Nonlinear photonic crystals near the supercollimation point

Details Nonlinear photonic crystals near the supercollimation point Nonlinear photonic crystals near the supercollimation point

2008-07-30

arxiv.org/abs/0807.4787v1

Optics Letters 33, 1762 (2008)

Physics

Optics

16 pages, 3 figures, being published in Optics Letters

Scientific paper

10.1364/OL.33.001762

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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