Optical bistability in colloidal crystals

We present a one-dimensional model for the nonlinear response of a colloidal crystal to intense light illumination along a high symmetry direction. The strong coupling between Light and the colloidal lattice, via the electric gradient force acting upon the particles, induces an interesting large optical nonlinearity. We obtain a bistable behavior when the incident frequency is inside the stopband of the periodic structure, with decreasing switching intensity as the frequency increases. The transmission characteristics and the magnitude of the switching threshold intensity are also in good agreement with a recent experiment.