Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Spatiotemporal dynamics of soliton arrays generated from spatial noise in a planar waveguide with relaxing Kerr nonlinearity

Open Access Open Access

Abstract

Quasi-periodic arrays of bright soliton-like beams are obtained experimentally in the picosecond regime as a result of the transverse modulational instability of a noisy continuous background in a planar CS2 waveguide. For a given propagation length, the array is stable from a laser shot to another and for a wide range of input intensities. The experimental period corresponds to the maximum gain of modulational instability only for the intensity just sufficient for soliton formation. On the other hand the mean period increases with the propagation length. We show by a numerical simulation that the leading edge of the pulse governs the dynamical formation of the array owing to the finite relaxation time of the reorientational Kerr nonlinearity in CS2.

©2002 Optical Society of America

Full Article  |  PDF Article
More Like This
Spatiotemporal behavior of periodic arrays of spatial solitons in a planar waveguide with relaxing Kerr nonlinearity

Cyril Cambournac, Hervé Maillotte, Eric Lantz, John M. Dudley, and Mathieu Chauvet
J. Opt. Soc. Am. B 19(3) 574-585 (2002)

Stability of spatial soliton arrays generated in a noninstantaneous Kerr medium from partially spatiotemporally coherent light

Gil Fanjoux, Eric Lantz, Fabrice Devaux, and Hervé Maillotte
J. Opt. Soc. Am. B 23(6) 1099-1108 (2006)

Spatial modulation instability in a Kerr slab waveguide

Roman Malendevich, Ladislav Jankovic, George Stegeman, and J. Stewart Aitchison
Opt. Lett. 26(23) 1879-1881 (2001)

Supplementary Material (2)

Media 1: MOV (531 KB)     
Media 2: MOV (1225 KB)     

Cited By

Optica participates in Crossref's Cited-By Linking service. Citing articles from Optica Publishing Group journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (7)

Fig. 1.
Fig. 1. Experimental set-up: Excitation of a planar Kerr-like waveguide by an intense, extended, and quasi-plane pulsed TE wave.
Fig. 2.
Fig. 2. Typical experimental results of noise-initiated spatial modulational instability: (a) Output profiles at low input mean intensity (red), and for nonlinear propagation regime (blue), (b) corresponding Fourier spectra.
Fig. 3.
Fig. 3. Experimental images for different intensities and two propagation lengths.
Fig. 4.
Fig. 4. Dashed curve: period of maximum MI gain versus the mean input intensity. Blue circles: measured periods of the spontaneously generated arrays for L = 3 cm and different intensities. Red circles: the same for L = 7 cm. The letters correspond to the images of Fig. 3.
Fig. 5.
Fig. 5. Simulated time-integrated intensity profiles at the output of the 7-cm waveguide for an input mean intensity of 260 MW/cm2 (blue) and 440 MW/cm2 (red).
Fig. 6.
Fig. 6. (544 KB) Evolution of the time-integrated intensity with propagation distance for an input mean intensity of 440 MW/cm2.
Fig. 7.
Fig. 7. (1,255 KB). Spatiotemporal repartition of the intensity for two different lengths of the waveguide and for an input mean intensity of 440 MW/cm2. Movie: evolution of this spatiotemporal repartition with the propagation distance (every 0.5 cm)

Equations (6)

Equations on this page are rendered with MathJax. Learn more.

Δ n ( t ) = 1 τ t n 2 I ( t 1 ) exp ( t 1 t τ ) d t 1 ,
δ = Im { Ω Ω 2 4 β 2 n 2 I 0 n 0 } ,
δ max = β n 2 I 0 / n 0 is obtained at Ω max = ± β 2 n 2 I 0 / n 0 = ± Ω c / 2 .
G = exp ( δ max L ) = constant .
p = K L ,
p ( L = 7 cm ) = 125 μm p ( L = 3 cm ) = 84 μm 7 3 .
Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved