  We present a comprehensive study of various electromagnetic wave propagation
phenomena in a ferromagnetic bulk Rashba conductor from the perspective of
quantum mechanical transport. In this system, both the space inversion and time
reversal symmetries are broken, as characterized by the Rashba field $\alpha$
and magnetization $M$, respectively. First, we present a general
phenomenological analysis of electromagnetic wave propagation in media based on
the dielectric tensor. Then, we calculate the microscopic electromagnetic
response of the current and spin of conduction electrons subjected to $ \alpha$
and $M$, based on linear response theory and the Green's function method.
Firstly, it is found that a large $\alpha$ enhances the anisotropic properties
of the system and enlarges the frequency range in which the electromagnetic
waves have hyperbolic dispersion surfaces and exhibit unusual propagations
known as negative refraction and backward waves. Secondly, we consider the
electromagnetic cross-correlation effects on the wave propagation. These
effects stem from the lack of space inversion symmetry and yield $q$-linear
off-diagonal components in the dielectric tensor. This induces a Rashba-induced
birefringence. In the presence of $M$, there arises an anomalous Hall effect
and the dielectric tensor acquires off-diagonal components linear in $M$. These
components yield the Faraday effect and the Cotton-Mouton effect. When $\alpha$
and $M$ are noncollinear, $M$- and $q$-induced optical phenomena, nonreciprocal
directional dichroism is possible. In these nonreciprocal optical phenomena, a
"toroidal moment," $\alpha\times M$, and a "quadrupole moment," $\alpha_i M_j +
\alpha_j M_i$, play central roles. These phenomena are strongly enhanced at the
spin-split transition edge in the electron band.
