Sensitivity Analysis of Narrow-band Photonic Micro Cavities and Array Waveguides

Coupled Cavity Waveguides (CCW) is a linear array of equally spaced identical local-defect microcavities situated within an otherwise perfect photonic crystal. Tunneling of light between adjacent microcavities forms a guiding effect, with a central frequency and bandwidth controlled by the local defect parameters and by the array spacing, respectively. In this work we develop perturbation theory to investigate sensitivity of photonic crystal micro-cavities and CCW devices to structure parameters and random inaccuracies. It is shown that the CCW appealing properties are practically not affected by random inaccuracies below a certain threshold value, and degrade significantly if the structural noise levels exceed this threshold.