TY - JOUR
T1 - Spatial quadratic solitons guided by narrow layers of a nonlinear material
AU - Shapira, Asia
AU - Voloch-Bloch, Noa
AU - Malomed, Boris A.
AU - Arie, Ady
PY - 2011/6
Y1 - 2011/6
N2 - We report analytical solutions for spatial solitons supported by layers of a quadratically nonlinear (χ(2)) material embedded into a linear planar waveguide. A full set of symmetric, asymmetric, and antisymmetric modes pinned to a symmetric pair of the nonlinear layers is obtained. The solutions describe a bifurcation of the subcritical type, which accounts for the transition from the symmetric to asymmetric modes. The antisymmetric states (which do not undergo the bifurcation) are completely stable (the stability of the solitons pinned to the embedded layers is tested by means of numerical simulations). Exact solutions are also found for nonlinear layers embedded into a nonlinear waveguide, including the case when the uniform and localized χ(2) nonlinearities have opposite signs (competing nonlinearities). For the layers embedded into the nonlinear medium, stability properties are explained by comparison to the respective cascading limit.
AB - We report analytical solutions for spatial solitons supported by layers of a quadratically nonlinear (χ(2)) material embedded into a linear planar waveguide. A full set of symmetric, asymmetric, and antisymmetric modes pinned to a symmetric pair of the nonlinear layers is obtained. The solutions describe a bifurcation of the subcritical type, which accounts for the transition from the symmetric to asymmetric modes. The antisymmetric states (which do not undergo the bifurcation) are completely stable (the stability of the solitons pinned to the embedded layers is tested by means of numerical simulations). Exact solutions are also found for nonlinear layers embedded into a nonlinear waveguide, including the case when the uniform and localized χ(2) nonlinearities have opposite signs (competing nonlinearities). For the layers embedded into the nonlinear medium, stability properties are explained by comparison to the respective cascading limit.
UR - http://www.scopus.com/inward/record.url?scp=79958843965&partnerID=8YFLogxK
U2 - 10.1364/JOSAB.28.001481
DO - 10.1364/JOSAB.28.001481
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AN - SCOPUS:79958843965
SN - 0740-3224
VL - 28
SP - 1481
EP - 1489
JO - Journal of the Optical Society of America B: Optical Physics
JF - Journal of the Optical Society of America B: Optical Physics
IS - 6
ER -