Analytical Model of Reflection of the Individual Multipoles Fields from a Flat Substrate

In this report, we give the derivation of the electromagnetic field of multipoles over a substrate, using the angular spectrum representation. The multipole series up to the electric quadrupole is considered. If necessary, this approach can easily be extended to multipoles of any order. As a result, analytical expressions for the scattered and reflected multipole fields as an infinite sum of plane waves of different polarizations are obtained. #CSOC1120.