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Title: Self-consistent Analysis of Three-dimensional Uniformly Charged Ellipsoid with Zero Emittance

Abstract

A self-consistent treatment of a three-dimensional ellipsoid with negligible emittance in time-dependent external field is performed. Envelope equations describing the evolution of an ellipsoid boundary are discussed. For a complete model it is required that the initial particle momenta be a linear function of the coordinates. Numerical example and verification of the problem by a 3-dimensional particle-in-cell simulations are given.

Authors:
Publication Date:
Research Org.:
Stanford Linear Accelerator Center, Menlo Park, CA (US)
Sponsoring Org.:
USDOE Office of Energy Research (ER) (US)
OSTI Identifier:
784922
Report Number(s):
SLAC-PUB-8832
TRN: US0108695
DOE Contract Number:  
AC03-76SF00515
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 17 May 2001
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; VERIFICATION; THREE-DIMENSIONAL CALCULATIONS; SELF-CONSISTENT FIELD; BOUNDARY CONDITIONS; PARTICLE BEAMS; COMPUTERIZED SIMULATION

Citation Formats

Batygin, Yuri K. Self-consistent Analysis of Three-dimensional Uniformly Charged Ellipsoid with Zero Emittance. United States: N. p., 2001. Web. doi:10.2172/784922.
Batygin, Yuri K. Self-consistent Analysis of Three-dimensional Uniformly Charged Ellipsoid with Zero Emittance. United States. doi:10.2172/784922.
Batygin, Yuri K. Thu . "Self-consistent Analysis of Three-dimensional Uniformly Charged Ellipsoid with Zero Emittance". United States. doi:10.2172/784922. https://www.osti.gov/servlets/purl/784922.
@article{osti_784922,
title = {Self-consistent Analysis of Three-dimensional Uniformly Charged Ellipsoid with Zero Emittance},
author = {Batygin, Yuri K},
abstractNote = {A self-consistent treatment of a three-dimensional ellipsoid with negligible emittance in time-dependent external field is performed. Envelope equations describing the evolution of an ellipsoid boundary are discussed. For a complete model it is required that the initial particle momenta be a linear function of the coordinates. Numerical example and verification of the problem by a 3-dimensional particle-in-cell simulations are given.},
doi = {10.2172/784922},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu May 17 00:00:00 EDT 2001},
month = {Thu May 17 00:00:00 EDT 2001}
}

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