Electromagnetic Beam Breakup: Multiple Filaments, Single Beam Equilibria, and Radiation
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Abstract:
In the framework of the nonlinear Schr\"odinger equation, the radiation aspect of self-focusing in two transverse dimensions appears to be (together with self-trapped propagation) an essential part of any self-focusing process. The final beamlets created in multiple filamentation are shown to be very close to canonical solitonlike solutions. This fact is used to establish an upper bound on the amount of radiation emitted. From this a parameter is defined which proves to be useful to characterize the self-focusing behavior as a function of the initial conditions.Keywords:
Filamentation
Self-focusing
Filamentation
Self-focusing
Collimated light
Aperture (computer memory)
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We study numerically and experimentally the propagation of pulsed singular beams, including dark crosses and optical vortices, in self-focusing nonlinear media, resulting in filamentation and supercontinuum generation. Our results show that the singular beams survive the process of modulation instability and appear well preserved in both the near and far field.
Supercontinuum
Filamentation
Self-focusing
Self-phase modulation
Nonlinear medium
Optical vortex
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Filamentation
Self-focusing
Ponderomotive force
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Abstract The beam self-cleaning phenomenon is theoretically predicted by the two-dimensional nonlinear Schrödinger equation, which describes self-focusing, and is observed in the case of femtosecond laser filamentation in the collimated regime of propagation. However, the impact of external focusing on the self-cleaning has not been investigated so far. In this paper we systematically study this impact in a wide range of focusing conditions. We show that the energy range, in which self-cleaning can be observed, shrinks monotonically with the numerical aperture growth at some point vanishing at all.
Filamentation
Self-focusing
Collimated light
Aperture (computer memory)
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A parallel code,with fully three-dimensional nonlinear hydrodynamics coupled with light wave propagation,is implemented to study mechanism of laser beam self-focusing and filamentation instability as high intensity laser propagates in a large size underdense plasma.Numerical method and parallel algorithms are introduced.
Filamentation
Self-focusing
Beam propagation method
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Filamentation
Self-focusing
Modulational Instability
Relativistic plasma
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Filamentation
Supercontinuum
Self-focusing
Self-phase modulation
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The filamentation of femtosecond pulses has attracted significant attention, owing to its unique characteristics and related applications. The self-focusing critical power of femtosecond pulses is one of the key parameters in the filamentation process and its application. However, the experimental determination of this power remains a challenging task. In this study, we propose an experimental approach to investigating the critical power for self-focusing of both femtosecond Gaussian and vortex beams with relatively low topological charges by analyzing the changes in the focal spot at different propagation distances. Our work offers a practical and convenient method for determining the self-focusing critical power of femtosecond pulses.
Filamentation
Self-focusing
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