Numerical modeling of the InAs quantum dot with application of coordinate transformation and the finite difference method

Theory of electronic and optical properties for different shapes of InAs/In0.52Al0.48As quantum wires

“…This same method has been developed for 3D problem and cited it in the reference [13], making simple the modelling of truncated and untruncated pyramidal InAs quantum dot and can be developed for other geometries by adjusting the different parameters.…”

“…It makes simpler the geometry of the structure leading to flat interfaces of the structure and computational domain, and enabling implementation of the FDM within a new coordinate space. We have used this method recently to investigate the electronic and optical properties of InAs quantum dot embedded in GaAs matrix with different shapes [13] and of V-groove GaAs/Ga 1-x Al x As quantum wire [14].…”

Linear and nonlinear susceptibilities in GaN/Al x Ga1−x N quantum wire

“…The model of the coordinate transformation have been used in our latest works for modelling quantum wires and dots [34,35] and gives a good results, compared with experimental data. We present in this part, a bref detail of the mathematical method and we start with the 2D Schrödinger equation:…”