Parametric localized modes in quadratic nonlinear photonic structures

Details Parametric localized modes in quadratic nonlinear photonic structures Parametric localized modes in quadratic nonlinear photonic structures

2000-05-15

arxiv.org/abs/nlin/0005028v1

Phys. Rev. E 63, 016615(1-9) (2001)

Nonlinear Sciences

Pattern Formation and Solitons

9 pages, 8 figures

Scientific paper

10.1103/PhysRevE.63.016615

We analyze two-color spatially localized modes formed by parametrically coupled fundamental and second-harmonic fields excited at quadratic (or chi-2) nonlinear interfaces embedded into a linear layered structure --- a quasi-one-dimensional 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 chi-2 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 and differences with quadratic solitons in homogeneous media.

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