  Quantum Dots are very attractive nanostructures from an application point of
view due to their unique optical properties. Optical properties and Valence
Band states character was numerically investigated from the effect of
nanostructure geometry and composition. Numerical simulation was carried out
using Luttinger Kohn model adapted to the particular use case of QDs in
inverted pyramids. We present the source code of the 4 band Luttinger Kohn
model that can be used to model AlGaAs or InGaAs nanostructures. Here we focus
on the optical properties study of GaAs/AlGaAs [111] QDs and Quantum Dot
Molecules (QDMs). We examine the dependence of Ground State (GS) optical
properties on their structural parameters and predict optimal parameters of the
QD and QDM systems to achieve the dynamic control of GS polarization by the
applied electric field.
