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以解析分析理论为基础,研究圆截面Nd∶GdVO4激光晶体受到具有高斯分布半导体激光端面中心入射时,晶体温度场分布和抽运面热形变分布情况。通过对激光二极管(LD)端面入射晶体工作特点分析,建立了符合实际工作情况的热模型,利用热传导方程新求解方法,得出了圆形截面Nd∶GdVO4晶体温度场分布和端面热形变场通解表达式,对比分析了圆形截面和矩形截面Nd∶GdVO4晶体的热形变。研究结果表明,当使用输出功率为15 W激光二极管端面中心入射Nd∶GdVO4激光晶体时,在抽运端面中心获得187.5℃最高温升和1.313μm最大热形变量。两种截面晶体具有相同的热形变形状,当截面尺寸不太大时,如果圆形截面晶体的半径等于矩形截面晶体半边长,最大热形变量将减少4.1%。这种方法还可以应用到其他圆形截面晶体热问题研究中,为有效解决激光系统热问题提供了理论依据。
Based on analytic theory, the temperature field distribution and the thermal deformation distribution on the pumping surface of a Nd: GdVO4 laser crystal with circular Gaussian distribution are studied. By analyzing the operating characteristics of the incident laser diode (LD) end face, the thermal model is established to meet the actual working conditions. By using the new solution of the heat conduction equation, the temperature field distribution and the thermal deformation field of the Nd:GdVO4 crystal are obtained Expression, comparative analysis of the thermal deformation of circular and rectangular cross-section Nd: GdVO4 crystal. The results show that the maximum temperature rise of 187.5 ℃ and the maximum thermal deformation of 1.313μm are obtained in the center of the pumping face when the Nd: GdVO4 laser is incident on the center of laser diode with 15 W output. When both cross-section crystals have the same thermal deformation shape, when the cross-section size is not too big, the maximum thermal deformation will be reduced by 4.1% if the radius of the circular section crystal is equal to the half-length of the rectangular section crystal. This method can also be applied to other thermal problems of circular cross-section crystals, which provides a theoretical basis for effectively solving the thermal problem of laser systems.