Intensity distribution of scalar waves propagating in random media

Abstract

Transmission of the scalar field through the random medium, represented by the system of randomly distributed dielectric cylinders is calculated numerically. System is mapped to the problem of electronic transport in disordered two-dimensional systems. Universality of the statistical distribution of transmission parameters is analyzed in the metallic and in the localized regimes.In the metallic regime the universality of the transmission statistics in all transparent channels is observed. In the band gaps, we distinguish the disorder induced (Anderson) localization from the tunneling through the system due to the gap in the density of states. We show also that absorption causes rapid decrease of the mean conductance, but, contrary to the localized regime, the conductance is self-averaged with a Gaussian distribution.

References in corpus (8)

• Statistical Signatures of Photon Localization
• Reconciling Conductance Fluctuations and the Scaling Theory of Localization
• Photon Localization in Resonant Media
• Scaling of the conductance distribution near the Anderson transition
• Effects of localization and amplification on distribution of intensity transmitted through random media
• Conductance fluctuations and boundary conditions
• Statistics of transmission in one-dimensional disordered systems: universal characteristics of states in the fluctuation tails
• Universal conductance fluctuations in non-integer dimensions

Cited by in corpus (5)

• The Role of Short-Range Order and Hyperuniformity in the Formation of Band Gaps in Disordered Photonic Materials
• Light diffusion and localization in 3D nonlinear disordered media
• Numerical simulation of the localization of elastic waves in two- and three-dimensional heterogeneous media
• Effect of amplification on conductance distribution of a disordered waveguide
• Universality of phonon transport in surface-roughness dominated nanowires