The effects of randomness on the guiding properties of waveguides embedded in disordered twodimensional photonic crystals composed of a finite cluster of circular cylinders of infinite length are investigated for TM-polarized radiation. Different degrees of disorder in the radius, filling fraction, refractive index and position are considered for both straight and 90 • bent guides. The crystals exhibit similar sensitivity to refractive index and radius disorder, with a degree of disorder from 15%-20% yielding little substantial change in the guiding properties. A smaller range of position disorder is also considered. For strong disorder in radius and refractive index the guide effectively closes. These results were obtained by a Monte Carlo simulation method, and the performance of this method is analyzed. The method requires at least 10 realizations in some cases for convergence to commence; substantially more realizations are required for moderate and strong disorder to achieve accurate results.
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