Relation between field energy and RMS emittance in intense particle beams
Abstract
An equation is presented for continuous beams with azimuthal symmetry and continuous linear focusing, which expresses a relationship between the rate of change for squared rms emittance and the rate of change for a quantity we call the nonlinear field energy. The nonlinear field energy depends on the shape of the charge distribution and corresponds to the residual field energy possessed by beams with nonuniform charge distributions. The equation can be integrated for the case of an rms matched beam to yield a formula for spacechargeinduced emittance growth that we have tested numerically for a variety of initial distributions. The results provide a framework for discussing the scaling of rms emittance growth and an explanation for the wellestablished lower limit on output emittance. 15 refs., 4 figs.
 Authors:
 Publication Date:
 Research Org.:
 Los Alamos National Lab., NM (USA); Maryland Univ., College Park (USA)
 OSTI Identifier:
 5735912
 Report Number(s):
 LAUR851622; CONF85050458
ON: DE85012655
 DOE Contract Number:
 W7405ENG36
 Resource Type:
 Conference
 Resource Relation:
 Conference: Particle accelerator conference, Vancouver, Canada, 13 May 1985
 Country of Publication:
 United States
 Language:
 English
 Subject:
 43 PARTICLE ACCELERATORS; PARTICLE BEAMS; BEAM EMITTANCE; SIMULATION; BEAM DYNAMICS; NUMERICAL SOLUTION; OSCILLATIONS; SPACE CHARGE; BEAMS; 430200*  Particle Accelerators Beam Dynamics, Field Calculations, & Ion Optics
Citation Formats
Wangler, T.P., Crandall, K.R., Mills, R.S., and Reiser, M. Relation between field energy and RMS emittance in intense particle beams. United States: N. p., 1985.
Web.
Wangler, T.P., Crandall, K.R., Mills, R.S., & Reiser, M. Relation between field energy and RMS emittance in intense particle beams. United States.
Wangler, T.P., Crandall, K.R., Mills, R.S., and Reiser, M. Tue .
"Relation between field energy and RMS emittance in intense particle beams". United States.
doi:. https://www.osti.gov/servlets/purl/5735912.
@article{osti_5735912,
title = {Relation between field energy and RMS emittance in intense particle beams},
author = {Wangler, T.P. and Crandall, K.R. and Mills, R.S. and Reiser, M.},
abstractNote = {An equation is presented for continuous beams with azimuthal symmetry and continuous linear focusing, which expresses a relationship between the rate of change for squared rms emittance and the rate of change for a quantity we call the nonlinear field energy. The nonlinear field energy depends on the shape of the charge distribution and corresponds to the residual field energy possessed by beams with nonuniform charge distributions. The equation can be integrated for the case of an rms matched beam to yield a formula for spacechargeinduced emittance growth that we have tested numerically for a variety of initial distributions. The results provide a framework for discussing the scaling of rms emittance growth and an explanation for the wellestablished lower limit on output emittance. 15 refs., 4 figs.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Jan 01 00:00:00 EST 1985},
month = {Tue Jan 01 00:00:00 EST 1985}
}

An equation is presented for continuous beams with azimuthal symmetry and continuous linear focusing, which expresses a relationship between the rate of change for squared rms emittance and the rate of change for a quantity we call the nonlinear field energy. The nonlinear field energy depends on the shape of the charge distribution and corresponds to the residual field energy possessed by beams with nonuniform charge distributions. The equation can be integrated for the case of an rms matched beam to yield a formula for spacechargeinduced emittance growth that we have tested numerically for a variety of initial distributions. Themore »

Field energy and RMS emittance in intense particle beams
An equation is presented for continuous beam with azimuthal symmetry and continuous linear focusing; the equation expresses a relationship between the rate of change for squared rms emittance and the rate of change for a quantity we call the nonlinear field energy. The nonlinear field energy depends on the shape of the charge distribution and corresponds to the residual field energy possessed by beams with nonuniform charge distributions. The equation can be integrated for the case of an rms matched beam to yield a formula for spacechargeinduced emittance growth that we have tested numerically for a variety of initial distributions.more » 
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