Influence of disorder on a Bragg microcavity

S. Tikhodeev, E. Muljarov, W. Langbein, N. Gippius, H. Giessen, T. Weiss
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引用次数: 1

Abstract

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 1st and 2nd 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 1st 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.
无序对Bragg微腔的影响
利用平面Bragg微腔漏光模的共振态展开,研究了无序对其基腔模的影响。我们通过随机改变bragg对板(组成反射镜)和腔的厚度来模拟无序,并精确地计算了每个无序微腔的共振能量和线宽,并将结果与大基集及其一阶和二阶微扰理论下的共振态展开进行了比较。我们表明,界面的随机位移导致了与无序程度成正比的基模的非均匀展宽的增长。同时,微腔质量因子的减小与失序大小的平方成反比。我们还发现,一阶微扰理论在相当大的无序量级下非常准确地工作,特别是在计算共振能量时,这使我们能够定性地推导出微腔性质与无序强度的标度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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