Stochastic analysis of two-dimensional circular and square metallic photonic crystals

Abstract Due to the random imperfections in the fabrication processes, the metallic photonic crystals might suffer from some degradation of their functionality. In the presented work, the impacts of uncertainties of the dimensions and the angle of rotations of the rods of 2D photonic crystals on their operating photonic characteristics are examined. The presented stochastic modeling is based on the Mote Carlo technique and method of frequency-dependent plane wave expansion. The research focuses on two constructions, the Metallic-Rods PCs and the Air-Holes PC, where rods and holes with both square and circular shapes are investigated. Numerical results of the stochastic analysis show that uncertainties in the dimensions of the PC on its photonic gap are more effective in case of metallic rods showing that Air-Holes PCs can be regarded as a good candidate with the least amount of photonic gap alteration resulted from design parameters’ random deviations.