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Focusing and defocusing of the nonlinear paraxial equation at laser–plasma interaction

Published online by Cambridge University Press:  02 March 2001

F. OSMAN
Affiliation:
Department of Physics, University of Western Sydney, Macarthur, P.O. Box 555 Campbelltown 2560, Australia
R. CASTILLO
Affiliation:
Department of Physics, University of Western Sydney, Macarthur, P.O. Box 555 Campbelltown 2560, Australia
H. HORA
Affiliation:
Department of Theoretical Physics, University of New South Wales, Sydney 2052, Australia

Abstract

This paper presents a numerical and theoretical study of the generation and propagation of oscillation in the semiclassical limit τ → 0 of the nonlinear paraxial equation at laser–plasma interaction. In a general setting of both dimension and nonlinearity, the essential differences between the focusing and defocusing cases is identified due to the nonlinearity, and dispersion effects involved in the propagation of solitons at laser plasma interaction. A sequence of codes has been developed in mathematics to explore the focusing and defocusing of the soliton formation and propagation.

Type
Research Article
Copyright
© 2000 Cambridge University Press

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