Abstract

We analyze light self-confinement induced by multiple nonlinear resonances in a two-dimensional ${\chi }^{\left(2\right)}$ photonic crystal. With reference to second-harmonic generation in a hexagonal lattice, we show that the system can not only support two-color $(1+1)\mathrm{D}$ solitary waves with enhanced confinement and steering capabilities but also enable novel features such as wavelength-dependent soliton routing.

© 2007 Optical Society of America

Phase matching in nonlinear χ⁽²⁾ photonic crystals

Solomon Saltiel and Yuri S. Kivshar
Opt. Lett. 25(16) 1204-1206 (2000)

Broadband parametric processes in χ⁽²⁾ nonlinear photonic crystals

Matteo Conforti, Fabio Baronio, Martin Levenius, and Katia Gallo
Opt. Lett. 39(12) 3457-3460 (2014)

χ⁽²⁾ semiconductor photonic crystals

Yannick Dumeige, Isabelle Sagnes, Paul Monnier, Petar Vidakovic, Cristelle Mériadec, and Ariel Levenson
J. Opt. Soc. Am. B 19(9) 2094-2101 (2002)

Spatial solitons in nematic liquid crystals: from bulk to discrete

G. Assanto, A. Fratalocchi, and M. Peccianti
Opt. Express 15(8) 5248-5259 (2007)

Soliton multistability as a result of double-resonance wave mixing in ?⁽²⁾ media

Isaac Towers, Rowland Sammut, Alexander V. Buryak, and Boris A. Malomed
Opt. Lett. 24(23) 1738-1740 (1999)