Small-angle approximation in the description of radiative collective effects within an ultrarelativistic electron bunch

G. Geloni; V.V. Goloviznin; J.I.M. Botman; M.J. Wiel, van der

doi:10.1103/PhysRevE.64.046504

Small-angle approximation in the description of radiative collective effects within an ultrarelativistic electron bunch

G. Geloni, V.V. Goloviznin, J.I.M. Botman, M.J. Wiel, van der

Coherence and Quantum Technology

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Abstract

The problem of the evaluation of radiative collective effects accompanying accelerated motion of a short ultrarelativistic electron bunch in vacuum is considered within the framework of the small-angle approximation; second order expansion in the transverse velocity of electrons is performed in order to obtain an analytical expression for energy spread within the bunch. Comparison with earlier results by other authors shows good agreement.

Original language	English
Pages (from-to)	046504-1/6
Number of pages	6
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	64
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.64.046504
Publication status	Published - 2001

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abstract = "The problem of the evaluation of radiative collective effects accompanying accelerated motion of a short ultrarelativistic electron bunch in vacuum is considered within the framework of the small-angle approximation; second order expansion in the transverse velocity of electrons is performed in order to obtain an analytical expression for energy spread within the bunch. Comparison with earlier results by other authors shows good agreement.",

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AB - The problem of the evaluation of radiative collective effects accompanying accelerated motion of a short ultrarelativistic electron bunch in vacuum is considered within the framework of the small-angle approximation; second order expansion in the transverse velocity of electrons is performed in order to obtain an analytical expression for energy spread within the bunch. Comparison with earlier results by other authors shows good agreement.

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DO - 10.1103/PhysRevE.64.046504

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Small-angle approximation in the description of radiative collective effects within an ultrarelativistic electron bunch

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