Nonlinear solution for optimal shaping of the driving electron beam in the plasma wake-field accelerator

1 August 1988

journal article
research article
Published by American Physical Society (APS) in Physical Review A

Vol. 38 (3) , 1490-1494
https://doi.org/10.1103/physreva.38.1490

Abstract

We report a nonlinear analytical solution for optimal shaping of the driving electron beam in the plasma wake-field accelerator. The upper bound of the transformer ratio is

R_{u}

=[1+(2π

L_{b}

λ_{p}

)^{2}

]^{1 / 2}

, where

L_{b}

is the length of the driving electron beam,

λ_{p}

≊2πc/

ω_{p}

, and

ω_{p}

is the plasma frequency.

Keywords

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