Localization and Critical Phenomena in Disordered Media

本文研究的是经典波（主要是光）在随机介质中的局部化问题。随机介质的光散射观测为研究局域化效应提供了一种方便的工具。光波的矢量性质对定位有重要影响，并导致有趣的可观察效应。研究了吸收、低维数、几何效应和自旋轨道散射对相干后向散射的影响。在光的问题中，移动边的存在是一个有趣的问题。强度波动及其相关函数正在研究中，并提供了波在随机介质中的散射和干涉的有趣信息。另一个正在研究的系统是二维低温下的半经典（非简并）电子系统。该体系的电导和磁导也表现出有趣的局域化效应。

The research described in this proposal is concerned with the localization of classical waves (mostly light) in random media. The observation of the light scattering from a random medium provides a convenient tool for investigating localization effects. The vector nature of light waves have an important effect on localization and lead to interesting observable effects. The effects of absorption, lower dimensionality, geometric effects and the analog of spin orbit scattering on coherent backscattering are being investigated. The existence of a mobility edge in the light problem is of interest. The intensity fluctuations and its correlation functions are under investigation and give interesting information about the scattering and interference of waves in random media. Another system being investigated is that of semiclassical (non- degenerate) electrons at low temperatures in two dimensions. The conductance and magnetoconductance of this system also shows interesting localization effects.