Title :
Finite-element analysis of valence band structure and optical properties of quantum-wire arrays on vicinal substrates
Author :
Yi, Jong Chang ; Dagli, Nadir
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA
fDate :
2/1/1995 12:00:00 AM
Abstract :
The valence subband dispersion of quantum-wire arrays grown on vicinal substrates in GaAs-AlxGa1-xAs material system is calculated using a finite-element method with periodic boundary conditions. The variational functional for the Luttinger-Kohn Hamiltonian is derived using the integration by parts with proper boundary conditions. The validity of this method is confirmed by calculating subband structure of quantum wells and rectangular quantum wires. Along with the electronic band structure, a detailed study of gain in the quantum-wire arrays with rectangular and serpentine shapes is presented, including the effect of coupling between wires and polarization dependence of the momentum matrix element. Finally, these results are compared to those of quantum wells
Keywords :
III-V semiconductors; aluminium compounds; band structure; boundary-value problems; finite element analysis; gallium arsenide; integrated optics; light polarisation; optical dispersion; semiconductor quantum wires; substrates; variational techniques; GaAs-AlxGa1-xAs material system; GaAs-AlGaAs; Luttinger-Kohn Hamiltonian; boundary conditions; electronic band structure; finite-element analysis; momentum matrix element; optical properties; periodic boundary conditions; polarization dependence; quantum-wire arrays; rectangular quantum wires; serpentine shapes; subband structure; valence band structure; valence subband dispersion; variational functional; vicinal substrates; Boundary conditions; Carrier confinement; Finite difference methods; Finite element methods; Optical arrays; Optical superlattices; Periodic structures; Quantum wells; Shape; Wires;
Journal_Title :
Quantum Electronics, IEEE Journal of
