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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 10 — May. 14, 2007
  • pp: 6053–6061

Electron wave-packet dynamics in a relativistic electromagnetic field: 3-D analytical approximation

J. Peatross, C. Müller, and C. H. Keitel  »View Author Affiliations

Optics Express, Vol. 15, Issue 10, pp. 6053-6061 (2007)

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A solution to the Klein Gordon equation for a laser-driven electron is constructed from a superposition of Volkov states. The time-and space-dependent three-dimensional superposition integral can be evaluated analytically for an initial Gaussian momentum distribution when the expression for relativistic energy is expanded in a Taylor series over the scaled initial momenta. The solution preserves many complicated wave-packet dynamics in a strong field, including so-called wave-packet shearing and the formation of multiple peaks when the wave packet spreads to the scale of the driving-field wavelength. The range of applicability of the solution applies to much of the parameter space accessible by current intense ultra-short laser systems.

© 2007 Optical Society of America

OCIS Codes
(000.1600) General : Classical and quantum physics
(270.6620) Quantum optics : Strong-field processes

ToC Category:
Quantum Optics

Original Manuscript: January 29, 2007
Revised Manuscript: March 28, 2007
Manuscript Accepted: April 1, 2007
Published: May 2, 2007

J. Peatross, C. Müller, and C. H. Keitel, "Electron wave-packet dynamics in a relativistic electromagnetic field: 3-D analytical approximation," Opt. Express 15, 6053-6061 (2007)

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