TY - JOUR
T1 - Spatial optical solitons in nonlinear photonic crystals
AU - Sukhorukov, Andrey A.
AU - Kivshar, Yuri S.
PY - 2002
Y1 - 2002
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=37649031292&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.65.036609
DO - 10.1103/PhysRevE.65.036609
M3 - Article
SN - 2470-0045
VL - 65
JO - Physical Review E
JF - Physical Review E
IS - 3
ER -