Abstract
High efficiency waveguides can be formed in a photonic crystal for frequencies inside a band gap by removing a line of scatterers.1 The waveguide may be straight but may also have bends or corners. Here we consider the effect of disorder in the photonic crystal on the quality of the waveguide. We consider a two-dimensional photonic crystal initially comprising a finite cluster of Nc = 13 x 19 circular cylinders of infinite length, on a square lattice of period d. The cylinders have radius a = 0.3d and refractive index n = 3, while n = 1 in the background. The waveguide is formed by removing 21 cylinders along a path that has two 90° bends (Fig. 1). The waveguide is excited by a line source that is parallel to the cylinders and is located close to an entrance of the waveguide indicated by the black dot in Fig. 1. The source emits radiation that only excites TM modes in the waveguide. The resulting field intensity, calculated using the multipole method2'5 and shown in the figure confirms the excellent guiding properties of the waveguide.
© 2002 Optical Society of America
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