49 research outputs found

    Generation and control of extreme-blue shifted continuum peaks in optical Kerr media

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    We demonstrate tunable, extremely blueshifted continuum in \u3bb=1.055 \u3bcm ultrashort laser pulse filamentation in silica. Close to threshold, the continuum appears as a single, isolated blue peak. The spectral position of the two supercontinuum components can be tuned and a regime with encompassing fundamental and second harmonic is possible to achieve. At higher energies, the continuum expands in bandwidth starting from the blue peak. The spectral dynamics and tunability are explained in terms of X-wave generation and intrafilament pulse splitting which may be controlled by modifying the input pulse focusing conditions

    A model for interacting instabilities and texture dynamics of patterns

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    A simple model to study interacting instabilities and textures of resulting patterns for thermal convection is presented. The model consisting of twelve-mode dynamical system derived for periodic square lattice describes convective patterns in the form of stripes and patchwork quilt. The interaction between stationary zig-zag stripes and standing patchwork quilt pattern leads to spatiotemporal patterns of twisted patchwork quilt. Textures of these patterns, which depend strongly on Prandtl number, are investigated numerically using the model. The model also shows an interesting possibility of a multicritical point, where stability boundaries of four different structures meet.Comment: 4 pages including 4 figures, page width revise

    Interaction of two modulational instabilities in a semiconductor resonator

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    The interaction of two neighboring modulational instabilities in a coherently driven semiconductor cavity is investigated. First, an asymptotic reduction of the general equations is performed in the limit of a nearly vertical input-output characteristic. Next, a normal form is derived in the limit where the two instabilities are close to one other. An infinity of branches of periodic solutions are found to emerge from the unstable portion of the homogeneous branch. These branches have a nontrivial envelope in the bifurcation diagram that can either smoothly join the two instability points or form an isolated branch of solutions

    Temporal fluctuations of waves in weakly nonlinear disordered media

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    We consider the multiple scattering of a scalar wave in a disordered medium with a weak nonlinearity of Kerr type. The perturbation theory, developed to calculate the temporal autocorrelation function of scattered wave, fails at short correlation times. A self-consistent calculation shows that for nonlinearities exceeding a certain threshold value, the multiple-scattering speckle pattern becomes unstable and exhibits spontaneous fluctuations even in the absence of scatterer motion. The instability is due to a distributed feedback in the system "coherent wave + nonlinear disordered medium". The feedback is provided by the multiple scattering. The development of instability is independent of the sign of nonlinearity.Comment: RevTeX, 15 pages (including 5 figures), accepted for publication in Phys. Rev.

    THEORY OF NONLINEAR WAVEGUIDES : STATIONARY AND PROPAGATING WAVES

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    On donne un aperçu sur les techniques d'obtention des solutions d'ondes guidée non linéaires et stationnaires, et d'ondes de surface dans les ondes guidées diélectriques, ainsi que détermination de leurs propriétés d'instabilité et l'étude des caractéristiques de propagation.Techniques for obtaining stationary nonlinear guided and surface wave solutions in dielectric waveguides, determining their stability properties and investigating global propagation characteristics will be overviewed

    PROPAGATION AND STABILITY CHARACTERISTICS OF NONLINEAR GUIDED WAVES IN SATURABLE NONLINEAR MEDIA

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    Stability of nonlinear guided waves is determined through composite phase portait construction and numerical analysis. Global propagation characteristics are interpreted in terms of equivalent particle dynamics
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