skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Computing Eigen-Emittances from Tracking Data

Abstract

In a strongly nonlinear system the particle distribution in the phase space may develop long tails which contribution to the covariance (sigma) matrix should be suppressed for a correct estimate of the beam emittance. A method is offered based on Gaussian approximation of the original particle distribution in the phase space (Klimontovich distribution) which leads to an equation for the sigma matrix which provides efficient suppression of the tails and cannot be obtained by introducing weights. This equation is easily solved by iterations in the multi-dimensional case. It is also shown how the eigen-emittances and coupled optics functions can be retrieved from the sigma matrix in a strongly coupled system. Finally, the developed algorithm is applied to 6D ionization cooling of muons in HFOFO channel.

Authors:
 [1]
  1. Fermilab
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1336436
Report Number(s):
FERMILAB-PUB-14-357-APC; MUON-ACCELERATOR-PROGRAM-DOCUMENT-4358-V1; arXiv:1409.5483
1318384
DOE Contract Number:  
AC02-07CH11359
Resource Type:
Journal Article
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS

Citation Formats

Alexahin, Y. Computing Eigen-Emittances from Tracking Data. United States: N. p., 2014. Web.
Alexahin, Y. Computing Eigen-Emittances from Tracking Data. United States.
Alexahin, Y. Thu . "Computing Eigen-Emittances from Tracking Data". United States. https://www.osti.gov/servlets/purl/1336436.
@article{osti_1336436,
title = {Computing Eigen-Emittances from Tracking Data},
author = {Alexahin, Y.},
abstractNote = {In a strongly nonlinear system the particle distribution in the phase space may develop long tails which contribution to the covariance (sigma) matrix should be suppressed for a correct estimate of the beam emittance. A method is offered based on Gaussian approximation of the original particle distribution in the phase space (Klimontovich distribution) which leads to an equation for the sigma matrix which provides efficient suppression of the tails and cannot be obtained by introducing weights. This equation is easily solved by iterations in the multi-dimensional case. It is also shown how the eigen-emittances and coupled optics functions can be retrieved from the sigma matrix in a strongly coupled system. Finally, the developed algorithm is applied to 6D ionization cooling of muons in HFOFO channel.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2014},
month = {9}
}