About wave localization in two-dimensional random media

In this Letter, we wish to discussion some basic questions pertinent to the phenomenon of Anderson localization of classical waves in two-dimensional random media. Although a definite answer to the two-dimensional localization is not yet found, a common consensus has been reached based upon the scaling analysis Abraham et al. [Phys. Rev. Lett. 43 (1979) 679]. That is, all waves are localized in two dimensions for any given amount of disorders. This view has been prevalent for more than two decades. Here, we explain some recent results and considerations that tend to be contrary to this view or the consequences of it. (C) 2003 Elsevier B.V. All rights reserved.