Spatial quadratic solitons guided by narrow layers of a nonlinear material

Asia Shapira*, Noa Voloch-Bloch, Boris A. Malomed, Ady Arie

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)1481-1489
Number of pages9
JournalJournal of the Optical Society of America B: Optical Physics
Volume28
Issue number6
DOIs
StatePublished - Jun 2011

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