Influence of random errors on the characteristics of typical 2D photonic crystal microcavity

We studied theoretically how random errors which may arise during fabrication, including radius and position Errors, can affect the most fundamental properties of typical 2D photonic crystal microcavities (single defect modes in a 2D square lattice). It is shown that the disorder caused by radius and position errors has little influence on the quality factor but has a large influence on the resonance frequency, given the gain width of conventional semiconductors. In addition, the resonant mode distribution is tolerant to large radius errors but sensitive to position errors. PACS 42.70.Qs; 42.79.Ci