Exact Solution and Analytic Properties of Coherent Two-Photon Near-Resonant Pulse Propagation under Adiabatic Following Conditions
Coherent propagation of optical pulses in non-linear media is one of the most interesting and difficult problems in quantum optics. Considerable progress has been made in the last decade or so, in understanding the nature of optical pulse propagation under coherent conditions. A number of very interesting and by now well-known phenomena have been predicted and discovered, most of which exhibit self-regulating characteristics. They include such phenomena as self-induced transparency, self-focusing and de-focusing, self-trapping, self-phase modulation, self-broadening; self-steepening and optical-shock formation. They also include such interesting local coherent phenomena as adiabatic inversion, optical nutation and free induction decay and photon-echo. Most of these phenomena have been investigated when the pulse carrier frequency was taken to be resonant or near-resonant with a single-photon transition in the medium.
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