Mobility of localized beams in non-homogeneous photonic lattices

Abstract

Waveguide arrays offer enormous potential to design circuit elements essential to fabricate optical devices capable to processing information codified by light. In this work we study the existence and stability of localized beams in one dimensional photonic lattices composed by a Kerr type waveguide array. We analyzed the case where discrete translation symmetry is broken in as much as one of the waveguides lacks a nonlinear response. Specifically, we determined the space of parameters where a coherent and robust mobility across the lattice is achieved. Moreover, we calculate the reflection and transmission coefficients when localized beams interact directly with the impurity, finding that it behaves as a variable filter depending of system parameters. Our results would shed light on develop solutions to keep unaltered information during its transmission within future optical devices.

arXiv comment7 pages, 4 figs

References in corpus (5)

• Creation of discrete solitons and observation of the Peierls-Nabarro barrier in Bose-Einstein Condensates
• Discrete Nonlinear Schrodinger Equations with arbitrarily high order nonlinearities
• Interaction of discrete nonlinear Schrödinger solitons with a linear lattice impurity
• Absolute calibration of the refractive index in photo-induced photonic lattices
• Nonlinear optical lattices with a void impurity