有效折射率微扰法研究单缺陷光子晶体平板微腔的性质

应用有效折射率微扰法结合二维/三维平面波方法研究了施主和受主缺陷型H1微腔的性质, 使用修正后的有效折射率可以准确地计算微腔的腔模频率, 与三维全矢量时域有限差分法的计算结果很相近. 对于施主型H1微腔, 以介质带边为匹配标准修正的有效折射率计算的微腔腔模频率误差最小, 而对于受主型H1微腔, 匹配标准则应设置为中间带. 有效折射率微扰法既可以将计算的维度从三维降到二维, 大大减少计算所需的计算机内存和时间, 又可以保持计算结果的准确性, 这对于光子晶体微腔的广泛应用具有非常重要的价值.

Study on properties of the H1 photonic crystal slab cavity using the effective index perturbation method

In this paper the effective index perturbation technique in combination with two-dimensional (2D)/three-dimensional (3D) plane wave expansion methods is used to predict resonant mode frequencies of donor-like and acceptor-like H1 photonic crystal slab cavity, and their results are very close to the ones obtained by three-dimensional finite difference time domain method. For donor-like H1 photonic cavity, when the perturbed effective index by matching dielectric band edge is used, there is a relatively small frequency difference; however, for acceptor-like H1 photonic cavity, the matching criterion should be set at middle band position. The effective index perturbation method can not only save computation time and computer memory with reducing dimensionality (from 3D to 2D), but also ensure the accuracy of the simulation results, which is substantially important for the extensive application of photonic crystal slab cavity.