论文标题
稀薄的随机分层介质中传输的通用和非宇宙统计
Universal and nonuniversal statistics of transmission in thin random layered media
论文作者
论文摘要
通常认为通过随机1D介质传输的统计数据是通用的，并且仅取决于单个无量纲参数 - 样品长度和平均自由路径的比率S = l/L。在这里，我们显示了随机二进制系统的数值模拟和光学测量值，以及在S的系统中最突出的，最突出的是，传输对数LN T的统计数据是通用的，在Unity的上限附近是通用的，并且明显地取决于图层接口的反射率及其数量接近较低的截止。传输p对数（LN T）对数的概率分布函数的通用段（少于三个二元层）表现出来。对于给定的s值，p（ln t）随着层数的增加而发展为普遍分布。 5和20玻璃盖板的堆栈中的光学测量在低和中等的传输值中显示出与1D层次介质的模拟中发现的统计数据，而差异在较高的传输中出现在培养基中的较长时间，并且波浪探索了样品的横向不均匀性。
The statistics of transmission through random 1D media are generally presumed to be universal and to depend only upon a single dimensionless parameter-the ratio of the sample length and the mean free path, s = L/l. Here, we show in numerical simulations and optical measurements of random binary systems, and most prominently in systems for which s is less than unity, that the statistics of the logarithm of transmission, ln T, are universal for transmission near the upper cutoff of unity and depend distinctively upon the reflectivity of the layer interfaces and their number near a lower cutoff. The universal segment of the probability distribution function of the logarithm of transmission P (ln T) is manifested with as few as three binary layers. For a given value of s, P (ln T ) evolves towards a universal distribution as the number of layers increases. Optical measurements in stacks of 5 and 20 glass coverslips exhibit statistics at low and moderate values of transmission that are close to those found in simulations for 1D layered media, while differences appear at higher transmission where the transmission time in the medium is longer and the wave explores the transverse nonuniformity of the sample.
