Bloch Function Approach for parametric gap solitons

C. Conti, S. Trillo, and G. Assanto

Opt. Lett. 22, 445-447 (1997)

Abstract:

Using a Bloch function approach, we predict the existence of parametric gap solitary waves in a grating structure with quadratic nonlinearity. These waves consist of mutually trapped envelopes at the fundamental frequency and at the second harmonic, which are not sustained by any equivalent cubic nonlinearity.