Solitary waves in photonic structures: analytical solutions of the nonlinear Kronig-Penney model

Yiannis Kominis; Ilias Tsopelas; Sotiris Droulias; Kyriakos Hizanidis

doi:10.1117/12.779815

18 September 2007 Solitary waves in photonic structures: analytical solutions of the nonlinear Kronig-Penney model

Yiannis Kominis, Ilias Tsopelas, Sotiris Droulias, Kyriakos Hizanidis

Proceedings Volume 6785, ROMOPTO 2006: Eighth Conference on Optics; 678529 (2007) https://doi.org/10.1117/12.779815
Event: ROMOPTO 2006: Eighth Conference on Optics, 2006, Sibiu, Romania

Abstract

A novel method is presented for the analytical construction of solitary wave solutions of the nonlinear Kronig-Penney model in a photonic structure. In order to overcome the restrictions of the coupled-mode theory and the tight-binding approximation and study the solitary wave formation in a unified model, we consider the original NLSE, with periodically varying coefficients, modeling a waveguide array structure. The analytically obtained solutions correspond to gap solitons and form a class of self-localized solutions existing under quite generic conditions. A remarkable robustness of the solutions under propagation is shown, thus providing potentiality for various applications.

Citation Download Citation

Yiannis Kominis, Ilias Tsopelas, Sotiris Droulias, and Kyriakos Hizanidis "Solitary waves in photonic structures: analytical solutions of the nonlinear Kronig-Penney model", Proc. SPIE 6785, ROMOPTO 2006: Eighth Conference on Optics, 678529 (18 September 2007); https://doi.org/10.1117/12.779815

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