Journal
OPTICS EXPRESS
Volume 20, Issue 17, Pages 18827-18835Publisher
OPTICAL SOC AMER
DOI: 10.1364/OE.20.018827
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Funding
- European Research Council
- Israel Science Foundation
- Binational US-Israel Science Foundation
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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. (C) 2012 Optical Society of America
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