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Physics of Plasmas / Volume 11 / Issue 2 / ARTICLES / Lasers, Particle Beams, Accelerators, Radiation Generation

Phys. Plasmas 11, 766 (2004); http://dx.doi.org/10.1063/1.1638753 (5 pages)

Envelope equations and conservation laws describing wakefield generation and electron acceleration

R. A. Cairns1, A. Reitsma2, and R. Bingham3

1School of Mathematics and Statistics, University of St. Andrews, North Haugh, St. Andrews Fife, KY16 9SS, United Kingdom
2Department of Physics, University of Strathclyde, John Anderson Building, 107 Rottenrow, Glasgow G4 0NG, United Kingdom
3Rutherford Appleton Laboratory, Chilton, Didcot, Oxon, OX11 0QX, United Kingdom

(Received 1 July 2003; accepted 10 November 2003)

Previous authors have proposed various envelope equations to describe the behavior of an electromagnetic pulse generating a wakefield. In general these retain second-order derivatives, the reason being that the eikonal contains the initial wave frequency. Here it is shown that if the evolution of the wave frequency is followed using ray-tracing equations, a first-order evolution equation is obtained. It can be shown with this formalism that wave action is conserved and the energy lost from the electromagnetic wave can be explicitly accounted for in terms of energy gained by the plasma. The energy balance equations suggest that an electron bunch which will extract energy efficiently from a wakefield can be at least as efficiently accelerated by direct interaction with the electromagnetic pulse. © 2004 American Institute of Physics.

© 2004 American Institute of Physics

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KEYWORDS and PACS

Keywords

plasma light propagation, plasma accelerators, wave equations, plasma-beam interactions

PACS

  • 52.38.Kd

    Laser-plasma acceleration of electrons and ions

  • 52.75.-d

    Plasma devices

  • 52.40.Mj

    Particle beam interactions in plasmas

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.1638753

PUBLICATION DATA

ISSN

1070-664X (print)  
1089-7674 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
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    P. Sprangle, B. Hafizi, J. R. Peñano et al., Phys. Rev. Lett. 85, 5110 (2000).


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