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Proceedings Paper

Application of solitons to the study of laser propagation into a thermonuclear plasma in the inertial confinement fusion
Author(s): J. F. Miramar Blazquez
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Paper Abstract

In this work we study the laser propagation in a thermonuclear plasma corresponding to implosion of Deuterium-Tritium pellets in the Inertial Confinement Fusion, by injecting energy provided by high power laser devices into a quiescent plasma and generating solitons. Having in mind that the electric field inside of plasma can be studied by means of a particular Non Linear Schrodinger Equation, we solve this equation as an inverse problem using the Inverse Scattering Transform method, that is a 2 by 2 eigenvalue problem, known as AKNS scheme, developed by Ablovitz, Kamp, Newell and Shabat. We obtain the pseudo potentials q and r if we suppose that the eigenvalue is invariant in time, and is representative of wave eigenvector, obtaining a solution that has a structure of soliton type. In the process, one change of variable for space and another for time are applied, and the relation between the pseudo potentials is given by r equals -q. Discretization of Non Linear Schrodinger Equation, solved by Inverse Scattering Transform are give by Ablovitz et al. These solitons are generated near critical layer where w0 approximately equals wp, being w0 the laser frequency and wp the plasma frequency, exhibit a change in electronic density profile and are caused by ponderomotive force of laser radiation. The electronic density is a function of mean square of electric field. The dispersion relation is representative of an inhomogeneous plasma. Finally, the electric field is obtained as a function of space and time, showing a structure of soliton type.

Paper Details

Date Published: 23 April 2001
PDF: 4 pages
Proc. SPIE 4424, ECLIM 2000: 26th European Conference on Laser Interaction with Matter, (23 April 2001); doi: 10.1117/12.425595
Show Author Affiliations
J. F. Miramar Blazquez, Univ. de Zaragoza (Spain)

Published in SPIE Proceedings Vol. 4424:
ECLIM 2000: 26th European Conference on Laser Interaction with Matter
Milan Kalal; Karel Rohlena; Milan Sinor, Editor(s)

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