PMID: 11909287Mar 23, 2002Paper

Spatial optical solitons in nonlinear photonic crystals

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Andrey A Sukhorukov, Yuri S Kivshar

Abstract

We study spatial optical solitons in a one-dimensional nonlinear photonic crystal created by an array of thin-film nonlinear waveguides, the so-called Dirac-comb nonlinear lattice. We analyze modulational instability of the extended Bloch-wave modes and also investigate the existence and stability of bright, dark, and "twisted" spatially localized modes in such periodic structures. Additionally, we discuss both similarities and differences of our general results with the simplified models of nonlinear periodic media described by the discrete nonlinear Schrödinger equation, derived in the tight-binding approximation, and the coupled-mode theory, valid for shallow periodic modulations of the optical refractive index.

References

Sep 15, 1992·Physical Review. a·Y S Kivshar, M Peyrard
Oct 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·Y S Kivshar, D K Campbell
Jan 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A B AcevesS Wabnitz
Jan 12, 1987·Physical Review Letters·W Chen, D L Mills
Apr 10, 1989·Physical Review Letters·D N Christodoulides, R I Joseph
Sep 6, 2000·Physical Review Letters·H S EisenbergJ S Aitchison
Oct 14, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·F BarraS Rica
Apr 6, 2001·Physical Review Letters·A Trombettoni, A Smerzi
Apr 17, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A A SukhorukovC M Soukoulis
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P G KevrekidisK Ø Rasmussen
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T KapitulaB A Malomed
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J C BronskiK Promislow
May 1, 2001·Physical Review Letters·R MorandottiJ S Aitchison
Jun 21, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·I Alvarado-RodriguezA S Sánchez
Jun 21, 2001·Physical Review Letters·S F Mingaleev, Y S Kivshar
Aug 4, 2001·Science·F S CataliottiM Inguscio
Aug 11, 2001·Physical Review Letters·A A Sukhorukov, Y S Kivshar
Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J C BronskiK Promislow
Jul 16, 2001·Optics Express·S Mookherjea, A Yariv
Sep 1, 1988·Optics Letters·D N Christodoulides, R I Joseph
Jul 15, 1993·Optics Letters·H Grebel, W Zhong
Jul 15, 1993·Optics Letters·Y S Kivshar
Oct 1, 1993·Optics Letters·R F NabievD Botez

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Citations

Mar 21, 2005·Optics Express·Zhigang ChenJianke Yang
May 16, 2003·Optics Letters·Dragomir NeshevWieslaw Krolikowski
Feb 3, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E V DoktorovV M Rothos
Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mark J Ablowitz, Ziad H Musslimani
Jul 13, 2004·Physical Review Letters·Damià GomilaGian-Luca Oppo
Nov 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dmitry E PelinovskyYuri S Kivshar
Oct 30, 2008·Optics Express·Kyriakos HizanidisNikolaos K Efremidis
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hadi Susanto, Magnus Johansson
Oct 4, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jianhua Zeng, Boris A Malomed
Jun 24, 2017·Scientific Reports·S A M Saddam Chowdhury, Javid Atai
Aug 19, 2011·Optics Letters·Olga V BorovkovaLluis Torner
Aug 9, 2017·Optics Express·Vitaly Lutsky, Boris A Malomed
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Panayotis G KevrekidisAlexander S Kovalev
Nov 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jesús CuevasP G Kevrekidis
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Weina CuiSumei Liu
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E M NascimentoI N de Oliveira
Nov 13, 2003·Physical Review Letters·Anton S DesyatnikovCornelia Denz
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Y Kominis

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