Geodesic
On theory of second harmonic generation in 2D nonlinear photonic crystals with arbitrary structures
Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 6, pp. 779-785.

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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.
Keywords: 2D nonlinear photonic crystals, second harmonic generation, frequency conversion, quasi-phasematching, arbitrary domain structures, linearly chirped domain structures, randomly sized domain structures. 
@article{NANO_2015_6_6_a6,
     author = {V. E. Eshniyazov and B. Kh. Eshchanov and D. B. Yusupov and Q. Ya. Ergashev and U. K. Sapaev},
     title = {On theory of second harmonic generation in {2D} nonlinear photonic crystals with arbitrary structures},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {779--785},
     publisher = {mathdoc},
     volume = {6},
     number = {6},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2015_6_6_a6/}
}
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V. E. Eshniyazov; B. Kh. Eshchanov; D. B. Yusupov; Q. Ya. Ergashev; U. K. Sapaev. On theory of second harmonic generation in 2D nonlinear photonic crystals with arbitrary structures. Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 6, pp. 779-785. http://geodesic.mathdoc.fr/item/NANO_2015_6_6_a6/