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Authors: Z. Xu, B. Maes, X. Jiang, J.D. Joannopoulos, L. Torner, M. Soljacic
Title: Nonlinear photonic crystals near the supercollimation point
Format: International Journal
Publication date: 7/2008
Journal/Conference/Book: Optics Letters
Editor/Publisher: Optical Society of America, 
Volume(Issue): 33(15) p.1762
DOI: 10.1364/ol.33.001762
Citations: 7 (Dimensions.ai - last update: 15/5/2022)
7 (OpenCitations - last update: 3/5/2022)
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Abstract

We uncover a strong coupling between nonlinearity and diffraction in a photonic crystal at the supercollimation point. We show that this is modeled by a nonlinear diffraction term in a nonlinear-Schrödinger-type equation in which the properties of solitons are investigated. Linear stability analysis shows solitons are stable in an existence domain that obeys the Vakhitov–Kolokolov criterium. In addition, we investigate the influence of the nonlinear diffraction on soliton collision scenarios.

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