This work was supported in part by the National Science Foundation under Grant No. PHY94-15583. The author also expresses his appreciation to the members of the Rochester Theory Center for Optical Science and Engineering and The Institute of Optics at the University of Rochester for valuable discussions and hospitality during his sabbatical visit.
Physical Review A
Lasers -- Analysis, Lasers -- Mathematical models
The rate-equation approximation is one of the most fundamental and universally employed simplifications in laser analyses. The accuracy and regions of applicability of this approximation are explored in comparisons with more rigorous semiclassical models. Higher-order rate-equation approximations are also developed, and these improved models can yield 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 governing other physical systems.
Casperson, L. W. (1997). Rate-equation approximations in high-gain lasers. 55 (4), 3073-3085.