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Journal of Optoelectronics·laser

Influence of SGC on propagation effect in an open V-type three-level system

Fan Xi-jun

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

In this paper we study the influence of spontaneously generated coherence (SGC) on propagation effect and the modulation role of the atomic exit rate(r0)and ratio(S) of the atomic injection rates on the SGC-dependent propagation effect in an open V-type three-level lasing without inversion(LWI) system with Doppler broadening,by using the calculation results of the density matrix motion equations and the propagation equations of the driving and probe fields,in order to get larger LWI gain and intensity of the probe field.It is shown that with propagation distance increasing,LWI gain and Rabi frequency(intensity) of the probe field first increase and then decrease,while the Rabi frequency(intensity) of the driving field decreases monotonously;LWI gain and Rabi frequency(intensity) of the probe field increase with SGC strength(measured by θ) increasing.When θ=π,we can obtain the largest LWI gain and Rabi frequency(intensity) of the probe field;in the case with SGC,we can get much larger LWI gain and Rabi frequency(intensity) of the probe field than those in the case without SGC.In certain value ranges of r0 and S,LWI gain and Rabi frequency(intensity) of the probe field increase with r0 and S increasing.By choosing proper values of γ0 and S,in the open system we can obtain much higher LWI gain and Rabi frequency(intensity) of the probe field than those in the corresponding closed system.

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Acta Physica Sinica•Jan 1, 2009•7 citations
In this paper we study the influence of spontaneously generated coherence (SGC) on propagation effect and the modulation role of the atomic exit rate(r0)and ratio(S) of the atomic injection rates on the SGC-dependent propagation effect in an open V-type three-level lasing without inversion(LWI) system with Doppler broadening,by using the calculation results of the density matrix motion equations and the propagation equations of the driving and probe fields,in order to get larger LWI gain and intensity of the probe field.It is shown that with propagation distance increasing,LWI gain and Rabi frequency(intensity) of the probe field first increase and then decrease,while the Rabi frequency(intensity) of the driving field decreases monotonously;LWI gain and Rabi frequency(intensity) of the probe field increase with SGC strength(measured by θ) increasing.When θ=π,we can obtain the largest LWI gain and Rabi frequency(intensity) of the probe field;in the case with SGC,we can get much larger LWI gain and Rabi frequency(intensity) of the probe field than those in the case without SGC.In certain value ranges of r0 and S,LWI gain and Rabi frequency(intensity) of the probe field increase with r0 and S increasing.By choosing proper values of γ0 and S,in the open system we can obtain much higher LWI gain and Rabi frequency(intensity) of the probe field than those in the corresponding closed system.
By using the numerical calculation results of the density matrix equations of motion of a closed Λ-type inversionless lasing system,the effects of the propagation of light fields on the gain of lasing without inversion(LWI),Rabi frequencies of the probe and driving fields,and the modulation role of spontaneously generated coherence(SGC) on the effects were investigated when the Doppler broadening presents.It was shown that,with the distance increasing,LWI gain first increases and then decreases,Rabi frequency of the probe field(the driving field) increases monotonously(decreases);at a specific propagation distance,LWI gain first increases and then decreases with increasing of the Rabi frequency of the driving field at the entrance of the medium,and LWI gain decreases monotonously with increasing of the Doppler broadening width;SGC has a remarkable manipulation role on the effect of propagation of the light fields,the LWI gain with SGC is much larger than that without SGC.
The propagation effect in an open V-type three-level atomic system with spontaneously generated coherence is studied by numerical calculation. The results show that changing the relative phase between the probe and driving field has an important effect on variations of gain and intensity of lasing without inversion (LWI) with propagation distance, i.e. spatial evolution; variation of ratio (S) between the atomic injection rate and atomic exit rate (r0) has a remarkable modulation role in phase-dependent spatial evolution. In a certain range of S (r0), with value of S (r0) increasing, LWI gain and intensity increase and the propagation distance needed for reaching an intensity maximum value becomes longer; In a corresponding closed system, the maxima of LWI gain, intensity and the propagation distance along which the gain can be produced are smaller than in an open system. The Doppler effect also has an obvious influence on spatial evolutions of LWI gain and intensity, values of LWI gain and intensity are smaller in the presence of Doppler effect than in the absence of Doppler effect.
We have studied the effect of the spontaneously generated coherence (SGC) on gain of lasing without inversion (LWI) in a closed three-level Λ-type atomic system with Doppler broadening. It is shown that, regardless of the driving and probe fields being co- or counter-propagating, at a suitable value of the Doppler width, we can obtain a much larger LWI gain with SGC than that without SGC; and the region of the LWI gain spectrum with SGC is obviously larger than that without SGC. When the Doppler width takes a constant value, the gain does not monotonically decrease or increase with increasing strength of SGC, the largest LWI gain can be obtained by adjusting strength of SGC. Generally speaking, the co-propagating probe and driving fields is favourable to obtain a larger LWI gain.
The effect of spontaneously generated coherence on the gain of lasing without inversion(LWI) is studied in an open quasi-Λ type four-level atomic system with Doppler broadening from different respects.The results show that,for a fixed SGC strength,LWI gain decreases with increasing the value of the Doppler width;no matter the Doppler broadening is obvious or not,the LWI gain larger than that without SGC always can be gotten by choosing suitable value of the SGC strength,and this difference becomes more evident with the Doppler width decreasing;the atomic exit and injection rates also can dramatically affect LWI gain;a much larger LWI gain in open system than that in the corresponding closed system can be obained.
It is shown that in a Doppler broadened open N-type four-level atomic system with spontaneously generated coherence (SGC), the gain without inversion (GWI) is very sensitive to the variation of the relative phase between the probe field and the driving field; the atomic exit rate (R0) and the ratio (S) of the atomic injection rates have a considerable modulation effect on the phase-dependent GWI. GWI first increases and then decreases with R0 increasing; in a certain value range of S, GWI increases monotonically with S increasing; by adjusting the values of R0 and S, in an open system a much larger GWI can be obtained than in the corresponding closed system [2011 Phys. Rev. A 83 043805]. The modulation effects of R0 and S on the phase-dependent GWI in the case with the counter-propagating probe and driving fields are stronger than those in the co-propagating case, GWI in the co-propagating case is much larger than that in the counter-propagating case.
The effect of spontaneously generated coherence (SGC) on transient evolution of gain of lasing without inversion (LWI) and modulation roles of the injection rate ratio and exit rate on SGC-dependent gain in an open Ladder type three level system are studied by using the numerical solution of the density matrix motion equation of the system. It was shown that: variation of SGC strength will make the transient and final stationary gains having a considerable changing; when incoherent pumping presents, LWI gain increases with the ratio of injection rates and exit rate decreasing, however, when incoherent pumping is absent, the case is just the opposite; by choosing suitable values of SGC strength, the injection rate ratio and exit rate, we can obtain the largest transient and final stationary gain.