Filamentation patterns in Kerr media vs. beam shape robustness, nonlinear saturation and polarization states

Bergé, Luc; Gouédard, C.; Schjødt-Eriksen, Jens; Ward, H.

doi:10.1016/s0167-2789(02)00740-6

Cited by 75 publications

(59 citation statements)

References 50 publications

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“…This cross-section corresponds to millimeter-range spacing between filaments, under which neighboring optical cells weakly interact. The mutual attraction of filaments located a few mm apart has already been well described [20][21][22][23][24][25]. In our experiments, since we did not focus the beam, neighboring filaments can be expected to emerge in phase since they are issued from the same beam, so that interactions will be mainly attractive.…”

Section: Resultssupporting

confidence: 53%

Saturation of the filament density of ultrashort intense laser pulses in air

et al. 2010

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We experimentally and numerically characterize multiple filamentation of laser pulses with incident intensities of a few TW/cm 2 . Propagating 100 TW laser pulses over 42 m in air, we observe a new propagation regime where the filament density saturates. As also evidenced by numerical simulations in the same intensity range, the total number of filaments is governed by geometric constraints and mutual interactions among filaments rather than by the available power in the beam.

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Section: Resultssupporting

confidence: 53%

Saturation of the filament density of ultrashort intense laser pulses in air

et al. 2010

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“…(54) provides the same value of the saturated intensity I sat = 1/β as Eq. (32) [9].) One can see that our analytical prediction turns out to be in good agrement with results of numerical simulations.…”

Section: Two-term Nonlinearitysupporting

confidence: 70%

Light propagation in media with a highly nonlinear response: An analytical study

Tatarinova

Garcia

2011

Physica D: Nonlinear Phenomena

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The problem of light propagation in highly nonlinear media is studied with the help of a recently introduced systematic approach to the analytical solution of equations of nonlinear optics (2008 Phys. Rev. A 78 021806(R)). Numerous particular cases of media exhibiting hight order nonlinear refractive indexes are considered. We obtain analytical expressions for determining the self-focusing position and new exact expression for calculating the filament intensity. The constructed solutions allowed to revise a so-called self-focusing scaling law, i.e. the functional dependence of the self-focusing position on the initial light peak intensity. It was demonstrated that this dependence is governed by the form of the nonlinear refractive index and not by the laser beam shape at the boundary.

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“…As a consequence, the ratio of the effect of pulses with both polarizations lies close to unity. This result can be understood by considering that circular polarization yields less filaments, 16,17 which are, however, longer and more intense, 18 so that the overall efficiency is little affected.…”

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confidence: 96%

Influence of pulse duration, energy, and focusing on laser-assisted water condensation

Petit¹,

Henin²,

Kasparian³

et al. 2011

Applied Physics Letters

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We investigate the influence of laser parameters on laser-assisted watercondensation in the atmosphere. Pulse energy is the most critical parameter. Nanoparticle generation depends linearly on energy beyond the filamentation threshold. Shorter pulses are more efficient than longer ones with saturation at ∼1.5 ps. Multifilamenting beams appear more efficient than strongly focused ones in triggering the condensation and growth of submicronic particles, while polarization has a negligible influence on the process. The data suggest that the initiation of laser-assisted condensation relies on the photodissociation of the air molecules rather than on their photoionizatio

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Filamentation patterns in Kerr media vs. beam shape robustness, nonlinear saturation and polarization states

Cited by 75 publications

References 50 publications

Saturation of the filament density of ultrashort intense laser pulses in air

Saturation of the filament density of ultrashort intense laser pulses in air

Light propagation in media with a highly nonlinear response: An analytical study

Influence of pulse duration, energy, and focusing on laser-assisted water condensation

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