|
|
Ho:YLF晶体光学制冷的性能分析
|
Abstract:
固体激光制冷技术基于反斯托克斯荧光机制,可实现无振动、无电磁干扰的低温制冷,在精密光学仪器和深空探测等领域具有广阔应用前景。掺钬氟化锂钇(Ho:YLF)晶体因其在2 μm波段较大的吸收截面和较低的声子能量,被认为是实现中红外波段光学制冷的候选材料。然而,Ho3+离子丰富的4f能级结构引入了显著的能量传递上转换(ETU)效应,使得传统准二能级模型的预测精度受到限制。本文基于Ho3+的多能级速率方程,建立了包含ETU通道的光学制冷模型,对外量子效率进行了修正,分析了Ho:YLF的净制冷功率密度与制冷效率。
Solid-state laser cooling technology is based on the anti-Stokes fluorescence mechanism to achieve low-temperature refrigeration without vibration and electromagnetic interference, and has broad application prospects in fields such as precision optical instruments and deep space exploration. Holmium-doped lithium yttrium fluoride (Ho:YLF) crystal is considered a candidate material for optical refrigeration in the mid-infrared band due to its large absorption cross section and low phonon energy in the 2 μm band. However, the abundant 4f level structure of Ho3+ ions introduces a significant energy transfer upconversion (ETU) effect, which limits the prediction accuracy of traditional quasi-two-level models. Based on the multi-level rate equation of Ho3+, this paper establishes an optical refrigeration model including ETU channels, corrects the external quantum efficiency, and analyzes the net refrigeration power density and refrigeration efficiency of Ho:YLF.
| [1] | Sheik-Bahae, M. and Epstein, R.I. (2007) Optical Refrigeration. Nature Photonics, 1, 693-699. https://doi.org/10.1038/nphoton.2007.244 |
| [2] | Peysokhan, M., Rostami, S., Mobini, E., Albrecht, A.R., Kuhn, S., Hein, S., et al. (2021) Implementation of Laser-Induced Anti-Stokes Fluorescence Power Cooling of Ytterbium-Doped Silica Glass. ACS Omega, 6, 8376-8381. https://doi.org/10.1021/acsomega.1c00116 |
| [3] | Epstein, R.I., Buchwald, M.I., Edwards, B.C., Gosnell, T.R. and Mungan, C.E. (1995) Observation of Laser-Induced Fluorescent Cooling of a Solid. Nature, 377, 500-503. https://doi.org/10.1038/377500a0 |
| [4] | Gragossian, A., Meng, J., Ghasemkhani, M., Albrecht, A.R., Tonelli, M. and Sheik-Bahae, M. (2017) Enhanced Cooling of Yb:YLF Using Astigmatic Herriott Cell (Conference Presentation). Optical and Electronic Cooling of Solids II, San Francisco, 1-2 February 2017. https://doi.org/10.1117/12.2254623 |
| [5] | Bowman, S.R., O’Connor, S., Condon, N.J., Friebele, E.J., Kim, W., Shaw, B., et al. (2013) Non-Radiative Decay of Holmium-Doped Laser Materials. Laser Refrigeration of Solids VI, San Francisco, 2 February 2013. https://doi.org/10.1117/12.2007511 |
| [6] | Dong, G., Zhang, X. and Li, L. (2013) Energy Transfer Enhanced Laser Cooling in Ho3+ and Tm3+-Codoped Lithium Yttrium Fluoride. Journal of the Optical Society of America B, 30, 939-944. https://doi.org/10.1364/josab.30.000939 |
| [7] | Rostami, S., Albrecht, A.R., Volpi, A. and Sheik-Bahae, M. (2019) Observation of Optical Refrigeration in a Holmium-Doped Crystal. Photonics Research, 7, 445-451. https://doi.org/10.1364/prj.7.000445 |
| [8] | Shi, R. and Mudring, A. (2022) Phonon-Mediated Nonradiative Relaxation in Ln3+-Doped Luminescent Nanocrystals. ACS Materials Letters, 4, 1882-1903. https://doi.org/10.1021/acsmaterialslett.2c00595 |
| [9] | Adair, R., Chase, L.L. and Payne, S.A. (1989) Nonlinear Refractive Index of Optical Crystals. Physical Review B, 39, 3337-3350. https://doi.org/10.1103/physrevb.39.3337 |
| [10] | Walsh, B.M., Barnes, N.P. and Di Bartolo, B. (1998) Branching Ratios, Cross Sections, and Radiative Lifetimes of Rare Earth Ions in Solids: Application to Tm3+ and Ho3+ Ions in LiYF4. Journal of Applied Physics, 83, 2772-2787. https://doi.org/10.1063/1.367037 |
| [11] | Yuan, W., Dai, R., Zhang, Z., Lin, X., Xu, H. and Cai, Z. (2025) Spectral Analysis and Emission Properties of Ho3+: YLF in the Visible-Near Infrared Band. Journal of Luminescence, 277, Article ID: 120915. https://doi.org/10.1016/j.jlumin.2024.120915 |
| [12] | Walsh, B.M., Barnes, N.P., Petros, M., Yu, J. and Singh, U.N. (2004) Spectroscopy and Modeling of Solid State Lanthanide Lasers: Application to Trivalent Tm3+ and Ho3+ in YLiF4 and LuLiF4. Journal of Applied Physics, 95, 3255-3271. https://doi.org/10.1063/1.1649808 |
| [13] | Dong, G., Ma, Y., Zhao, X. and Zhang, X. (2022) Model for Optical Refrigeration of Ho3+-Doped Fluoride Crystals. Journal of the Optical Society of America B, 39, 3195-3199. https://doi.org/10.1364/josab.465982 |
| [14] | Tanaka, H. and Püschel, S. (2024) Monte Carlo Fluorescence Ray Tracing Simulation for Laser Cooling of Solids. Optics Express, 32, 2306-2320. https://doi.org/10.1364/oe.503250 |
| [15] | Förster, T. (1948) Zwischenmolekulare Energiewanderung und Fluoreszenz. Annalen der Physik, 437, 55-75. https://doi.org/10.1002/andp.19484370105 |
| [16] | Dexter, D.L. (1953) A Theory of Sensitized Luminescence in Solids. The Journal of Chemical Physics, 21, 836-850. https://doi.org/10.1063/1.1699044 |