An analysis is made of simultaneous propagation of pulses of different frequencies in many-level resonantly amplifying and absorbing media. Analytic expressions are obtained for the envelopes of fields in the case of propagation of two-frequency radiation in a three-level medium with a common lower level. Self-similar equations are obtained for the radiation propagating in an amplifying medium; in certain special cases, these equations are identical with those considered earlier.

Soviet Journal of Quantum ElectronicsJul 31, 19825 citations

Soviet physics. Doklady

Propagation of a radiation pulse in a resonantly absorbing gaseous medium

Vladimir Anatol’evich Levin, A. A. Sorokin, Alexander M. Starik

Published Apr 1, 1987• 0 citations

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{\mathrm{F}}_{6}

. The degeneracy of overlapping levels of S

{\mathrm{F}}_{6}

in that spectral region is important, and enables us to use a simple model to describe observed phenomena. We assume a continuous distribution of dipole moments. Results are particularly interesting in two regimes of excitation. One corresponds to very strong excitation and \ensuremath{\sim}20 absorption lengths in the medium: Pulses sharpen at their leading edge, while their front part gets absorbed. The other pertains to much lower excitation and only 2 absorption lengths: Reradiation can be distinguished and long delays result which qualitatively resemble the behavior of a two-level system in self-induced transparency. Fairly conclusive agreement is obtained between a previous theoretical treatment of a homogeneously broadened multilevel medium and experiment. The agreement is substantiated by computer calculations. In three Appendixes we present the observation of focusing effects, the theory of an experiment related to transient nutation, and some remarks on photon-echo polarization experiments in optically thick media.