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Simplified equations for investigation of charged-particle dynamics in magnetic fields
Authors:V V Kashkovskii
Abstract:A system of motion equations presented for charged particles in betatron magnetic fields makes it possible to conduct all particle dynamics calculations in relative units because the particle velocity components are expressed in terms of trajectory geometry using comparatively simple notation, and the conversion from relative to absolute units is easily carried out in terms of the radius of a fixed orbit and the magnetic induction of the field on it. This equation system has been used successfully to investigate particle dynamics in an electron beam extracted from a betatron and to determine the principal parameters of the beam; the results were confirmed in practice. Tomsk Polytechnic University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 29–35, March, 1998.
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