Abstract
We analyze two-color spatially localized nonlinear modes formed by parametrically coupled fundamental and second-harmonic fields excited at quadratic (or nonlinear interfaces embedded in a linear layered structure—a quadratic nonlinear photonic crystal. For a periodic lattice of nonlinear interfaces, we derive an effective discrete model for the amplitudes of the fundamental and second-harmonic waves at the interfaces (the so-called discrete equations) and find, numerically and analytically, the spatially localized solutions—discrete gap solitons. For a single nonlinear interface in a linear superlattice, we study the properties of two-color localized modes, and describe both similarities to and differences from quadratic solitons in homogeneous media.
- Received 15 May 2000
DOI:https://doi.org/10.1103/PhysRevE.63.016615
©2000 American Physical Society