Exact solution of the envelope equations for a matched quadrupole-focused beam in the zero space-charge limit

The Kapchinskij-Vladimirskij equations are widely used to study the evolution of the beam envelopes in a periodic system of quadrupole focusing cells. In this paper, we analyze the case of a matched beam. Our model is analogous to that used by Courant and Snyder [E. D. Courant and H. S. Snyder, Ann....

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Bibliographic Details
Main Authors: O. A. Anderson, L. L. LoDestro
Format: Article
Language:English
Published: American Physical Society 2009-05-01
Series:Physical Review Special Topics. Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevSTAB.12.054201