The electromagnetic propagator associated with the localized collective mag
netoplasmon excitations in a semiconductor superlattice with broken transla
tional symmetry is calculated analytically within linear response theory. W
e discuss the properties of these collective excitations in both radiative
and non-radiative regimes of the electromagnetic spectra. We find that low-
frequency retarded modes arise when the surface density of carriers eta(d)
at the symmetry-breaking layer is lower than the density eta(0) at the rema
ining layers. Otherwise (eta(d) > eta(0)) a doubler of localized, high-freq
uency magnetoplasmon-like modes occurs. The corresponding dispersion law an
d power spectrum of these modes are shown.