Spatial dispersion, namely, the dependence of the dielectric-constant
tensor on the wave vector (i.e., on the wavelength) at a fixed
frequency, is receiving increased attention in electrodynamics and
condensed-matter optics, partic- ularly in crystal optics. In contrast
to frequency dispersion, namely, the frequency dependence of the
dielectric constant, spatial dispersion is of interest in optics mainly
when it leads to qualitatively new phenomena. One such phenomenon has
been weH known for many years; it is the natural optical activity
(gyrotropy). But there are other interesting effects due to spatial
dispersion, namely, new normal waves near absorption lines, optical
anisotropy of cubic crystals, and many others. Crystal optics that takes
spatial dispersion into account includes classical crystal optics with
frequency dispersion only, as a special case. In our opinion, this fact
alone justifies efforts to develop crystal optics with spatial
dispersion taken into account, although admittedly its influence is smaH
in some cases and it is observable only under rather special conditions.
Furthermore, spatial dispersion in crystal optics deserves attention
from another point as well, namely, the investigation of excitons that
can be excited by light. We contend that crystal optics with spatial
dispersion and the theory of excitons are fields that overlap to a great
extent, and that it is sometimes quite impossible to separate them. It
is our aim to show the true interplay be- tween these interrelations and
to combine the macroscopic and microscopic approaches to crystal optics
with spatial dispersion and exciton theory.