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Title: Analysis and fringe field scaling of a legacy set of electrostatic deflector aberration formulas [Chapter Seven]

Abstract

In this work we performed an analysis of the derivation of first and second order analytic aberration formulas by Wollnik (1965) for the case of electrostatic deflectors in the horizontal plane. We found that these aberration formulas are valid for the main field of the deflector; however, they do not account for any fringe field effects. To address this issue, we modified the aberration formulas from Wollnik (1965) for a hard edge fringe field by scaling the particle inclinations at the entrance and exit edges of the deflector. These modified aberration formulas fully agree with electrostatic aberration formulas derived by Valetov and Berz (2020), as well as with differential-algebraic (DA) calculations of electrostatic deflector aberrations using the code COSY INFINITY.

Authors:
 [1]
  1. Michigan State Univ., East Lansing, MI (United States)
Publication Date:
Research Org.:
Michigan State Univ., East Lansing, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1661697
Grant/Contract Number:  
SC0018636; FG02-08ER41546
Resource Type:
Accepted Manuscript
Journal Name:
Advances in Imaging and Electron Physics
Additional Journal Information:
Journal Volume: 213; Related Information: Chapter seven in the series; Journal ID: ISSN 1076-5670
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; Electrostatic deflectors; Aberrations; Fringe fields; Energy conservation

Citation Formats

Valetov, Eremey. Analysis and fringe field scaling of a legacy set of electrostatic deflector aberration formulas [Chapter Seven]. United States: N. p., 2019. Web. https://doi.org/10.1016/bs.aiep.2019.11.008.
Valetov, Eremey. Analysis and fringe field scaling of a legacy set of electrostatic deflector aberration formulas [Chapter Seven]. United States. https://doi.org/10.1016/bs.aiep.2019.11.008
Valetov, Eremey. Mon . "Analysis and fringe field scaling of a legacy set of electrostatic deflector aberration formulas [Chapter Seven]". United States. https://doi.org/10.1016/bs.aiep.2019.11.008. https://www.osti.gov/servlets/purl/1661697.
@article{osti_1661697,
title = {Analysis and fringe field scaling of a legacy set of electrostatic deflector aberration formulas [Chapter Seven]},
author = {Valetov, Eremey},
abstractNote = {In this work we performed an analysis of the derivation of first and second order analytic aberration formulas by Wollnik (1965) for the case of electrostatic deflectors in the horizontal plane. We found that these aberration formulas are valid for the main field of the deflector; however, they do not account for any fringe field effects. To address this issue, we modified the aberration formulas from Wollnik (1965) for a hard edge fringe field by scaling the particle inclinations at the entrance and exit edges of the deflector. These modified aberration formulas fully agree with electrostatic aberration formulas derived by Valetov and Berz (2020), as well as with differential-algebraic (DA) calculations of electrostatic deflector aberrations using the code COSY INFINITY.},
doi = {10.1016/bs.aiep.2019.11.008},
journal = {Advances in Imaging and Electron Physics},
number = ,
volume = 213,
place = {United States},
year = {2019},
month = {12}
}

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Works referenced in this record:

COSY INFINITY Version 9
journal, March 2006

  • Makino, Kyoko; Berz, Martin
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 558, Issue 1
  • DOI: 10.1016/j.nima.2005.11.109

Relations between elements of transfer matrices due to the condition of symplecticity
journal, July 1985

  • Wollnik, H.; Berz, M.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 238, Issue 1
  • DOI: 10.1016/0168-9002(85)91037-X