Abstract
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 ArticleMore Like This
Frank Setzpfandt, Andrey A. Sukhorukov, and Thomas Pertsch
NWE17 Nonlinear Optics: Materials, Fundamentals and Applications (NLO) 2011
Nicolae C. Panoiu, Richard M. Osgood, and Boris A. Malomed
JWB84 Conference on Lasers and Electro-Optics (CLEO:S&I) 2005
T Peschel, U Peschel, and F Lederer
WL35 International Quantum Electronics Conference (IQEC) 1996