中国物理B ›› 2009, Vol. 18 ›› Issue (12): 5342-5349.doi: 10.1088/1674-1056/18/12/037

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

樊锡君1, 刘中波1, 马慧2, 仝殿民3   

  1. (1)College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; (2)School of Mathematics and Physics, Shandong Institute of Light Industry, Jinan 250353, China; (3)School of Physics and Microelectronics, Shandong University, Jinan 250100, China
  • 收稿日期:2009-03-08 修回日期:2009-05-06 出版日期:2009-12-20 发布日期:2009-12-20
  • 基金资助:
    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).

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)   

  1. 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
  • Received:2009-03-08 Revised:2009-05-06 Online:2009-12-20 Published:2009-12-20
  • Supported by:
    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).

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摘要： 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 Λ-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.

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.

Key words: $\Lambda$-type three-level system, Doppler broadening, gain without inversion, frequency up-conversion

中图分类号:  (Effects of atomic coherence on propagation, absorption, and Amplification of light; electromagnetically induced transparency and Absorption)

  • 42.50.Gy
32.70.Jz (Line shapes, widths, and shifts) 37.10.Vz (Mechanical effects of light on atoms, molecules, and ions)