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 differentialalgebraic (DA) calculations of electrostatic deflector aberrations using the code COSY INFINITY.
 Authors:

 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; FG0208ER41546
 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 10765670
 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 differentialalgebraic (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}
}
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
Second order approximation of the threedimensional trajectories of charged particles in deflecting electrostatic and magnetic fields
journal, April 1965
 Wollnik, H.
 Nuclear Instruments and Methods, Vol. 34
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