18 September 2007 Solitary waves in photonic structures: analytical solutions of the nonlinear Kronig-Penney model
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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.
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Yiannis Kominis, Yiannis Kominis, Ilias Tsopelas, Ilias Tsopelas, Sotiris Droulias, Sotiris Droulias, Kyriakos Hizanidis, 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); doi: 10.1117/12.779815; https://doi.org/10.1117/12.779815
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