Reflection and Transmission at the Interface With an Electric-Magnetic Uniaxial Medium With Applications to Boundary Conditions

The interface between an isotropicmedium and a general uniaxial anisotropic medium is considered and the reflection coefficients are obtained. Their behavior in some particular cases is presented. A new boundary condition for the electromagnetic field is introduced. It requires the cancellation of both the electric and the magnetic fields along a generic direction. The realization of this boundary condition is proposed by means of a uniaxial medium: the properties of such medium are investigated. An interesting property of the reflection matrix is demonstrated, i.e., when the uniaxial medium is affinely isotropic and has the same impedance of the isotropic medium, the reflection matrix is proportional to a unitary matrix.