Phys. Rev. ST Accel. Beams 6, 104002 (2003) [6 pages]

Round-to-flat transformation of angular-momentum-dominated beams

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Kwang-Je Kim
Advanced Photon Source, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439, USA

Received 13 June 2003; published 30 October 2003

A study of round-to-flat configurations, and vice versa, of angular-momentum-dominated beams is presented. The beam propagation in an axial magnetic field is described in terms of the familiar Courant-Snyder formalism by using a rotating coordinate system. The discussion of the beam transformation is based on the general properties of a cylindrically symmetric beam matrix and the existence of two invariants for a symplectic transformation in 4D phase space.


©2003 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevSTAB.6.104002
DOI: 10.1103/PhysRevSTAB.6.104002
PACS: 29.27.–a, 41.75.Lx, 41.85.–p

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