| Nonlinear photonic crystals near the supercollimation point (2008) | |||||||||
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.. Comment: 16 pages, 3 figures, being published in Optics Letters | |||||||||
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