GENERAL REFLECTION RULE FOR ELECTROMAGNETIC MULTIPOLE FIELDS ON A PLANE INTERFACE

The general rule for reflection of a vector 2'-pole field on a plane i nterface between two media of different dielectric properties is estab lished starting from the expansion of the spherical multipole field as a linear combination of inhomogeneous vector plane waves, In fact, by considering vector multipole fields that satisfy the radiation condit ion at infinity we are able to define a matrix that effects their refl ection on the plane interface, Such a matrix can also be used to refle ct a superposition of many 2'-pole fields and so can be useful to desc ribe the effect of a plane surface near to a specified source or to a scattering particle.