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Title: Analytical study of envelope modes for a fully depressed beam in solenoidal and quadrupole periodic transport channels

Abstract

We present an analysis of envelope perturbations evolving in the limit of a fully space-charge depressed (zero emittance) beam in periodic, thin-lens focusing channels. Both periodic solenoidal and FODO quadrupole focusing channels are analyzed. The phase advance and growth rate of normal mode perturbations are analytically calculated as a function of the undepressed particle phase advance to characterize the evolution of envelope perturbations.

Authors:
;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Director, Office of Science. Fusion Energy Sciences (US)
OSTI Identifier:
815527
Report Number(s):
LBNL-53209; HIFAN 1261
R&D Project: Z46010; TRN: US0304650
DOE Contract Number:  
AC03-76SF00098
Resource Type:
Conference
Resource Relation:
Conference: Particle Accelerator Conference PAC 2003, Portland, OR (US), 05/12/2003--05/16/2003; Other Information: PBD: 1 May 2003
Country of Publication:
United States
Language:
English
Subject:
32 ENERGY CONSERVATION, CONSUMPTION, AND UTILIZATION; 43 PARTICLE ACCELERATORS; ACCELERATORS; FOCUSING; QUADRUPOLES; SPACE CHARGE; TRANSPORT

Citation Formats

Bukh, Boris, and Lund, Steven M. Analytical study of envelope modes for a fully depressed beam in solenoidal and quadrupole periodic transport channels. United States: N. p., 2003. Web.
Bukh, Boris, & Lund, Steven M. Analytical study of envelope modes for a fully depressed beam in solenoidal and quadrupole periodic transport channels. United States.
Bukh, Boris, and Lund, Steven M. Thu . "Analytical study of envelope modes for a fully depressed beam in solenoidal and quadrupole periodic transport channels". United States. https://www.osti.gov/servlets/purl/815527.
@article{osti_815527,
title = {Analytical study of envelope modes for a fully depressed beam in solenoidal and quadrupole periodic transport channels},
author = {Bukh, Boris and Lund, Steven M.},
abstractNote = {We present an analysis of envelope perturbations evolving in the limit of a fully space-charge depressed (zero emittance) beam in periodic, thin-lens focusing channels. Both periodic solenoidal and FODO quadrupole focusing channels are analyzed. The phase advance and growth rate of normal mode perturbations are analytically calculated as a function of the undepressed particle phase advance to characterize the evolution of envelope perturbations.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2003},
month = {5}
}

Conference:
Other availability
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