Abstract
The transmission properties of guided waves in photonic crystal waveguides con- taining barriers formed from Kerr nonlinear media are studied theoretically using a difierence equations approach. The photonic crystal is a square lattice array of linear media dielectric cylin- ders, the waveguide is formed in the photonic crystal by cylinder replacement along the x-axis of the photonic crystal with linear media replacement cylinders, and the barrier is formed by replacing a flnite number of waveguide cylinders with cylinders containing Kerr nonlinear optical media. The transmission properties of guided modes through the barrier are studied for barriers and barriers connected to an ofi-channel single site impurity. The efiects of the dispersion of the waveguide modes are shown.
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