Analysis of a relativistic ribbon-shaped beam of charged particles moving in crossed fields without allowance for the space charge

Authors: Nasachjov, A.; Shein, A.

Source: Technical Physics, Volume 51, Number 2, January 2006 , pp. 262-267(6)

Publisher: MAIK Nauka/Interperiodica

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It is shown that, when placed in uniform crossed fields, a relativistic charged particle with an initial thermal velocity describes a prolate cycloid. Analytical formulas for the parameters of the relativistic ribbon-shaped beam (velocity straggling, oscillation amplitude, and spatial and time periods) forming in crossed fields are derived without allowance for space charge fields. All the desired parameters can be determined by presetting three initial parameters (beam velocity, magnetic field, and emitting surface area).

Keywords: 41.75.-i

Document Type: Research Article


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Publication date: January 1, 2006

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