Solutions of the nonlinear paraxial equation due to laser plasma interactions

Frederick Osman, Robert Beech, Heinrich Hora

    Research output: Contribution to journalArticle

    Abstract

    This article presents a numerical and theoretical study of the generation and propagation of oscillation in the semiclassical limit h [rightward arrow] 0 of the nonlinear paraxial equation. In a general setting of both dimension and nonlinearity, the essential differences between the ââ"šÂ¬Ã…"defocusingââ"šÂ¬Ã‚ and ââ"šÂ¬Ã…"focusingââ"šÂ¬Ã‚ cases are observed. Numerical comparisons of the oscillations are made between the linear (ââ"šÂ¬Ã…"freeââ"šÂ¬Ã‚Â) and the cubic (defocusing and focusing) cases in one dimension. The integrability of the one-dimensional cubic nonlinear paraxial equation is exploited to give a complete global characterization of the weak limits of the oscillations in the defocusing case.
    Original languageEnglish
    Number of pages5
    JournalLaser and Particle Beams
    Publication statusPublished - 2004

    Keywords

    • laser-plasma interactions
    • nonlinear paraxial equation
    • oscillations
    • wave propagation

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