Numerical simulation of coherent backscattering in small two-dimensional systems

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Abstract
We investigate coherent backscattering in finite two-dimensional systems containing a small number (typically fewer than 25) of scattering centers. We demonstrate that for a system of pointlike scatterers the angular distribution of backscattered light may be calculated by directly ensemble averaging solutions of a set of linear equations for the electric-field intensities at each scatterer. A similar calculation yields the coherent backscattering amplitude in the presence of a perfectly reflecting mirror. We also find that we may employ the split-step fast-Fourier-transform algorithm to analyze the enhanced phase variance associated with the double passage of light through a medium characterized by weak extended scatterers.