| 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: | 8 (Dimensions.ai - last update: 3/11/2024)
7 (OpenCitations - last update: 3/5/2024)
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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. Related Research Topics
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