Spatial rainbows and catastrophes in transmission of protons through electrostatic octopole lens
Abstract
This paper considers the transmission of the initial parallel proton beam with kinetic energy of 10 keV through the electrostatic oelopole 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. © 2018; Vinca Inst Nuclear Sci. All rights reserved.
Keywords:
octopole / beam optics / catastrophe theory / rainbow line / aberrationSource:
Nuclear Technology and Radiation Protection, 2018, 33, 4, 347-355Funding / projects:
- Physics and Chemistry with Ion Beams (RS-45006)
DOI: 10.2298/NTRP180910008T
ISSN: 1451-3994; 1452-8185
WoS: 000466815000004
Scopus: 2-s2.0-85063493881
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Institution/Community
VinčaTY - JOUR AU - Telečki, Igor N. AU - Grujović-Zdolšek, Sanja M. AU - Petrović, Srđan M. PY - 2018 UR - https://vinar.vin.bg.ac.rs/handle/123456789/8119 AB - This paper considers the transmission of the initial parallel proton beam with kinetic energy of 10 keV through the electrostatic oelopole 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. © 2018; Vinca Inst Nuclear Sci. All rights reserved. T2 - Nuclear Technology and Radiation Protection T1 - Spatial rainbows and catastrophes in transmission of protons through electrostatic octopole lens VL - 33 IS - 4 SP - 347 EP - 355 DO - 10.2298/NTRP180910008T ER -
@article{ author = "Telečki, Igor N. and Grujović-Zdolšek, Sanja M. and Petrović, Srđan M.", year = "2018", abstract = "This paper considers the transmission of the initial parallel proton beam with kinetic energy of 10 keV through the electrostatic oelopole 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. © 2018; Vinca Inst Nuclear Sci. All rights reserved.", journal = "Nuclear Technology and Radiation Protection", title = "Spatial rainbows and catastrophes in transmission of protons through electrostatic octopole lens", volume = "33", number = "4", pages = "347-355", doi = "10.2298/NTRP180910008T" }
Telečki, I. N., Grujović-Zdolšek, S. M.,& Petrović, S. M.. (2018). Spatial rainbows and catastrophes in transmission of protons through electrostatic octopole lens. in Nuclear Technology and Radiation Protection, 33(4), 347-355. https://doi.org/10.2298/NTRP180910008T
Telečki IN, Grujović-Zdolšek SM, Petrović SM. Spatial rainbows and catastrophes in transmission of protons through electrostatic octopole lens. in Nuclear Technology and Radiation Protection. 2018;33(4):347-355. doi:10.2298/NTRP180910008T .
Telečki, Igor N., Grujović-Zdolšek, Sanja M., Petrović, Srđan M., "Spatial rainbows and catastrophes in transmission of protons through electrostatic octopole lens" in Nuclear Technology and Radiation Protection, 33, no. 4 (2018):347-355, https://doi.org/10.2298/NTRP180910008T . .