Parametric localized modes in quadratic nonlinear photonic structures | Andrey A. Sukhorukov, Yuri S. Kivshar, Ole Bang, Costas M. Soukoulis
| | Abstract | We analyze two-color spatially localized nonlinear modes formed by parametrically coupled fundamental and second-harmonic fields excited at quadratic (or chi2) 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 chi2 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. | | Type | Journal paper [With referee] | | Journal | Physical Review E | | Year | 2001 Month January Vol. 63 No. 1 pp. 1-9/016615 | | BibTeX data | [bibtex] | | IMM Group(s) | Mathematical Physics |
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