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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Unstable gain regime of the transient two-frequency interaction of radiation with the inhomogeneously broadened quantum transitions

Oleg M. Parshkov, Alexey E. Dmitriev, Andrey L. Vershinin

Published May 10, 1996• 0 citations
Publisher

Abstract

The problem of stationary-gained modes formation under conditions of transient double resonance inspired by 2(pi) -pulse of pump and low-intensity signal radiation is investigated. One demonstrates the possibility of different shapes stationary-gained signal pulse formation and investigates the conditions of their arising and stability. The effect of inhomogeneous broadening of spectral transition lines on the mode formation is studied too.

DOI
10.1117/12.239459

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Transient regime ofcommon-upper-level scheme double resonance isstudied numerically. Itwas shown that inthepresence ofresonance detunings inchannels ofinteraction andwith taking into account ofin- homogeneous broadening ofresonant transition lines theprocess ofstationary gained signal pulse forming isac- companied withsignal carrier frequency pulling tothevalue that iscorresponding somecondition. Thisrelates frequency detunings with transition central frequencies anddiffers fromsuch conditions forRamanscattering. In somecases. Satisfaction ofthis condition provides theeffective conversion ofpumppulse energy into signal one.Depends onfrequency detuning values one-ortwo-pulse structure will arise insignal channel. Tovary these detunings itispossible tomanipulate ofsignal pulse magnitudes andoftimeshift between them. Keywords: double resonance, inhomogeneous broadening, resonance detunings Non-stationary regime ofdouble resonance isaroused whendurations ofexcitant pulses areconsiderably less than times ofirreversible relaxation ofquantum transitions andthenef- fects ofrelaxation processes areexcluded infact. Analytical results oftheory ofnonlinear stage ofnon-stationary double resonance produced uptonowadays related mainly withcase ofspectrally homogeneous medium. Realmediae.g. diluted gases duetoDoppler effect have inhomogeneously broadened lines ofspectral transitions. Theobjective ofthis work-nu- merical simulation ofprocess non-stationary double resonance with taking into account ofde- tunings ofpulse carrier frequencies fromcentral lines ofquantum transitions andofDoppler broadening ofspectral lines. Ourconsideration isrestricted bythesupposition that width of inhomogeneously broadened line oftransition withgreater frequency isgreatly overpass the spectral widths ofinteracting pulses onentrance surface ofresonant medium. Andthenwe consider only A-configuration ofquantum transitions. Onwards thelevels ofA-configuration will belabeled according toenergy growth as1, 2,3.Frequencies ofappropriated quantum transitions ofstable (moving) atomdesignated as

•Jan 1, 2005•0 citations
The problem of stationary-gained modes formation under conditions of transient double resonance inspired by 2(pi) -pulse of pump and low-intensity signal radiation is investigated. One demonstrates the possibility of different shapes stationary-gained signal pulse formation and investigates the conditions of their arising and stability. The effect of inhomogeneous broadening of spectral transition lines on the mode formation is studied too.
Transient regime of common-upper-level scheme double resonance is studied numerically. It was shown that in the presence of resonance detunings in channels of interaction and with taking into account of inhomogeneous broadening of resonant transition lines the process of stationary gained signal pulse forming is accompanied with signal carrier frequency pulling to the value that is corresponding some condition. This relates frequency detunings with transition central frequencies and differs from such conditions for Raman scattering. In some cases. Satisfaction of this condition provides the effective conversion of pump pulse energy into signal one. Depends on frequency detuning values one- or two-pulse structure will arise in signal channel. To vary these detunings it is possible to manipulate of signal pulse magnitudes and of time shift between them
The transient double resonance in the Λ scheme is numerically investigated in the case of a strong inhomogeneous spectral broadening of a medium and nonzero detunings of the frequencies of interacting pulses from the central frequencies of corresponding quantum transitions. It is shown that the signal pulse efficiently interacts with the pump pulse only when a certain condition imposed on the nonzero detunings is satisfied. If this condition is strongly violated at the input to the resonance medium, only a weak field of the rear edge of the input signal pulse mainly interacts with the pump field. In this case, two pulses with different frequencies are formed in the signal channel. This is explained by the specific interaction of radiation with Doppler-broadened quantum transitions.
One consider the amplification of pulses of coherent light in the resonant three-level active media that is excited by short power pulse of coherent light according to the common-upper- level double resonance scheme. The radiation with major frequency (pump) is supposed to be stronger than one with minor frequency (signal). The self-induced transparency is supposed to be established in the pump channel. The exponential growth of stationary shape short signal pulses is studied mainly. One shows that when any described here conditions for initial signal pulse shape are meeting the stationary gained signal pulse of complicated form can be formed. The gains of these pulses are less than ones for signal pulses of quasi-hyperbolic-secant form. Therefore in the case of incomplete condition meeting the competition between the exponentially growing signal pulses with different gains and shapes leads finally to the overwhelming of signal pulse with quasi-hyperbolic-secant-shape form. The effect of inhomogeneous broadening of spectral transition lines on the parameters of signal pulses was studied too. Evaluations that were carried out for any atomic gases show that described in this paper phenomena can be produced at realistic levels of power and duration of pump and signal pulses.
A theoretical study is made of a linear, in respect of the field of lower frequency (signal), transient double resonance in a system with a shared upper level. The radiation of higher frequency (pump) is selected to be a 2π pulse which is spectrally much narrower than the contour of the Doppler scatter of the frequencies of a transition which is in resonance with this pulse. A condition is found for the appearance of a signal pulse of constant profile moving at the velocity of the pump pulse and growing exponentially in the course of its propagation into a resonant medium. It is shown that in general the energy of a signal pulse depends nonmonotonically on the energy of the pump pulse: there is an optimal value of the pump energy at which the rate of rise of the signal energy is maximal. A study is made of the efficiency of a double resonance on the detuning from a resonance in the pump and signal channels.
A theoretical investigation is made of an essentially nonstationary double resonance excited in a system with a common upper level in the field of a 2π pump pulse and of constant low-intensity signal radiation. The conditions are found for the formation of an exponentially amplified signal pulse of asymptotically constant profile moving at the velocity of the pump pulse. A study is made of the relationship between the signal pulse parameters and the parameters of the medium and of the pump pulse. It is shown that competition between the local and wave transient processes is responsible for the existence of an optimal pump pulse energy which depends on the values of the detuning from a resonance in the pump and signal channels. When this optimal energy is exceeded, the output signal pulse energy decreases. It is demonstrated that when the initial values of the detuning in the two channels are unequal the formation of a signal pulse is accompanied by pulling of the signal frequency to the value which satisfies the conditions of equality of the detuning values. During the early stages of formation of the signal pulse this results in splitting into a train of several pulses which are shorter than the pump pulse.
Transient regime ofcommon-upper-level scheme double resonance isstudied numerically. Itwas shown that inthepresence ofresonance detunings inchannels ofinteraction andwith taking into account ofin- homogeneous broadening ofresonant transition lines theprocess ofstationary gained signal pulse forming isac- companied withsignal carrier frequency pulling tothevalue that iscorresponding somecondition. Thisrelates frequency detunings with transition central frequencies anddiffers fromsuch conditions forRamanscattering. In somecases. Satisfaction ofthis condition provides theeffective conversion ofpumppulse energy into signal one.Depends onfrequency detuning values one-ortwo-pulse structure will arise insignal channel. Tovary these detunings itispossible tomanipulate ofsignal pulse magnitudes andoftimeshift between them. Keywords: double resonance, inhomogeneous broadening, resonance detunings Non-stationary regime ofdouble resonance isaroused whendurations ofexcitant pulses areconsiderably less than times ofirreversible relaxation ofquantum transitions andthenef- fects ofrelaxation processes areexcluded infact. Analytical results oftheory ofnonlinear stage ofnon-stationary double resonance produced uptonowadays related mainly withcase ofspectrally homogeneous medium. Realmediae.g. diluted gases duetoDoppler effect have inhomogeneously broadened lines ofspectral transitions. Theobjective ofthis work-nu- merical simulation ofprocess non-stationary double resonance with taking into account ofde- tunings ofpulse carrier frequencies fromcentral lines ofquantum transitions andofDoppler broadening ofspectral lines. Ourconsideration isrestricted bythesupposition that width of inhomogeneously broadened line oftransition withgreater frequency isgreatly overpass the spectral widths ofinteracting pulses onentrance surface ofresonant medium. Andthenwe consider only A-configuration ofquantum transitions. Onwards thelevels ofA-configuration will belabeled according toenergy growth as1, 2,3.Frequencies ofappropriated quantum transitions ofstable (moving) atomdesignated as