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.

Bibliographic Details
Main Author: Leo Michelotti
Format: Article
Language:English
Published: American Physical Society 2003-02-01
Series:Physical Review Special Topics. Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevSTAB.6.024001