Wave Propagation in Nonlinear Periodic Media


Ziad Musslimani, Mark Ablowitz

University of Colorado


I will discuss wave propagation in nonlinear waveguide array in the presence of normal and anomalous diffraction. Novel model governing the propagation of an optical beam in a diffraction managed nonlinear waveguide array is proposed. A nonlocal integral equation governing the slow evolution of the beam amplitude is derived. Two novel numerical schemes are proposed to construct soliton solutions for both the integral equation as well as for the original model.