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Gaussian beam evolution in nonlinear inhomogeneous plasma

Published online by Cambridge University Press:  15 January 2014

P. Berczynski ,
Yu. A. Kravtsov  and
V. Tikhonchuk
P. Berczynski*
Affiliation:
Institute of Physics, West Pomeranian University of Technology, Szczecin 70-310, Poland
Yu. A. Kravtsov
Affiliation:
Institute of Physics, Maritime University of Szczecin, Szczecin 70-500, Poland Space Research Institute, Russian Academy of Science, Moscow 117 997, Russia
V. Tikhonchuk
Affiliation:
University Bordeaux – CNRS – CEA, Centre Lasers Intenses et Applications, UMR 5107, 33405 Talence, France
*
†Email address for correspondence: [email protected]
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Abstract

The method of nonlinear complex geometrical optics (NCGO) is proposed in this paper for description of the evolution of a spatially narrow Gaussian beam (GB) in an inhomogeneous nonlinear plasma. NCGO method deals with first-order ordinary differential equations for the complex curvature of the wave front and for GB amplitude and for second-order ordinary differential equation for GB width. Thus, NCGO simplifies the description of GB diffraction and self-focusing effects as compared to the known methods of plasma physics and this way it can be assumed to be attractive and comprehensive approach in problems of plasma heating by electromagnetic waves. Moreover, we demonstrate in this paper some regularity for nonlinear inhomogeneous plasma in the framework of which central ray of a GB is not subjected to nonlinear refraction within NCGO method boundary applicability. On the contrary, the beam width, wave front curvature, and GB amplitude are modified by diffraction and self-focusing processes. General properties of the beam propagation are illustrated with results of numerical modeling for two particular cases: GB diffraction and self-focusing along curvilinear trajectory with torsion in axially symmetric plasma column and GB reflection from nonlinear inhomogeneous plasma layer. We prove in this paper that NCGO is new effective method of plasma physics, which can be applied for improvement of ray tracing techniques and plasma diagnostics.

Type
Papers
Information
Journal of Plasma Physics , Volume 80 , Issue 2 , April 2014 , pp. 197 - 214
Copyright
Copyright © Cambridge University Press 2014 

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References

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