Abstract

We study a waveguide array with an embedded nonlinear saturable impurity. We solve the impurity problem in closed form and find the nonlinear localized modes. Next, we consider the scattering of a small-amplitude plane wave by a nonlinear impurity mode, and discover regions in parameter space where transmission is fully suppressed. We relate these findings with Fano resonances and propose this setup as a means to control the transport of light across the array.

© 2009 Optical Society of America

Fano resonance in quadratic waveguide arrays

Andrey E. Miroshnichenko, Yuri S. Kivshar, Rodrigo A. Vicencio, and Mario I. Molina
Opt. Lett. 30(8) 872-874 (2005)

Trapping of discrete solitons by defects in nonlinear waveguide arrays

Luis Morales-Molina and Rodrigo A. Vicencio
Opt. Lett. 31(7) 966-968 (2006)

Observation of nonlinear surface waves in modulated waveguide arrays

Xinyuan Qi, Ivan L. Garanovich, Zhiyong Xu, Andrey A. Sukhorukov, Wieslaw Krolikowski, Arnan Mitchell, Guoquan Zhang, Dragomir N. Neshev, and Yuri S. Kivshar
Opt. Lett. 34(18) 2751-2753 (2009)

Competing nonlinearities in quadratic nonlinear waveguide arrays

Frank Setzpfandt, Dragomir N. Neshev, Roland Schiek, Falk Lederer, Andreas Tünnermann, and Thomas Pertsch
Opt. Lett. 34(22) 3589-3591 (2009)

Sharp bends in photonic crystal waveguides as nonlinear Fano resonators

Andrey E. Miroshnichenko and Yuri S. Kivshar
Opt. Express 13(11) 3969-3976 (2005)