Reflection and Transmission of Plane Waves at a Planar Interface betweenIsotropic and Bi-Isotropic Media

摘要

Reflection and transmission of a plane wave at the planar interface of isotropicand bi-isotropic (BI) media are analyzed. The analysis applies vector transmission line theory, which for the general case is seen to involve both dyadic impedance and dyadic propagation factor quantities. Explicit expressions for the reflection and transmission dyadics are given and their special cases for the Tellegen (nonreciprocal nonchiral) as well as Pasteur (reciprocal chiral) media are obtained and confirmed by previous results. Eigenpolarizations for the reflection dyadic are found and conditions for zeros of the eigenreflections are worked out to give explicit expressions for the Brewster angles corresponding to the BI interface. A new phenomenon is the appearance of two Brewster angles for certain material parameter values of the bi-isotropic half space. Also, conditions for zeros of cross-polarized reflections are found for the general case. These nonreciprocal cross-Brewster angles for which, for example, horizontally polarized wave gives no vertically polarized reflection whereas a vertically polarized wave gives nonzero horizontally polarized reflection, may find new practical applications because this effect does not appear for the special cases of Tellegen or Pasteur media.