysRevSTAB.6.024001 |
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