  Based on boundary conditions and dispersion relations, the anomalous
propagation of waves incident from regular isotropic media into quasiisotropic
media is investigated. It is found that the anomalous negative refraction,
anomalous total reflection and oblique total transmission can occur in the
interface associated with quasiisotropic media. The Brewster angles of E- and
H-polarized waves in quasiisotropic media are also discussed. It is shown that
the propagation properties of waves in quasiisotropic media are significantly
different from those in isotropic and anisotropic media.
