Self-focusing of wave packets and envelope shock formation in nonlinear dispersive media |
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Authors: | N A Zharova A G Litvak V A Mironov |
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Institution: | (1) Institute of Applied Physics, Russian Academy of Sciences, Nizhni Novgorod, 603950, Russia |
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Abstract: | The self-action of three-dimensional wave packets is analyzed analytically and numerically under the conditions of competing diffraction, cubic nonlinearity, and nonlinear dispersion (dependence of group velocity on wave amplitude). A qualitative analysis of pulse evolution is performed by the moment method to find a sufficient condition for self-focusing. Self-action effects in an electromagnetically induced transparency medium (without cubic nonlinearity) are analyzed numerically. It is shown that the self-focusing of a wave packet is accompanied by self-steepening of the longitudinal profile and envelope shock formation. The possibility of envelope shock formation is also demonstrated for self-focusing wave packets propagating in a normally dispersive medium. |
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