Studying semiconductor lasers with multimode rate equations

After the summation over terms that describe interactions between carriers and photons of various diode modes is worked out, implicit-form analytical solutions to the multimode rate equations of a semiconductor laser are obtained within the framework of the mean field approximation. With emphasis on the threshold region, several laser characteristics of importance, such as the carrier density, photon density, and output spectral width, have been investigated theoretically and experimentally.