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

Journal Article · · Advances in Imaging and Electron Physics
 [1]
  1. Michigan State Univ., East Lansing, MI (United States); Michigan State University, MI, USA. Department of Physics and Astronomy

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.

Research Organization:
Michigan State Univ., East Lansing, MI (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
FG02-08ER41546; SC0018636
OSTI ID:
1661697
Journal Information:
Advances in Imaging and Electron Physics, Journal Name: Advances in Imaging and Electron Physics Vol. 213; ISSN 1076-5670
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (3)

Second order approximation of the three-dimensional trajectories of charged particles in deflecting electrostatic and magnetic fields journal April 1965
Relations between elements of transfer matrices due to the condition of symplecticity journal July 1985
COSY INFINITY Version 9
  • Makino, Kyoko; Berz, Martin
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 558, Issue 1 https://doi.org/10.1016/j.nima.2005.11.109
journal March 2006