Abstract

We analyze discrete surface modes in semi-infinite binary waveguide arrays, which can support simultaneously two types of discrete solitons. We demonstrate that the analysis of linear surface states in such arrays provides important information about the existence of nonlinear surface modes and their properties. We find numerically the families of both discrete surface solitons and nonlinear Tamm (gap) states and study their stability properties.

© 2006 Optical Society of America

Discrete solitons and nonlinear surface modes in semi-infinite waveguide arrays

Mario I. Molina, Rodrigo A. Vicencio, and Yuri S. Kivshar
Opt. Lett. 31(11) 1693-1695 (2006)

Spatiotemporal discrete surface solitons in binary waveguide arrays

Dumitru Mihalache, Dumitru Mazilu, Yuri Kivshar, and Falk Lederer
Opt. Express 15(17) 10718-10724 (2007)

Surface multi-gap vector solitons

Ivan L. Garanovich, Andrey A. Sukhorukov, Yuri S. Kivshar, and Mario Molina
Opt. Express 14(11) 4780-4785 (2006)

Observation of discrete gap solitons in binary waveguide arrays

Roberto Morandotti, Daniel Mandelik, Yaron Silberberg, J. Stewart Aitchison, Marc Sorel, Demetrios N. Christodoulides, Andrey A. Sukhorukov, and Yuri S. Kivshar
Opt. Lett. 29(24) 2890-2892 (2004)

Surface optical Bloch oscillations in semi-infinite waveguide arrays

I. D. Chremmos and N. K. Efremidis
Opt. Lett. 37(11) 1892-1894 (2012)