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We predict and numerically study supercontinuum generation extending over almost two octaves in planar rib waveguides, with anomalous dispersion at the input wavelength provided by the waveguide contribution. Such planar nonlinear waveguides generating broadband coherent radiation can be intergrated with other components to constitute a building block in intergrated optical circuits.

The nonlinear dynamics of a high-power femtosecond singular pulse in Kerr media are analyzed numerically upon optically induced ionization. We examine the plasma inertia impact to stable propagation of optical vortices. Multifoci behavior of vortices in medium are revealed. Next we numerically demonstrate that inertial character of plasma formation provides a quasi-soliton regime of vortex propagation resistant to symmetry-breaking perturbation.

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Methods of characterization of nanocomposites consisting of semiconductor quantum dots incorporated into a transparent nonlinear dielectric matrix are elaborated. Spectral composition, observation time, and phase-matching conditions for echo-responses excited by two noncollinear pulses are analysed. More specifically, spectral and spatial features of echo signals caused by permanent dipole moments (PDMs) inherent to quantum dots and local field effects in them, as well as by the angular distribution function of the PDM orientations and spatial dispersion of transition dipole moments, are considered.