6A1 - A new class of trapped light filaments

Chiao, Raymond Y.; Johnson, Matt R.; Krinsky, S.; Smith, Henry I.; Townes, C. H.; Garmire, E.

doi:10.1109/jqe.1966.1074117

Cited by 79 publications

(15 citation statements)

References 8 publications

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“…In both Eqs. (21) and (24) Indeed, we note that if we use the vector Helmholtz equation in the form (1) instead of (14) in the derivation in Appendix B, then the perturbation analysis will lead to Eq. (24), rather than to Eq.…”

Section: Consistency Of Eqs (21) and (24)mentioning

confidence: 99%

“…In self-focusing experiments, a sufficiently intense laser beam can break-up into several long and narrow filaments, a phenomenon known as multiple filamentation [1,3,[7][8][9]11,12,14,15,28,30,[36][37][38]. According to the NLS model, however, if the input beam is cylindrically symmetric, then the beam should remain cylindrically symmetric during propagation.…”

Section: Vectorial Effects and Multiple Filamentationmentioning

confidence: 99%

“…According to the NLS model, beams with cylindrically symmetric input profile should remain cylindrically symmetric during propagation. However, self-focusing experiments in solids, liquids, and gases have shown that catastrophic self-focusing is often preceded by multiple filamentation, 1 in which a single input beam breaks-up into several long and narrow filaments [1,3,7,8,[10][11][12]14,15,28,30,[36][37][38]. Therefore, a self-focusing model should include a mechanism that breaks-up the cylindrical symmetry and leads to multiple filamentation.…”

Section: Introductionmentioning

confidence: 99%

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Vectorial and random effects in self-focusing and in multiple filamentation

Fibich

Ilan

2001

Physica D: Nonlinear Phenomena

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The standard explanation for multiple filamentation of laser beams is that breakup of cylindrical symmetry is initiated by noise in the input beam. In this study we propose an alternative deterministic explanation based on vectorial effects. We derive a scalar equation from the vector Helmholtz equation that describes self-focusing in the presence of vectorial and nonparaxial effects. Numerical simulations of the scalar equation show that when the input beam is sufficiently powerful, vectorial effects lead to multiple filamentation. We compare multiple filamentation due to vectorial effects with the one due to noise, and suggest how to decide which of the two leads to multiple filamentation in experiments. We also show that vectorial effects and nonparaxiality have the same effect on self-focusing of a single filament, leading to the arrest of catastrophic collapse, followed by focusing-defocusing oscillations. The magnitude of vectorial effects is, however, significantly larger than that of nonparaxiality.

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Section: Consistency Of Eqs (21) and (24)mentioning

confidence: 99%

Section: Vectorial Effects and Multiple Filamentationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Vectorial and random effects in self-focusing and in multiple filamentation

Fibich

Ilan

2001

Physica D: Nonlinear Phenomena

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“…In the earlier theoretical works [3][4][5][6][7] the point of view was expressed that steady-state light waveguides would arise in a powerful light beam propagating in a non-linear medium . The interpretation of the earlier experimental results [8][9][10] on the observation of thin light filaments in transparent liquid and solid dielectrics was based on the waveguide point of view .…”

Section: Introductionmentioning

confidence: 99%

On the Theory of Light Beam Propagation in Non-linear Media

1976

Optica Acta: International Journal of Optics

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The propagation of two (laser and Stokes) light beams in a medium which is non-linear due to the dependence of the refractive index on the light intensity and simultaneously Raman active is considered. Numerical solutions of the problem describing different types of multifoci structure in the beams (an independent multifoci structure in a laser beam accompanied by a secondary subsequence of 'weak' foci in a Stokes beam ; a `mixed ' multifoci structure of the beams ; an independent multifoci structure in a Stokes beam) are obtained . A low stability of the propagation pattern of the beams with respect to external perturbations is discovered in the finite range of the parameters of the problem and a qualitative explanation of this phenomenon is proposed .

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“…Unlike the case of beam filamentation [11,12], the relative phase of the signal and pump beams is under experimental control. For the optimal choice of ∆k as above, the signal beam gain is maximized for the phase relation…”

mentioning

confidence: 99%

Weak-wave advancement in nearly collinear four-wave mixing

McCormick¹,

Chiao²,

Hickmann³

2002

Opt. Express

Self Cite

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We identify a new four-wave mixing process in which two nearly collinear pump beams produce phasedependent gain into a weak bisector signal beam in a self-defocusing Kerr medium. Phase matching is achieved by weak-wave advancement caused by cross-phase modulation between the pump and signal beams. We relate this process to the inverse of spatial modulational instability and suggest a time-domain analog. * Electronic address: hickmann@loqnl.ufal.br 1

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6A1 - A new class of trapped light filaments

Cited by 79 publications

References 8 publications

Vectorial and random effects in self-focusing and in multiple filamentation

Vectorial and random effects in self-focusing and in multiple filamentation

On the Theory of Light Beam Propagation in Non-linear Media

Weak-wave advancement in nearly collinear four-wave mixing

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