A computer simulation of the effects of frequency detuning on coherent optical pulse combination and area evolution in an absorbing medium is given. We have found that the pulse combination and break-up, as well as stable pulse area, disappear when δ≠0.
A numerical analysis is made of the frequency dependence of the evolution of the envelopes and energy loss of short optical pulses propagating under two-photon resonance conditions. It is established that for pulses with an initial energy situated in the range 2 π ( m +1)> θ o >2 π m , there are m intervals of resonance-frequency detunings within which the pulse evolution differs qualitatively. It is shown that a quasimultistage frequency dependence of the energy loss for a fixed length of medium may serve as a test for the coherence of the resonant interaction.
When an intense and short laser pulse or a fast-switching-on/off laser field interacts with a resonant absorbing medium, several optical coherent transient effects can be observed, including the self-induced transparency effect, photon echo effect, optical nutation effect, and the optical free induction decay effect. The study of these effects enables us to gain a deeper understanding of the coherent transient interaction of an intense pulsed or rapidly switched optical field with the resonant medium, and to measure the magnitude of the dipole-moment matrix elements, relaxation parameters, and spectral broadening mechanisms of the investigated materials. On the other hand, these optical coherent transient effects can also be applied for developing special techniques of optical pulse delay, pulse reshaping, and optical pulse manipulation.
The dynamics of pulse amplification in a medium containing two atomic components (one absorbing, one amplifying) is investigated in the regime in which the pulse interacts coherently with both components. It is shown that a pulse in this two-component medium may be amplified, absorbed, or broken up into a series of pulses, depending on the density of the absorbing species and the initial area of the pulse. Threshold values are determined for the impurity density and the area of the incident pulse. The possibility of pulse shortening during amplification is demonstrated.
An investigation of the propagation properties of a short pulse in a resonant absorber with a homogeneously broadened transition is presented with two main questions in mind: 1) the influence of the input pulse area on the transitory regime and on the steady-state propagation; 2) the effects of atomic coherence on the pulse shaping and the time delay of the leading edge of the pulse. The transitory regime of a propagating pulse is investigated and the stability of some asymptotic wave form confirmed. As expected, the transversal relaxation mechanism affects critically the major features of the coherent interaction. A detailed analysis of this problem is also presented.