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Femtosecond pulse shaping via engineered nonlinear photonic crystals

У. К. СапаевDepartment of Physics, National University of Uzbekistan, named after M. Ulugbek, 100174 Tashkent, UzbekistanV.E. EshniyazovDepartment of Physics, National University of Uzbekistan, named after M. Ulugbek, 100174 Tashkent, UzbekistanB. EshchanovDepartment of Physics, National University of Uzbekistan, named after M. Ulugbek, 100174 Tashkent, UzbekistanD. B. YusupovTashkent State Technical University , Universitetskaya ul. 2 Tashkent, 100095 Uzbekistan
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Non-stationary second harmonic generation by femtosecond pulses, taking into account both group velocity mismatch and dispersion in nonlinear photonic crystals (quasi-phase matched crystals) with domains of arbitrary sizes has been studied numerically. A simulated-annealing algorithm, working on the basis of numerical calculation, is developed to design quasi-phase matching gratings which can yield the desired amplitude and phase profile for second-harmonic pulses in the presence of pump depletion.

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