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A theory of narrow vortex relativistic electron beams with an elliptic section

  • Electron and Ion Optics
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Abstract

Narrow vortex relativistic beams with an elliptic section are considered. The beams propagate along an arbitrary smooth spatial curve in the presence of an external nonuniform magnetic field. A model is proposed for description of such beams in a coordinate frame associated with current tubes. It is shown that, contrary to known results, the axial distributions of the potential and magnetic field and the shape of a beam can be specified independently. Solution of the problem is reduced to integration of a single second-order ordinary differential equation.

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Original Russian Text © V.A. Syrovoi, 2008, published in Radiotekhnika i Elektronika, 2008, Vol. 53, No. 8, pp. 999–1016.

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Syrovoi, V.A. A theory of narrow vortex relativistic electron beams with an elliptic section. J. Commun. Technol. Electron. 53, 946–964 (2008). https://doi.org/10.1134/S1064226908080135

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  • DOI: https://doi.org/10.1134/S1064226908080135

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