Stable propagation of pulsed beams in Kerr focusing media with modulated dispersion

Rodas-Verde, María I.; Michinel, Humberto; Montesinos, Gaspar D.; Pérez-Garcı́a, Vı́ctor M.

doi:10.1117/12.667167

Cited by 2 publications

(2 citation statements)

References 14 publications

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“…The most important problem associated with such structures in more than one dimension is their instability due to the existence of collapse [3]. Also it has not been possible to observe such spatiotemporal solitons in 3D (in bulk) [4] or in 2D (in planar wave guide) [5] experimentally. Though some experimental evidence has been obtained in 3D crystals with χ (2) nonlinearity [6].…”

Section: Introductionmentioning

confidence: 99%

On a Study of Diffraction and Dispersion Managed Soliton in a Cylindrical Media

Ballav¹,

Chowdhury²

2006

PIER

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Abstract-Analytical and numerical techniques are developed for the analysis of the solitary pulse propagation in a cylindrical media, where both the dispersion and diffraction management are known to exist. In the first part we treat the situation when there is no diffraction management by a simple analytical approach and show that it is possible to control both spatial and temporal width over one period of the dispersion map. An important out put of our analytical treatment is that we can predict the value of length of the second link and the amount of group velocity dispersion there if the initial conditions are given. Unfortunately since the spatial chirp can not be controlled, the treatment can not be repeated a second time. So for a long distance propagation a different treatment in needed. We then show that for long period of transmission, it is necessary to introduce diffraction management term, the best form turns out to be periodic function of the distanced travelled. The detailed variation of spatial and temporal width, chirp, and amplitude are explicitly given.

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Section: Introductionmentioning

confidence: 99%

On a Study of Diffraction and Dispersion Managed Soliton in a Cylindrical Media

Ballav¹,

Chowdhury²

2006

PIER

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“…[17] and review [18]. A 2D generalization of the DM scheme was recently proposed, assuming a layered planar waveguide of this type, uniform in the transverse direction [19,20]. As a result, large stability regions for the 2D spatiotemporal solitons were identified, including double-peaked breathers; however, a 3D version of the same model could not give rise to any stable soliton [19].…”

Section: Introductionmentioning

confidence: 99%

Stabilization of three-dimensional light bullets by a transverse lattice in a Kerr medium with dispersion management

Matuszewski

Infeld

Malomed

et al. 2006

Optics Communications

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We demonstrate a possibility to stabilize three-dimensional spatiotemporal solitons ("light bullets") in self-focusing Kerr media by means of a combination of dispersion management in the longitudinal direction (with the group-velocity dispersion alternating between positive and negative values) and periodic modulation of the refractive index in one transverse direction, out of the two. The analysis is based on the variational approximation (results of direct three-dimensional simulations will be reported in a follow-up work). A predicted stability area is identified in the model's parameter space. It features a minimum of the necessary strength of the transverse modulation of the refractive index, and finite minimum and maximum values of the soliton's energy. The former feature is also explained analytically.

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Stable propagation of pulsed beams in Kerr focusing media with modulated dispersion

Cited by 2 publications

References 14 publications

On a Study of Diffraction and Dispersion Managed Soliton in a Cylindrical Media

On a Study of Diffraction and Dispersion Managed Soliton in a Cylindrical Media

Stabilization of three-dimensional light bullets by a transverse lattice in a Kerr medium with dispersion management

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