For many years, the electromagnetic radiation and the plane wave scattering by various dielectric objects have been considered as two different subjects and theoretical formulations for analyzing the radiation and scattering problems also differ. This paper establishes a bridge between the radiation and scattering theories. Instead of an isotropic medium, chiral media have been considered as dielectric materials used for fabricating the planar, cylindrical, and spherical objects if multilayers. In the analysis, the electromagnetic plane waves of parallel and perpendicular polarizations are equivalent to radiated waves due to two differently polarized electric sources located at infinity. The volumetric current distributions of the two sources at infinity are thus obtained. Instead of considering the electromagnetic plane wave scattering, we can analyze the electromagnetic radiation due to the electric sources at infinity for the field distribution elsewhere outside of the scattering objects. To verify the transform, the method of vector wave eigenfunction expansion is utilized to derive electromagnetic scattered fields by such structures. Also, the electromagnetic