Electromagnetic interactions between a line source and anisotropic biaxial media with partially negative constitutive parameters

We have analyzed the electromagnetic wave interactions between a line source and an anisotropic biaxial half space as well as an anisotropic biaxial slab with partially negative constitutive parameters. Both the propagating and evanescent waves emitted from the source are discussed separately with the change of the permittivity and permeability tensors in the anisotropic media. Properties exhibited by the anisotropic half space and the anisotropic slab are investigated both theoretically and numerically based on different dispersion relations obeyed by the anisotropic media. We have shown that the media with elliptic dispersion relations can replace the isotropic left-handed materials in the subwavelength imaging, while the media with hyperbolic relations can convert the incident evanescent waves into propagating waves. When the permittivity and permeability tensors of the anisotropic media are properly selected, we also show that no propagating waves can be supported inside the media and we can use the anisotropic slabs as excellent reflectors to replace the traditional metallic ones. Numerical results have validated our analysis.