On theory of second harmonic generation in 2D nonlinear photonic crystals with arbitrary structures
V.E. EshniyazovDepartment of Physics, National University of Uzbekistan, named after Mirzo Ulugbek, 100095, Tashkent, UzbekistanB. EshchanovDepartment of Physics, National University of Uzbekistan, named after Mirzo Ulugbek, 100095, Tashkent, UzbekistanD.B. YusupovTashkent State Technical University, named after Abu Raikhan Beruni, Universitetskya ul. 2, 100095, TashkentQ.Ya. ErgashevDepartment of Physics, National University of Uzbekistan, named after Mirzo Ulugbek, 100095, Tashkent, UzbekistanU.K. SapaevDepartment of Physics, National University of Uzbekistan, named after Mirzo Ulugbek, 100095, Tashkent, Uzbekistan
ABI
Abstract
Second harmonic generation in 2D nonlinear photonic crystals based on rectangular symmetry with rectangular motifs has been analyzed theoretically. An approximate solution of the spectral response for the second harmonic generation in any designed 2D nonlinear photonic crystal is obtained within the un-depleted pump approximation. Rapid calculation of the temporal profile of multidirectional second harmonic pulse in such nonlinear lattices has been also shown.
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