NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2015, 6 (6), P. 779-785
On theory of second harmonic generation in 2D nonlinear photonic crystals with arbitrary structures
V. E. Eshniyazov – Department of Physics, National University of Uzbekistan, named after Mirzo Ulugbek, 100095, Tashkent, Uzbekistan
B. Kh. Eshchanov – Department of Physics, National University of Uzbekistan, named after Mirzo Ulugbek, 100095, Tashkent, Uzbekistan
D. B. Yusupov – Tashkent State Technical University, named after Abu Raikhan Beruni, Universitetskya ul. 2, 100095, Tashkent
Q.Ya. Ergashev – Tashkent State Technical University, named after Abu Raikhan Beruni, Universitetskya ul. 2, 100095, Tashkent
U. K. Sapaev – Department of Physics, National University of Uzbekistan, named after Mirzo Ulugbek, 100095, Tashkent, Uzbekistan; usapaev@gmail.com
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 pro le of multidirectional second harmonic pulse in such nonlinear lattices has been also shown.
Keywords: 2D nonlinear photonic crystals, second harmonic generation, frequency conversion, quasi-phase matching, arbitrary domain structures, linearly chirped domain structures, randomly sized domain structures.
PACS 42.65.Ky
DOI 10.17586/2220-8054-2015-6-6-779-785