Abstract
Starting from a set of equations derived from a microscope theory we show that the familiar nonlinear gain of the form a/(1+I/Is) introduced in semiconductor laser rate equations phenomenologically should be replaced by a more general form of a/(1+I/Is)b. The new scaling exponent b depends on the relaxation constant γT that describes the rate of heat dissipation from plasma to the lattice due to carrier-phonon scattering.
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