Phys. Rev. ST Accel. Beams 6, 024001 (2003) [5 pages]

Integral for longitudinal phase space tomography on equilibrium distributions

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Leo Michelotti
Fermilab, P.O. Box 500, MS220, Batavia, Illinois 60510

 See Also: Publisher's Note

Received 18 November 2002; published 14 February 2003; publisher error corrected 11 March 2003

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.


©2003 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevSTAB.6.024001
DOI: 10.1103/PhysRevSTAB.6.024001
PACS: 41.85.Ew, 45.20.Jj

See Also

Publisher's Note: Leo Michelotti, Publisher’s Note: Integral for longitudinal phase space tomography on equilibrium distributions [Phys. Rev. ST Accel. Beams 6, 024001 (2003)], Phys. Rev. ST Accel. Beams 6, 039901 (2003)

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