Interactions between arbitrary electromagnetic shaped beams and circular and elliptical infinite cylinders: A review
Résumé
The theories describing the interactions between arbitrary electromagnetic shaped beams and infinite cylinders, both in cylindrical and elliptical coordinates, are reviewed. Two main approaches are considered (i) an approach in terms of usual functions named the plane-wave spectrum approach and (ii) an approach in terms of Schwartz distributions, the latter leading to a formalism more general than the former. The relationship between both approaches, in cases when the plane-wave spectrum approach is feasible, is discussed. The attention is strongly focused on the description of the illuminating beams, in particular when using localized approximations in circular and elliptical coordinates, similar to the ones already developed in the case of spherical coordinates.