Scattering of radiation by a system of point dipoles on a ring. Exact solution in two dimensions

Abstract

Scattering of radiation by a system on N quasi-point like dipoles located on a circle (equidistantly in the polar angle) in two spatial dimensions is considered. The coupling of the dipoles is taken into account exactly. A closed-form expression for the electric fields at the points where the dipoles are located is given via the partial wave decomposition. Scattering and focusing properties are investigated for both dielectric and metallic scatterers.

Keywords:

• radiation scattering
• wave equation
• discrete dipole approximations