Electromagnetic diffraction by double arrays of dipole scatterers

Full-wave electromagnetic interaction of two regular arrays of dipole scatterers is considered. To calculate the local field acting on a particle in arrays a method analogous to the Lorenz-Lorentz approach is used. The full-wave formulas representing the fields created by a continuous distribution sheet with a circular hole of a certain radius are obtained for the case when the observation point is located on the hole axis at an arbitrary distance from the hole center. A simple analytical approach to calculate the interaction field in dense arrays is developed. From the energy conservation principle, the exact expression for the imaginary part of interaction constants in regular arrays is established. As an application example illustrating the physical aspects of the obtained results, the reflection from a double array of electrically polarizable particles is considered. An explicit analytical solution for the reflection coefficient is given.