Y. Lam et J. Singh, MONTE-CARLO ANALYSIS OF THE CARRIER RELAXATION PROCESSES IN LINEAR-GRINSCH AND PARABOLIC-GRINSCH QUANTUM-WELL LASER STRUCTURES, IEEE journal of quantum electronics, 30(5), 1994, pp. 1196-1203
The carrier relaxation process is widely acknowledged to have a strong
bearing on the modulation limit of quantum well lasers. As a first an
d crucial step toward achieving a better understanding of this phenome
non, we have developed a numerical technique to study such processes i
n graded-index separate confinement heterostructure quantum well laser
structures having an arbitrary grading profile. We base our approach
on ensemble Mote Carlo stimulation of the carrier transport in the 3-D
graded-index region and in the 2-D quantum well. We also introduce a
technique to handle the carrier capture and re-emission processes with
in the Monte Carlo method. The results obtained from our calculations
for a number of structures with quantum well sizes 50-100 angstrom ind
icate that the overall carrier capture time is about 5-7.5 ps under lo
w injection condition for the linearly graded structures, and signific
antly longer for the parabolically graded structures. On the other han
d, the carrier capture efficiency is found to be higher for the parabo
lic graded-index structures. We also compare our calculations to publi
shed experiments and find good agreement.