Radiation relations for electromagnetic excitation of a layered chiral medium by an interior dipole Available to Purchase

In this paper we establish certain fundamental radiation integral relations, refereed also as radiation theorems or principles, which connect the fields and far-field patterns due to the spherical wave excitation of a layered chiral obstacle by a dipole in its interior. The investigation of problems involving such types of excitations is motivated by significant applications including, for example, radiation from thin wires embedded in layered chiral media as well as from chiral in chiral composites. Reciprocity and general radiation theorems are established, relating the total, primary, and secondary Beltrami fields with the respective far-field patterns. As a consequence of the general radiation theorem, we obtain the optical theorem expressing the extinction cross section by means of the secondary Beltrami field at the dipole’s location. For an obstacle excited by a plane and a spherical wave mixed radiation-scattering theorems are derived. The theorems recover as special cases the respective known results for chiral and achiral media.