4.6 Article

Nonlinear diffraction in photonic graphene

Journal

OPTICS LETTERS
Volume 36, Issue 19, Pages 3762-3764

Publisher

OPTICAL SOC AMER
DOI: 10.1364/OL.36.003762

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Funding

  1. United States Air Force Office of Scientific Research (USAFOSR) [FA9550-09-1-0250]
  2. National Science Foundation (NSF) [DMS-0905779]
  3. Direct For Mathematical & Physical Scien
  4. Division Of Mathematical Sciences [0905779] Funding Source: National Science Foundation

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The nonlinear (NL) diffraction of wave packets in honeycomb lattices near Dirac points is studied. Strong nonlinearity can significantly deform the diffraction patterns from conical to triangular structure. This is described by a mean field discrete NL Dirac system and in the continuous limit by a higher-order NL Dirac system, which, in turn, is consistent with the trigonal warping of the dispersion relation. The anticontinuous limit is also examined and similar properties are obtained. (C) 2011 Optical Society of America

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