A simulation study of localization of electromagnetic waves in two-dimensional random dipolar systems

Abstract

We study the propagation and scattering of electromagnetic waves by random arrays of dipolar cylinders in a uniform medium. A set of self-consistent equations, incorporating all orders of multiple scattering of the electromagnetic waves, is derived from first principles and then solved numerically for electromagnetic fields. For certain ranges of frequencies, spatially localized electromagnetic waves appear in such a simple but realistic disordered system. Dependence of localization on the frequency, radiation damping, and filling factor is shown. The spatial behavior of the total, coherent and diffusive waves is explored in detailed, and found to be comply with a physical intuitive picture. A phase diagram characterizing localization is presented, in agreement with previous investigations on other systems.

8 page and 10 figures

References in corpus (6)

• Multiple scattering of classical waves: from microscopy to mesoscopy and diffusion
• Statistical Signatures of Photon Localization
• Delocalization in the Anderson model due to a local measurement
• Localization of classical waves in two dimensional random media: A comparison between the analytic theory and exact numerical simulation
• A Phase transition in acoustic propagation in 2D random liquid media
• Localization of electromagnetic waves in a two dimensional random medium