RATE-EQUATION APPROXIMATIONS IN HIGH-GAIN LASERS

The rate-equation approximation is one of the most fundamental and uni versally employed simplifications in laser analyses. The accuracy and regions of applicability of this approximation are explored in compari sons with more rigorous semiclassical models. Higher-order rate-equati on approximations are also developed, and these improved models can yi eld much better accuracy than conventional rate equations with Little added complexity. The modified adiabatic elimination methods reported here would also be useful in reducing the mathematical models governin g other physical systems.