Localization of classical waves in two dimensional random media: A   comparison between the analytic theory and exact numerical simulation
  The localization length for classical waves in two dimensional random media is calculated exactly, and is compared with the theoretical prediction from the previous analytic theory. Significant discrepancies are observed. It is also shown that as the frequency varies, critical changes in the localization behavior can occur. Possible reasons for the discrepancies are discussed. 
Bikash C. Gupta and Zhen Ye