AI Article Synopsis
- The study reveals a significant relationship between nonlinearity and diffraction in a photonic crystal at the supercollimation point, modeled by a specific nonlinear-Schrödinger-type equation.
- Linear stability analysis indicates that solitons remain stable within a certain existence domain, aligning with the Vakhitov-Kolokolov criterion.
- The research further explores how nonlinear diffraction affects the behavior during soliton collisions.
Article 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.
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| http://dx.doi.org/10.1364/ol.33.001762 | DOI Listing |
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