Analytical approach to localization of electromagnetic waves in two-dimensional random media

Abstract
Localization of electromagnetic waves in two-dimensional random media is studied analytically. A simple but realistic model, based directly on the Maxwell equations, is developed. Almost perfect localization is predicted in sets of randomly distributed two-dimensional dipoles which are linearly coupled to the electric field of the incident wave. Striking qualitative similarities are observed between our results and effects found experimentally in microwave localization by random arrays of dielectric cylinders [R. Dalichaouch, J. P. Armstrong, S. Schultz, P. M. Platzman, and S. L. McCall, Nature (London) 354, 53 (1991)].