We report a theoretical study of the first-order resonant Raman scattering
by optical phonons in self-assembled quantum dots (SAQDs). We consider the
SAQD as a cylindrical disk with elliptical cross section to simulate shape
and confinement anisotropies obtained during the SAQD growth. The lateral c
onfinement anisotropy is modelled by harmonic potentials with two different
frequencies. In an envelope function Hamiltonian approach and using matrix
diagonalization techniques, the exciton wave function and energy states ar
e calculated as function of SAQD parameters. Raman scattering polarizabilit
y is obtained for a Frohlich coupling between exciton and confined-phonons.
We analyze how the Raman scattering technique could give information on co
nfinement anisotropy effects and SAQDs geometry. Here, characteristic resul
ts for SAQDs of CdSe dots in ZnSe are presented.