NT & RP Journal
SPATIAL RAINBOWS AND CATASTROPHES IN TRANSMISSION OF PROTONS THROUGH THE ELECTROSTATIC OCTOPOLE LENS
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Vol. XXXIII, No. 4, Pp. 325-417
December 2018
UDC 621.039+614.876:504.06
ISSN 1451-3994

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Pages: 347-355

Authors:
Igor N. Telečki, Sanja M. Grujović Zdolšek, and Srdjan M. Petrović

Abstract

This paper considers the transmission of the initial parallel proton beam with kinetic energy of 10 keV through the electrostatic octopole lens. The spatial rainbows and corresponding proton distributions are calculated by using the infinite length approximation potential. Positive potentials of the lens electrodes are set to be 0.35 kV and 9 kV. It has been shown that by application of catastrophe theory, the generating function for mapping proton positions between entrance and exit transverse plains can be determined, giving accurate rainbow patterns for biasing potentials of 0.35 kV.

Key words: octopole, beam optics, catastrophe theory, rainbow line, aberration

FULL PAPER IN PDF FORMAT (12.03 MB)

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