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Spatial quadratic solitons guided by narrow layers of a nonlinear material
 

Summary: Spatial quadratic solitons guided by narrow
layers of a nonlinear material
Asia Shapira,* Noa Voloch-Bloch, Boris A. Malomed, and Ady Arie
Department of Physical Electronics, School of Electrical Engineering, Tel Aviv University, Tel Aviv 69978, Israel
*Corresponding author: asiasapi@post.tau.ac.il
Received February 7, 2011; revised April 16, 2011; accepted April 19, 2011;
posted April 19, 2011 (Doc. ID 142374); published May 19, 2011
We report analytical solutions for spatial solitons supported by layers of a quadratically nonlinear (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 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. 2011 Optical Society of America
OCIS codes: 190.5530, 190.4350, 190.4410.
1. INTRODUCTION
The use of composite materials and engineered optical media

  

Source: Arie, Ady - Department of Electrical Engineering-Physical Electronics, Tel Aviv University

 

Collections: Engineering