为合理进行激光谐振腔设计，研制脉冲板条全固态激光器，利用热传导理论解析研究了脉冲激光二极管(LD)巴条侧面抽运激光板条热平衡时的温度场以及热形变场分布情况。通过侧面抽运激光板条工作特点分析，建立热分析模型，考虑到激光二极管阵列(LDA)抽运光具有超高斯分布而NdYVO4板条具有热传导各向异性的特点，利用Possion方程得出了准连续LDA侧面抽运热传导各向异性板条温度场分布的一般解析表达式。对比分析了NdYVO4与NdGdVO4板条在单脉冲侧面抽运与重复脉冲侧面抽运过程中的温度场分布情况，定量计算了达到热动态平衡时NdYVO4与NdGdVO4板条抽运面中心的热形变量。计算结果表明，达到热动态平衡时， NdYVO4板条的最大与最低温升值分别为34.8 ℃和32.4 ℃，而NdGdVO4板条的最大与最低温升值分别为30.2 ℃和27.0 ℃；NdYVO4板条热动平衡时最大与最小热形变量分别为0.98 μm和0.89 μm，而NdGdVO4板条的分别为0.29 μm和0.24 μm。

In order to rationally design laser resonator and develop a pulsed all-solid-state slab laser, based on the heat conduction theory, temperature and deformation field in thermal equilibrium state of laser slab side-pumped by pulsed-diode-bar were analytically investigated. Through working on characteristics analysis of laser slab side-pumped by pulsed-diode-bar, a thermal analysis model of laser slab was established. Considering that the pump light intensity of pulsed-diode-bar has super-Gaussian distribution and the laser slab with the characteristics of anisotropic thermal conduction, a general transient temperature field analytical expression of anisotropic thermal conduction laser slab by pulsed-diode-bar side-pumping was obtained by the Poisson equation. The temperature variations of NdYVO4 and NdGdVO4 slab side-pumped by single pulse and repetitive pulse were comparatively analyzed. And the deformations of pump surface of the NdYVO4 and NdGdVO4 slabs in thermal dynamic equilibrium state were quantitatively calculated. The results show that, when the transient temperature field of laser slab reaches thermal dynamic equilibrium state, the maximum and the minimum temperature rise in NdYVO4 slab are 34.8 ℃ and 32.4 ℃, but in NdGdVO4 slab the maximum and the minimum temperature rise are 30.2 ℃ and 27.0 ℃. The maximum and minimum deformations of NdYVO4 slab are 0.98 μm and 0.89 μm, but in NdYVO4 slab the maximum and minimum deformations are 0.29 μm and 0.24 μm.