Electromagnetic waves in superlattices consisting of alternating isotropic
and anisotropic layers of two materials are studied. A nematic liquid cryst
al (NLC) is considered as an anisotropic layer. The dispersion equation for
electromagnetic waves is obtained and numerically analyzed for the case of
unbounded layered medium. With special features of NLC (as compared to ord
inary crystals)-strong anisotropy of the dielectric constant-taken into acc
ount, the spectrum of electromagnetic waves is shown to rearrange qualitati
vely as the orientation of the director (optic axis) of the NLC is changed,
for instance, by an external electric field. Solutions of Maxwell's equati
ons are obtained for a finite superlattice and their modification upon vari
ation of the orientation of the NLC director is studied. The possibility of
the efficient control of the transmission coefficient of electromagnetic w
aves by varying the orientation of the NLC director is shown.