By means of numerical simulation of the optical and electrical performance,
we have designed 650-nm GaInP-AlGaInP quantum-well lasers with mode expans
ion layers which have a narrow vertical far-field divergence without sacrif
icing threshold current or threshold current temperature dependence. We hav
e reduced the measured vertical far-field divergence in a 650-nm laser stru
cture from 35 degrees to 24 degrees full-width at half-maximum without chan
ging the threshold current, operating voltage, or threshold current tempera
ture dependence. We have also calculated the tolerances in the thickness an
d composition necessary to realize this design in practice.