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.

© 2008 Optical Society of America

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History
Original Manuscript: April 1, 2008
Manuscript Accepted: June 30, 2008
Revised Manuscript: June 22, 2008
Published: July 30, 2008

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