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 |
| Summary: | 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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| ISSN: | 1098-4402 |