Email RIS file
Bookmark
Report an Issue

Elliptic distribution in longitudinal phase space (supplement to TM-1381, ''The beam and the bucket'') [electronic resource].

Published
Batavia, Ill. : Fermi National Accelerator Laboratory, 1986.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description
Pages: 11 : digital, PDF file
Additional Creators
Fermi National Accelerator Laboratory and United States. Department of Energy. Office of Scientific and Technical Information
Access Online

Availability

I Want It
I Want It

Finding items...

Restrictions on Access
Free-to-read Unrestricted online access
Summary
As an alternative to either the uniform distribution (which is not really physical) or the Gaussian distribution (which is not finite), a finite distribution called ''elliptic'' is proposed and its main properties are presented. With canonical variables q triple bonded phi-phi/sub s/,y proportional to ..delta..p/p), this distribution takes the form rho(q,y) proportional to ..sqrt..y/sub B//sup 2/(q) - y/sup 2/ where y/sub B/(q) defines the boundary of a finite bunch in (q,y) space. It is assumed that the boundary is determined by the condition ''Hamiltonian in (q,y) = constant'' so that the shape is in general not symmetric in phase. This report is intended as a supplement to the previous one, ''The Beam and the Bucket'' and, as such, it is primarily for people working in the accelerator control rooms.
Report Numbers
E 1.99:fnal-tm-1381-a
fnal-tm-1381-a
Subject(s)
Other Subject(s)
Note
Published through SciTech Connect.
04/01/1986.
"fnal-tm-1381-a"
"DE86012597"
Ohnuma, S.
Funding Information
AC02-76CH03000
View MARC record | catkey: 14695831