  We present a theoretical investigation of the optical properties of polaronic
excitons in stacked self-assembled quantum dots, which is based on the
non-adiabatic approach. A parallelepiped-shaped quantum dot is considered as a
model for a self-assembled quantum dot in a stack. The exciton-phonon
interaction is taken into account for all phonon modes specific for these
quantum dots (bulk-like, half-space and interface phonons). We show that the
coupling between stacked quantum dots can lead to a strong enhancement of the
optical absorption in the spectral ranges characteristic for phonon satellites.
