  Characteristics of the gyrotropic-nihility state are studied in a
finely-stratified ferrite-semiconductor structure, which is under an action of
an external static magnetic field. Investigations are carried out with the
assistance of the effective medium theory, according to which the studied
structure is approximated as a uniform gyroelectromagnetic medium. The theory
of the gyrotropic-nihility state is developed in terms of the eigenwaves
propagation in such gyroelectromagnetic medium. The frequency and angular
dependencies of the transmittance, reflectance and absorption coefficient are
presented. It turns out that in the frequency band around the frequency of
gyrotropic-nihility state the studied structure appears to be matched to free
space with both the refractive index and the wave impedance which results in
its high transmittance almost in the entire range of angles of the
electromagnetic wave incidence.
