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Opt Express. 2012 Aug 13;20(17):18827-35. doi: 10.1364/OE.20.018827.

Self-accelerating self-trapped nonlinear beams of Maxwell's equations.

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1
Physics Department and Solid State Institute, Technion, Haifa 32000, Israel.

Abstract

We present shape-preserving self-accelerating beams of Maxwell's equations with optical nonlinearities. Such beams are exact solutions to Maxwell's equations with Kerr or saturable nonlinearity. The nonlinearity contributes to self-trapping and causes backscattering. Those effects, together with diffraction effects, work to maintain shape-preserving acceleration of the beam on a circular trajectory. The backscattered beam is found to be a key issue in the dynamics of such highly non-paraxial nonlinear beams. To study that, we develop two new techniques: projection operator separating the forward and backward waves, and reverse simulation. Finally, we discuss the possibility that such beams would reflect themselves through the nonlinear effect, to complete a 'U' shaped trajectory.

PMID:
23038522
[Indexed for MEDLINE]
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