Generation of harmonics by a focused laser beam in vacuum

Details Generation of harmonics by a focused laser beam in vacuum Generation of harmonics by a focused laser beam in vacuum

2006-04-27

arxiv.org/abs/hep-ph/0604258v2

Phys.Lett.A362:1-5,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 3 figures. Added comparison with the probability of SHG in the crossed beam setup, several abridgments made

Scientific paper

10.1016/j.physleta.2006.09.085

Generation of odd harmonics by a super strong focused laser beam in vacuum is considered. The process occurs due to the plural light-by-light scattering effect. In the leading order of perturbation theory, generation of $(2k+1)$th harmonic is described by a loop diagram with $(2k+2)$ external incoming, and two outgoing legs. A frequency of the beam is assumed to be much smaller than the Compton frequency, so that the approximation of a constant uniform electromagnetic field is valid locally. Analytical expressions for angular distribution of generated photons, as well as for their total emission rate are obtained in the leading order of perturbation theory. Influence of higher-order diagrams is studied numerically using the formalism of Intense Field QED. It is shown that the process may become observable for the beam intensity of the order of $10^{27}\rm{W/cm}^2$.

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