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Chin. Phys. B, 2022, Vol. 31(6): 063201    DOI: 10.1088/1674-1056/ac5398

Simulating the resonance-mediated (1+2)-three-photon absorption enhancement in Pr3+ ions by a rectangle phase modulation

Wenjing Cheng(程文静)1,†, Yuan Li(李媛)1, Hongzhen Qiao(乔红贞)1, Meng Wang(王蒙)1, Shaoshuo Ma(马绍朔)1, Fangjie Shu(舒方杰)1, Chuanqi Xie(解传奇)2, and Guo Liang(梁果)1,3
1 Henan Province Engineering Research Center of Microcavity and Photoelectric Intelligent Sensing, School of Electronics and Electrical Engineering, Shangqiu Normal University, Shangqiu 476000, China;
2 Department of Ophthalmology, First People's Hospital of Shangqiu, Shangqiu 476000, China;
3 The Key Laboratory of Weak Light Nonlinear Photonics Nankai University of Ministry of Education, Tianjin 300457, China
Abstract  Enhancing the upconversion luminescence of rare earth ions is crucial for their applications in the laser sources, fiber optic communications, color displays, biolabeling, and biomedical sensors. In this paper, we theoretically study the resonance-mediated (1+2)-three-photon absorption in Pr3+ ions by a rectangle phase modulation. The results show that the resonance-mediated (1+2)-three-photon absorption can be effectively enhanced by properly designing the depth and width of the rectangle phase modulation, which can be attributed to the constructive interference between on-resonant and near-resonant three-photon excitation pathways. Further, the enhancement efficiency of resonance-mediated (1+2)-three-photon absorption can be affected by the pulse width (or spectral bandwidth) of femtosecond laser field, final state transition frequency, and absorption bandwidths. This research can provide a clear physical picture for understanding and controlling the multi-photon absorption in rare-earth ions, and also can provide theoretical guidance for improving the up-conversion luminescence.
Keywords:  coherent quantum control      femtosecond pulse shaping      three-photon absorption      rare-earth ions  
Received:  12 November 2021      Revised:  21 January 2022      Accepted manuscript online:  10 February 2022
PACS:  32.80.Qk (Coherent control of atomic interactions with photons)  
  32.80.Wr (Other multiphoton processes)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12004238 and 11764036), the Natural Science Foundation of Henan Province, China (Grant No. 222102230068), and the Open Subject of the Key Laboratory of Weak Light Nonlinear Photonics of Nankai University (Grant No. OS 21-3).
Corresponding Authors:  Wenjing Cheng     E-mail:

Cite this article: 

Wenjing Cheng(程文静), Yuan Li(李媛), Hongzhen Qiao(乔红贞), Meng Wang(王蒙), Shaoshuo Ma(马绍朔), Fangjie Shu(舒方杰), Chuanqi Xie(解传奇), and Guo Liang(梁果) Simulating the resonance-mediated (1+2)-three-photon absorption enhancement in Pr3+ ions by a rectangle phase modulation 2022 Chin. Phys. B 31 063201

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