Abstract:
An exact theory for modelling modes of generalised defects in 2D photonic crystals (PCs) with a genuinely infinite
cladding is presented. The approach builds on our fictitious source superposition method for simple defects and
permits an elegant extension allowing the modelling of arbitrary defects. Numerical results that demonstrate the
accuracy and efficiency of the extended method are presented. We also use the method to study the evolution of the
mode generated by varying the refractive index of a single defect cylinder and find significant differences between the
behaviour of defects in rod-type and hole-type PCs.
