Behavior of transmitted wave in gain media

K.M. Hung, R. Gutiérrez-Castrejón, Trevor J. Hall

А. В. Андреев, P. V. Polevoy

C. W. A. Paschoal, J.C. Penaforte, I. Guedes

In this work we extend the conventional theory of the two-wave mixing in Kerr-like media, in order to take into account two different contributions to nonlinear gain. To this end, we use a modified Debye relaxation relation to obtain the dynamical behavior of the nonlinearity and consequently, derive the expressions for pump and probe wave intensities. The two-wave mixing gain coefficient Γ1 is calculated as a function of several parameters.

Louis Sica

Solutions to the four-wave mixing problem asymptotically approach a spatial steady state over large interaction distances. In this limit, intensities of the two-point boundary value problem may be found from solutions to quadratic equations. The different limiting behavior exhibited for positive and negative gain has important implications for applications in which linearity of system response is important. In the regime studied, positive gain leads quickly to maximally depleted pumps with increasing input signal. For negative gain, such depletion does not occur until higher signal levels are reached.

Eugeny Sergeevich Andrianov, Eugeny D. Chubchev, A. V. Dorofeenko +3 more

Jan I. H. Askne