Destabilization of the non-lasing solution in open three-level systems

Xie, Fan; Liu, Chengpu; Tian, Shufen; Xu, Hui; Zhu, Manzhou; Jing-juan, LI

doi:10.1080/09500340308235522

Cited by 7 publications

(8 citation statements)

References 8 publications

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“…In [4] we discussed the instability regions of the Pitchfork bifurcation in the resonant open V-type system. Now we explore the transient evolution process and steady output of the continuous wave LWI originating from Pitchfork bifurcation instability.…”

Section: Continuous Wave Lwimentioning

confidence: 99%

“…and other parameters values are selected according to the result given in [4]. The values of g are given in MHz 2 , and the other parameters values are given in MHz.…”

Section: Continuous Wave Lwimentioning

confidence: 99%

“…Mompart et al [14] pointed out that in a closed resonant V system, destabilization of the nonlasing solution appears only through Pitchfork bifurcation. We [4] found that in an open resonant V system destabilization of the nonlasing solution can be obtained not only through Pitchfork bifurcation but also through Hopf bifurcation, moreover, we discussed the effects of parameters of the system on both bifurcations. From the nonlinear dynamics viewpoint, the lasing arising always corresponds to a loss of stability of the nonlasing stationary solution.…”

Section: Introductionmentioning

confidence: 97%

“…From the nonlinear dynamics viewpoint, the lasing arising always corresponds to a loss of stability of the nonlasing stationary solution. Basing on the study [4], we explore the transient evolution processes and steady outputs of the continuous wave LWI originating from Pitchfork bifurcation instability, and self-pulsing LWI originating from Hopf bifurcation instability, and discuss the effects of the gain parameter, damping rate, ratio of atomic injection rates and atomic exit rate on the transient evolution processes and steady outputs of the two kinds of LWI.…”

Section: Introductionmentioning

confidence: 99%

“…Since the seminal works of Kocharovskaya, Harris and Scully et al [1], lasing without inversion (LWI) has attracted tremendous attention (for example, see recent review [2] and papers [3][4][5][6][7][8][9] and references therein). Several schemes have been proposed over the past few decades to realize LWI.…”

Section: Introductionmentioning

confidence: 99%

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Investigation of transient process and steady output of lasing without inversion

Fan

Tong

et al. 2005

Journal of Modern Optics

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The transient evolution processes and steady outputs of continuous wave lasing without inversion (LWI) and self-pulsing LWI in a resonant open V type threelevel system are studied. It was found that the two kinds of LWI have some obvious differences not only from the steady outputs but also from the transient evolution processes. The effects of the unsaturated gain coefficient, cavity loss coefficient, ratio of the atomic injection rates and atomic exit rate on the transient evolution processes and steady outputs are discussed.

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Section: Continuous Wave Lwimentioning

confidence: 99%

“…and other parameters values are selected according to the result given in [4]. The values of g are given in MHz 2 , and the other parameters values are given in MHz.…”

Section: Continuous Wave Lwimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Investigation of transient process and steady output of lasing without inversion

Fan

Tong

et al. 2005

Journal of Modern Optics

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Enhancement of lasing without inversion induced by spontaneously generated coherence in an open ladder-type system

Xie

et al. 2006

Optoelectron. Lett.

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It is shown that, in an open ladder-type atomic system with spontaneously generated coherence (SGC), regardless of the existence of an incoherent pumping, a lasing without inversion (LWI) gain is always remarkable larger than in the system without SGC, by adjusting the strength of SGO. Moreover, LWI gain in the system without incoherent pumping is much larger than that with incoherent pumping, within some strength of SGO; while in the corresponding closed system with SGO, we can-t obtain LWI gain at any strength of SGO, if no incoherent pumping is applied. Recently, investigation of effects of spontaneously generated coherence (SGC, also known as vacuum-induced coherence) on gain (absorption), dispersion, populations and etc. has attracted much attention c1~93. However,most of these studies are carried out in closed atomic systems. For example, Menon and Agarwal E~j showed that in a closed A_type atomic system, SGC induces electromagnetically induced transparency (EIT) and coherent population trapping (CPT),which changes the time scales related to the CPT state and brings quantitative changes in the line profile; Cheng et al. E~3 found that optical bistability (OB) can be obtained due to SGC within certain parameter range and the SGC significantly affects the OB behavior in a ladder-type atomic system. In this paper, we will analyze the effects of SGC on LWI in an open laddePtype system D~ The open ladder-type of three level atomic system considered here is shown in Fig. 1. The transition I1 -* 12> is coupled by a strong driving field of frequency w~ with Rabi frequency G =/z~3 9 e~/r/,while the transition 12>-* 13> is coupled by a weak probe field of frequency o4 with Rabi frequency g :/~1~ 9 e jr/. The level 12> (13>) spontaneously decays to level [ 1>(12>) at the rate )'~ (7~). A~ and A2 denote the frequency detuning of the driving laser and the probe laser, respectively. The atomic injection rates for levels I1> and 12 are ]~ and J~ ,respectively. The atomic exit rate from the cavity is r0. An incoherent pump with a pumping rate R is applied between levels [1> and [3>. In such a case,the density-matrix equations in a rotating frame can be written as In the following discussion, ]1 3. J2 = r0 is necessary to keep the total number of the atoms constant. Here, two coupling fields of different frequencies are included, resulting in an additional term of (2pv/~u P23 ) in the optical Bloch equation, as an effect of SGC. A parameter

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