TY - JOUR
T1 - Gap vortex solitons in periodic media with quadratic nonlinearity
AU - Hang, Chao
AU - Konotop, Vladimir V.
AU - Malomed, Boris A.
PY - 2009/8/27
Y1 - 2009/8/27
N2 - We explore the existence and stability of two-dimensional spatial gap solitons with embedded vorticity in a bulk medium with the quadratic (χ (2)) nonlinearity and a transverse grating represented by periodic modulation of the refractive index. Gap-vortex solitons (GVSs) can be found in total gaps of the underlying spectra of the fundamental-frequency and second-harmonic waves. We demonstrate the existence of a family of stable GVSs, which are built as four-peak complexes, in the lowest total gap. We also consider dynamical effects, such as self-trapping of GVSs from input beams, and delocalization transitions.
AB - We explore the existence and stability of two-dimensional spatial gap solitons with embedded vorticity in a bulk medium with the quadratic (χ (2)) nonlinearity and a transverse grating represented by periodic modulation of the refractive index. Gap-vortex solitons (GVSs) can be found in total gaps of the underlying spectra of the fundamental-frequency and second-harmonic waves. We demonstrate the existence of a family of stable GVSs, which are built as four-peak complexes, in the lowest total gap. We also consider dynamical effects, such as self-trapping of GVSs from input beams, and delocalization transitions.
UR - https://www.scopus.com/pages/publications/69449104543
U2 - 10.1103/PhysRevA.80.023824
DO - 10.1103/PhysRevA.80.023824
M3 - 文章
AN - SCOPUS:69449104543
SN - 1050-2947
VL - 80
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 2
M1 - 023824
ER -