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We report and discuss analytical solutions of the vector nonlinear Schrödinger equation that describe rogue waves in the defocusing regime. This family of solutions includes bright-dark and dark-dark rogue waves. The link between modulational instability (MI) and rogue waves is displayed by showing that only a peculiar kind of MI, namely baseband MI, can(More)
We demonstrate experimentally the existence of three-wave resonant interaction solitary triplets in quadratic media. Stable velocity-locked bright-dark-bright spatial solitary triplets, determined by the balance between the energy exchange rates and the velocity mismatch between the interacting waves, are excited in a KTP crystal.
We introduce a novel family of analytic solutions of the three-wave resonant interaction equations for the purpose of modeling unique events, i.e., "amplitude peaks" which are isolated in space and time. The description of these solutions is likely to be a crucial step in the understanding and forecasting of rogue waves in a variety of multicomponent wave(More)
Photonics enables to develop simple lab experiments that mimic water rogue wave generation phenomena, as well as relativistic gravitational effects such as event horizons, gravitational lensing and Hawking radiation. The basis for analog gravity experiments is light propagation through an effective moving medium obtained via the nonlinear response of the(More)
We derive unidirectional pulse propagation equations to describe extreme high-intensity and ultra-broadband optical interactions in uniaxial crystals, showing both second-and third-order nonlinear optical susceptivities. Two nonlinearly coupled first order (in the propagation coordinate) equations describe the dynamics and interactions of the ordinary and(More)
Stimulated Raman scattering was investigated in potassium titanyl phosphate. A broadband Raman cascade was generated between 1086 nm and 1250 nm. A detailed discussion is given about spatial and temporal distortions of Raman-scattered light.
We experimentally study spatio-temporal nonlinear dynamics in periodically poled lithium niobate crystal. We discuss broadband frequency conversion by modulation instability through cascading second harmonic generation under self-defocusing regime. Measurements agree well with numerical simulations.
The spectral theory of the integrable partial differential equations which model the resonant interaction of three waves is considered with the purpose of numerically solving the direct spectral problem for both vanishing and non vanishing boundary values. Methods of computing both the continuum spectrum data and the discrete spectrum eigenvalues are given(More)
We observed spatial addressing of light by bidirectional spatial emission of beams at a quadratically nonlinear interface in periodically poled lithium niobate waveguides. The interface consisted of the boundary between two quasi-phase-matched regions with different poling period. We show the intensity and phase-mismatch (temperature or wavelength)(More)
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