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arXiv · 0807.4787

Nonlinear photonic crystals near the supercollimation point

Zhiyong Xu·Bjorn Maes·Xunya Jiang·John D. Joannopoulos·Lluis Torner·Marin Soljacic
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Abstract

We uncover a strong coupling between nonlinearity and diffraction in a photonic crystal at the supercollimation point. We show this is modeled by a nonlinear diffraction term in a nonlinear schroedinger 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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Zhiyong Xu, Bjorn Maes, Xunya Jiang, John D. Joannopoulos, Lluis Torner, Marin Soljacic. 2008-07-30. Nonlinear photonic crystals near the supercollimation point. https://doi.org/10.1364/ol.33.001762

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