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

Abstract

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.

7 pages, 6 fgures

References in corpus (4)

• Statistical Signatures of Photon Localization
• Theoretical analysis of acoustic stop bands in two-dimensional periodic scattering arrays
• Acoustic Attenuation by Two-dimensional Arrays of Rigid Cylinders
• Localization of electromagnetic waves in a two dimensional random medium

Cited by in corpus (6)

• Localization of elastic waves in heterogeneous media with off-diagonal disorder and long-range correlations
• Strong Coupling to Two-Dimensional Anderson Localized Modes
• Influence of the local scattering environment on the localization precision of single particles
• Hyperuniformity and wave localization in pinwheel scattering arrays
• Enhanced wave localization in multifractal scattering media
• A simulation study of localization of electromagnetic waves in two-dimensional random dipolar systems