Ho³⁺:YLF晶体光学制冷的温度场
Temperature Field of Optical Refrigerationin Ho³⁺:YLF Crystal

固体激光制冷，也称为光学制冷，是一种利用激光光子与物质相互作用来降低固体温度的技术。本文采用理论推导与数值模拟相结合的方法，研究了基于柱状Ho³⁺:YLF晶体的光学制冷温度分布特性，根据热传导方程和泵浦激光的光束分布，建立Ho³⁺:YLF晶体光学制冷温度分布的理论模型。为了优化Ho³⁺:YLF晶体光学制冷系统的性能，探究了系统的温度分布随样品尺寸、掺杂浓度、光束质量和束腰半径的变化规律。分别数值模拟了Ho³⁺离子浓度均匀分布和高斯型分布的条件下，系统的温度分布随各物理参量的变化关系。分析了浓度不均匀度(即浓度方差)对温度分布的影响，并计算得出不同浓度掺杂情况下的制冷临界浓度方差。
Solid-state laser cooling, also known as optical refrigeration, is a technology that uses the interaction between laser photons and matter to reduce the temperature of solids. This paper employs a combination of theoretical derivation and numerical simulation to study the temperature field characteristics of optical cooling based on cylindrical Ho³⁺:YLF crystals. A theoretical model of the temperature field for Ho³⁺:YLF crystal optical refrigeration was established based on the heat conduction equation and the beam distribution of the pump laser. To optimize the performance of the Ho³⁺:YLF crystal optical refrigeration system, the variations of the system’s temperature field with sample size, doping concentration, beam quality, and beam waist radius were explored. Numerical simulations were conducted under conditions of uniform and Gaussian distributions of Ho³⁺ ion concentration to analyze the relationship between the temperature field and various physical parameters. The influence of concentration non-uniformity (i.e., concentration variance) on the temperature field was analyzed, and the critical concentration variance for cooling under different doping conditions was calculated.