We present a variational approach to the calculation of band structure for
semiconductor heterostructures. The time-independent action integral is min
imized to derive a discretized version of the coupled Schrodinger equations
within the multi-band envelope function approximation. This leads to a cle
ar procedure for systematically improving the solutions. The numerical impl
ementation of this method has provided the impetus towards the development
of wave function engineering, which may be defined as the ability to specif
y the localization of carrier wave functions in quantum semiconductor nanos
tructures through control over the growth, geometry, and material compositi
on. Recent developments in the design and successful implementation of type
-II antimonide quantum-well lasers have been a direct consequence of the ap
plication of wave function engineering. Various aspects of the laser design
for high temperature and high efficiency operation are considered, and a c
omparison of the theory with experimentally demonstrated devices is made. (
C) 1999 Elsevier Science Ltd. All rights reserved.