Nonlinear diffraction in photonic graphene
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Updated: May 28, 2026

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
Published on: August 22, 2017
1Department of Applied Mathematics, University of Colorado, 526 UCB, Boulder, Colorado 80309, USA.
Abstract:
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.
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