Effects of material parameters upon the dipolar scattering characteristics of uncoated or coated sphere

An analytical theory for the dipolar scattering characteristics of uncoated or coated sphere with different materials is presented. These materials are magnetodielectric, single negative, single near zero, and double near zero (DNZ) materials. It is shown that an uncoated magnetodielectric sphere has nearly identical E- and H-plane scattered intensities. It is further observed that for an epsilon near zero (ENZ) sphere, the intensity of scattered field in the E plane is nearly isotropic. For a coated sphere, it is shown that a magnetodielectric sphere coated with ENZ and mu near zero materials have nearly identical E-plane scattered intensities in the forward and backward scattering (BS) directions. Likewise, it is also shown that a finite sized magnetodielectric sphere coated with a DNZ layer can be made hidden to the incoming wave in the BS direction.