• Laser & Optoelectronics Progress
  • Vol. 60, Issue 7, 0719001 (2023)
Guiyin Zhang1、*, Xiaorui Wu1, Songtao Li1, and Haiming Zheng2
Author Affiliations
  • 1School of Mathematics and Physics, North China Electric Power University, Baoding 071003, Hebei, China
  • 2Department of Mechanical Engineering, North China Electric Power University, Baoding 071003, Hebei, China
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    DOI: 10.3788/LOP220733 Cite this Article Set citation alerts
    Guiyin Zhang, Xiaorui Wu, Songtao Li, Haiming Zheng. Population Inversion Under Driven of Double Laser Fields[J]. Laser & Optoelectronics Progress, 2023, 60(7): 0719001 Copy Citation Text show less

    Abstract

    Based on the open trapezoidal three-energy level atomic model and density matrix equation theory, the variation of population with time during double-color and double-resonant enhanced multiphoton ionization is numerically simulated under different parameters. When the frequency detuning of two lasers is zero, the populations of the ground as well as first- and second-excited states exhibit damping Rabi oscillation with time. The oscillation frequency of the population distributed in the first-excited state is twice that in the ground and second-excited states. Large population inversion occurs between the second-excited and ground states and exhibits the possibility for the output of coherent light with short wavelengths. Furthermore, the oscillation frequency and population inversion increase with Rabi frequency. Population inversion is evident as the two lasers become synchronous.
    ρ11t=iΩ212ρ21-ρ12+Γ21ρ22
    ρ22t=iΩ322ρ32-ρ23+iΩ212ρ12-ρ21+Γ32ρ33-Γ21ρ22
    ρ33t=iΩ322ρ23-ρ32-Γ32ρ33-Rρ33
    ρ32t=d32ρ32-iΩ322ρ33-ρ22-iΩ212ρ31-R2ρ32
    ρ31t=d31ρ31+iΩ322ρ21-iΩ212ρ32-R2ρ31
    ρ21t=d21ρ21-iΩ212ρ22-ρ11+iΩ322ρ31ρii=1-ρ11-ρ22-ρ33
    Ωij=Ωij0exp -t-t02/τij/22
    Guiyin Zhang, Xiaorui Wu, Songtao Li, Haiming Zheng. Population Inversion Under Driven of Double Laser Fields[J]. Laser & Optoelectronics Progress, 2023, 60(7): 0719001
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