论文标题
疾病对Bragg微腔的影响
Influence of disorder on a Bragg microcavity
论文作者
论文摘要
使用谐振状态扩展,用于平面布拉格微腔的泄漏光学模式,我们研究了疾病对其基本腔模式的影响。我们通过随机改变Bragg Pair板的厚度(组成镜子)和空腔来对该疾病进行建模,并准确地计算每个无序的微腔的共振能量和线宽,将结果与谐振状态扩展的结果进行比较,以在其较大的基础集合和第二个扰动理论中进行比较。我们表明,界面的随机移位会导致与疾病大小成正比的基本模式的不均匀拓宽的增长。同时,微腔的质量因素与疾病大小的平方成反比。我们还发现,一阶扰动理论非常准确地达到了相当大的混乱幅度,尤其是用于计算共振能量,这使我们能够以无序强度的微博特性定性地得出缩放。
Using the resonant-state expansion for leaky optical modes of a planar Bragg microcavity, we investigate the influence of disorder on its fundamental cavity mode. We model the disorder by randomly varying the thickness of the Bragg-pair slabs (composing the mirrors) and the cavity, and calculate the resonant energy and linewidth of each disordered microcavity exactly, comparing the results with the resonant-state expansion for a large basis set and within its first and second orders of perturbation theory. We show that random shifts of interfaces cause a growth of the inhomogeneous broadening of the fundamental mode that is proportional to the magnitude of disorder. Simultaneously, the quality factor of the microcavity decreases inversely proportional to the square of the magnitude of disorder. We also find that first-order perturbation theory works very accurately up to a reasonably large disorder magnitude, especially for calculating the resonance energy, which allows us to derive qualitatively the scaling of the microcavity properties with disorder strength.