Due to the fabrication processes, inaccurate manufacturing of the photonic crystals (PCs) might occur which affect their performance. In this paper, we examine the effects of tolerance variations of the radii of the rods and the permittivity of the material of the two-dimensional PCs on their performance. The presented stochastic analysis relies on plane wave expansion method and Mote Carlo simulations. We focus on two structures, namely Si-Rods PCs and Air-Holes PCs. Numerical results show—for both structures—that uncertainties in the dimensions of the PCs have higher impact on its photonic gap than do the uncertainties in the permittivity of the Si material. In addition, Air-Holes PCs could be a good candidate with least alteration in the photonic gap considering deviations that might occur in the permittivity of Si due to impurities up to 5%.

由于制造工艺的原因，可能会发生光子晶体（PCs）的不正确制造，从而影响其性能。在本文中，我们研究了杆半径的公差变化和二维PC材料的介电常数对其性能的影响。所提出的随机分析依赖于平面波展开法和Mote Carlo模拟。我们专注于两种结构，即Si-Rods PC和Air-Holes PC。数值结果表明，对于这两种结构，PC尺寸的不确定性对其光子间隙的影响要比Si材料的介电常数的不确定性高。此外，考虑到由于杂质含量高达5％导致Si的介电常数可能发生偏差，Air-Holes PC可能是光子间隙变化最小的良好候选者。