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

Valetov, Eremey

doi:10.1016/bs.aiep.2019.11.008

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:

Valetov, Eremey ^[1]

Michigan State Univ., East Lansing, MI (United States)

Publication Date:: Mon Dec 30 00:00:00 EST 2019

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.  doi:10.1016/bs.aiep.2019.11.008.

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                    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

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                    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.

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@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         = {Mon Dec 30 00:00:00 EST 2019},

  month        = {Mon Dec 30 00:00:00 EST 2019}

}

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Works referenced in this record:

Second order approximation of the three-dimensional trajectories of charged particles in deflecting electrostatic and magnetic fields
journal, April 1965

Wollnik, H.
Nuclear Instruments and Methods, Vol. 34
DOI: 10.1016/0029-554X(65)90297-1

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

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Similar Records

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

Abstract

Citation Formats

Second order approximation of the three-dimensional trajectories of charged particles in deflecting electrostatic and magnetic fields journal, April 1965

COSY INFINITY Version 9 journal, March 2006

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

Second order approximation of the three-dimensional trajectories of charged particles in deflecting electrostatic and magnetic fields
journal, April 1965

COSY INFINITY Version 9
journal, March 2006

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