“…frO'(k) andf(P)(k) are implicitly dependent on the optical field and injection current in the active region. To make the process self-consistent we use the very different time scales for population relaxation (r,,s) and carrier intraband scattering (re, 71, -1 0 -l~ s) to solve for carrier density in the presence of injection current and optical power [(24) and (25)]. Equations (3)-(5) can be solved directly for the perturbed distributions f,(k) and fh(k) in a manner similar to that used in a two-level system 1221…”