Formation of the reflected and refracted s-polarized electromagnetic waves in the Fresnel problem for the boundary vacuum-metamaterial from the viewpoint of molecular optics

摘要

The refraction of a plane s-polarized electromagnetic wave on the vacuum-metamaterial interface is considered. Point particles with electric and magnetic dipole polarizabilities are scattering elements of a medium. The medium consists of plane-parallel monolayers of electric or magnetic dipoles or Huygens elements influencing one another. Dipole fields are completely taken into account. The fields inside the medium and the reflected fields are calculated. The extinction theorem is analyzed in detail. The mechanism of rotation of the magnetic field vector during refraction is elucidated. A reason for the absence of the fourth wave propagating from the medium toward the boundary in the conventionally employed boundary conditions is elucidated. It is shown that, under certain conditions, this medium can behave as possessing a unity refractive index or zero refractive index at a preset frequency. In the case of a metamaterial layer of finite thickness shows the output region of the existence of backward waves outside metamaterial layer. It is shown that the refraction of the field in a homogeneous medium after the dielectric corresponds to Fermat's principle, and the interference nature of Fermat's principle is justified.