A new ´less singular´ representation for the electromagnetic dyadic Green´s functions for planar multi-layered anisotropic uniaxial material media

A less-singular representation for the complete electromagnetic, electric and magnetic, dyadic Green´s function for electric as well as magnetic point currents for a planar anisotropic uniaxial multilayered medium is derived. The electromagnetic dyadic Green´s function is developed via the scalarization of the vector-wave form of the electromagnetic dyadic Green´s function of the anisotropic uniaxial multilayered medium with the Levine-Schwinger free-space dyadic Green´s function in mind. Also, through the newly developed form of the Green´s dyadic, the nature of the singularity of the electromagnetic dyadic Green´s functions is easily revealed. The new formulation is useful in electromagnetic problems dealing with surface as well as volumetric current distributions radiating within multilayered anisotropic uniaxial material media which are of importance to high-frequency electromagnetics and optics.<>