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The localization length for classical waves in two dimensional random mediais calculated exactly, and is compared with the theoretical prediction from theprevious analytic theory. Significant discrepancies are observed. It is alsoshown that as the frequency varies, critical changes in the localizationbehavior can occur. Possible reasons for the discrepancies are discussed.Comment: 7 pages, 6 fgure

Localization of classical waves in two-dimensional random media: A comparison between the analytic theory and exact numerical simulation