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Title: Potential and field produced by a uniform or non-uniform elliptical beam inside a confocal elliptic vacuum chamber

Conference · · IEEE Trans. Nucl. Sci.; (United States)
OSTI ID:7291541

The potential produced by an isolated beam of elliptic cross-section seems to have been considered first by L.C. Teng. Image effects of line charges in elliptic vacuum chambers were introduced into accelerator theory by L. J. Laslett. Various approximate solutions for elliptic beams of finite cross-section coasting inside an elliptic vacuum chamber were subsequently proposed by P. Lapostolle and C. Bovet. A rigorous expression is derived for the potential produced by an elliptic beam inside an elliptic vacuum chamber, provided the beam envelope and the vacuum chamber can be assimilated to confocal ellipses.

Research Organization:
Univ., Rennes, France
OSTI ID:
7291541
Journal Information:
IEEE Trans. Nucl. Sci.; (United States), Vol. NS-24:3; Conference: Particle accelerator conference, Chicago, IL, USA, 16 Mar 1977
Country of Publication:
United States
Language:
English