Discrete Diffraction Managed Spatial Solitons

Ziad Musslimani, Applied Math

Motivated by recent experimental observations of anomalous diffraction in linear waveguide array, we propose a novel model governing the propagation of an optical beam in a diffraction managed nonlinear waveguide array. This model supports discrete spatial solitons whose beam width and peak amplitude evolve periodically. A nonlocal integral equation governing the slow evolution of the soliton amplitude is derived and its stationary soliton solutions are obtained.
Ref. M.J. Ablowitz and Z. Musslimani, PRL 87, 254102 (2001).