Intrinsic localized modes in photonic crystal circuits

A discussion of intrinsic localized modes (ILMs) in photonic crystals is given. Emphasis is placed on ILMs in photonic crystal waveguides formed from Kerr nonlinear materials and photonic crystal circuits formed by joining nonlinear photonic crystal waveguides into networks. Work on stationary and propagating ILMs in nonlinear waveguides and waveguide junctions is reviewed. In addition, some discussion is given on the optical bistability of the barrier and junction geometries and on recent results on two-dimensional ILMs in Kerr nonlinear photonic crystals.