Quadratic nonlinearities in waveguide arrays enable ultra-fast all-optical shaping, switching, and routing of optical pulses, taking advantage of photonic band engineering through periodicity. In particular, the quadratic nonlinearity supports parametric interactions involving fundamental wave (FW) and second-harmonic (SH) modes, which can lead to suppression of spatial signal broadening due to diffraction and formation of self-trapped spatially localized states known as discrete quadratic solitons [1,2]. Recently, efficient parametric nonlinear interactions involving one FW and two different SH modes were demonstrated experimentally [3], and it was found that the beam self-focusing can be suppressed due to a competition between parametric interactions. In this work, we provide a theoretical explanation of this phenomenon through the study of the corresponding soliton solutions. Our analysis identifies the appearance of a threshold for nonlinear self-focusing, which can be selected by varying the wavenumber mismatches, and it also predicts an effective nonlinearity saturation effect.

© 2011 IEEE

PDF Article
More Like This
Discrete solitons with competing second harmonic components in lithium niobate waveguide arrays

Frank Setzpfandt, Andrey A. Sukhorukov, and Thomas Pertsch
NWE17 Nonlinear Optics: Materials, Fundamentals and Applications (NLO) 2011

Semi-Discrete Solitons in Arrays of Quadratically Nonlinear Waveguides

Nicolae C. Panoiu, Richard M. Osgood, and Boris A. Malomed
JWB84 Conference on Lasers and Electro-Optics (CLEO) 2005

Solitons in waveguide arrays with a quadratic nonlinearity

T Peschel, U Peschel, and F Lederer
WL35 International Quantum Electronics Conference (IQEC) 1996


You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
Login to access Optica Member Subscription