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Chin. Phys. B, 2009, Vol. 18(12): 5342-5349    DOI: 10.1088/1674-1056/18/12/037

Comparison between effects of Doppler broadening on pure and non-pure inversionless gains with frequency up-conversion

Fan Xi-Jun(樊锡君)a), Ma Hui(马慧)b), Liu Zhong-Bo(刘中波)a), and Tong Dian-Min(仝殿民)c)
a College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; b School of Mathematics and Physics, Shandong Institute of Light Industry, Jinan 250353, China; c School of Physics and Microelectronics, Shandong University, Jinan 250100, China
Abstract  A study is made of the effects of Doppler broadening on pure gain without inversion, which means that neither one-photon nor two-photon inversions are allowed, and non-pure gain without inversion, which means that one-photon inversion does not occur but two-photon inversion is present, in a closed $\Lambda$-type three-level system with incoherent pumping. It is shown that when the driving field is resonant but the probe field is not, in a certain range of Doppler width, for the case of the lower degree of frequency up-conversion, generally, pure gain without inversion increases monotonically and non-pure gain without inversion does not monotonically increase or decrease with increasing Doppler width; for the case of the higher degree of frequency up-conversion, pure gain without inversion decreases monotonically but non-pure gain without inversion cannot be produced. In the case of two-photon resonance, in some range of Doppler width, pure gain without inversion does not monotonically increase or decrease while non-pure gain without inversion decreases monotonically with Doppler width increasing. Finally, an experimental scheme for examining our theoretical result is given.
Keywords:  $\Lambda$-type three-level system      Doppler broadening      gain without inversion      frequency up-conversion  
Received:  08 March 2009      Revised:  06 May 2009      Accepted manuscript online: 
PACS:  42.50.Gy (Effects of atomic coherence on propagation, absorption, and Amplification of light; electromagnetically induced transparency and Absorption)  
  32.70.Jz (Line shapes, widths, and shifts)  
  37.10.Vz (Mechanical effects of light on atoms, molecules, and ions)  
Fund: Project supported by the Natural Science Foundation of Shandong Province, China (Grant No Y2006A21) and the National Natural Science Foundation of China (Grant No 10675076).

Cite this article: 

Fan Xi-Jun(樊锡君), Ma Hui(马慧), Liu Zhong-Bo(刘中波), and Tong Dian-Min(仝殿民) Comparison between effects of Doppler broadening on pure and non-pure inversionless gains with frequency up-conversion 2009 Chin. Phys. B 18 5342

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