Optical chaos in nonlinear photonic crystals
K. N.Alekseev, A. V. Ponomarev
+Department of Physical Sciences, University of Oulu FIN-90014, Finland *Max-Planck-Institute für Physik komplexer Systeme, D-01187 Dresden, Germany Theory of Nonlinear Processes Laboratory, Kirensky Institute of Physics RAS, 660036 Krasnoyarsk, Russia Department of Physics, Krasnoyarsk State University, 660041 Krasnoyarsk, Russia
PACS: 05.45.Ac, 42.65.-k, 42.70.Mp
Abstract
We examine the spatial evolution of lightwaves in a nonlinear
photonic crystal with a quadratic nonlinearity when simultaneously a second
harmonic and a sum-frequency generation are quasi-phase-matched. We find the
conditions for a transition to Hamiltonian chaos for different amplitudes of
lightwaves at the boundary of the crystal.
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