A general scattering theoremfor chiral Herglotz functions

摘要

A chiral electric Herglotz pair is an incident upon a scatterer that is a perfect conductor. First, we define appropriate tangential subspaces of L~2(S~2) that satisfy the conditions of the left circularly and right circularly polarization, and we prove that they are complete and orthogonal spaces. Then, we define integral operators on these spaces that compose the chiral far-field operator.We prove a general scattering theoremthat connects chiral Herglotz functions with the chiral far-field operator, which covers known results in the achiral case.