On the electromagnetic dyadic Green´s functions in spectral domain with a chiral medium

A novel method of deriving the electromagnetic dyadic Green´s functions in an unbounded, lossless reciprocal and homogeneous chiral medium described by the constitutive relations D^ω = εE^ω + jγB^ω and H^ω = jγB^ω + μ^-1 γJ^ω is given. The divergenceless and irrotational splitting of dyadic Dirac δ function and Fourier´s transformation are used to obtain the divergenceless and irrotational component of dyadic Green´s functions in spectral domain with a chiral medium.