This work was supported in part by the National Science Foundation and by Tektronix, Inc. The author also expresses his appreciation to members of the Department of Physics at the University of Otago, Dunedin, New Zealand, for valuable discussions and hospitality during his sabbatical visit.
Physical Review A
Field theory (Physics), Transients (Dynamics), Lasers
Semiclassical models for laser-dynamics studies typically incorporate a derivative approximation that reduces the second-order wave equation for the electric field to a first-order equation. It is shown here that this approximation and further frequency approximations are not necessary and may lead to significant errors for some high-gain laser systems. A more exact analysis also reveals a partial decoupling of the electric and magnetic fields that occurs with fast transient phenomena. These ideas are illustrated in terms of well-known dynamical effects.
Casperson, L. W. (1991). Field-equation approximations and the dynamics of high-gain lasers. 43 (9), 5057-5067.