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中文摘要：
为了研究Nd：GGG激光晶体圆盘在热容运行模式下的温度场分布及变化问题，根据实际情况建立物理模型进行了分析。从热传导微分方程出发，通过格林函数法求得激光器工作、冷却阶段晶体内部温度场的解析解，在一定程度上可以反映温度场的变化情况。数值计算了矩形LD光斑尺寸3Cill，泵浦功率8100W、脉冲频率500Hz、脉冲宽度0．2ms条件下泵浦4s后圆盘的温度场以及变化曲线，得到4s末的最大应力已经达到晶体断裂极限的47％。采用280K、290K的温度分别对圆盘进行背面冷却时，需要60-70s左右的冷却时间；当采用280K对圆盘进行背面和侧面同时冷却时，冷却时间缩短到30s左右。
英文摘要：
A physical model was established to study the distribution and change of temperature field of Nd： GGG disc operated under heat-capacity mode. By using heat conducting equation and Green function, the expressions of temperature field inside the crystal were obtained during the operation and cooling period of the laser; the obtained data reflect the change of temperature filed. The temperature field was calculated after the crystal was pumped as long as 4 s under the pump conditions（rectangular LD facula 3 cm, power 8.1 kW, frequency 500 Hz, width 0.2 ms）, and the maximal stress is up to 47% of the crystal rupture limit at the end of 4 s. The cooling time is about 60-70 s when the back of the disc is cooled at the temperature 280 K and 290 K respectively; the cooling time is shorted to be about 30 s when both the back and side of disc were cooled at the temperature 280 K.
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