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Application of the matrizant method to calculate the third-order aberration coefficients for a sector magnetic field including fringing-field effects

  • Electron and Ion Beams, Accelerators
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Abstract

The matrizant method is used to study the nonlinear dynamics of charged particles in magnetic sector analyzers. The calculations of matrizants (transfer matrices) allow for both fringing-field effects due to the stray field and higher harmonics of the sector magnetic field (up to the third order). For the rectangular distribution of the field components along the optical axis, analytical expressions for the aberration coefficients (including dispersion ones) are derived up to the third order. In the simulation of real fields with a nonzero stray-field width, the smooth distribution of the field components is employed. The aberration coefficients for this distribution were calculated by means of a conservative numerical method.

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Authors and Affiliations

  1. Institute of Applied Physics, National Academy of Sciences of Ukraine, ul. Petropavlovskaya 58, Sumy, 40030, Ukraine

    S. N. Mordik & A. G. Ponomarev

Authors
  1. S. N. Mordik
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  2. A. G. Ponomarev
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__________

Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 71, No. 7, 2001, pp. 98–105.

Original Russian Text Copyright © 2001 by Mordik, Ponomarev.

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Mordik, S.N., Ponomarev, A.G. Application of the matrizant method to calculate the third-order aberration coefficients for a sector magnetic field including fringing-field effects. Tech. Phys. 46, 883–891 (2001). https://doi.org/10.1134/1.1387552

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