利用奇异值分解方法,分析了激光粒度仪的光能系数矩阵特性,定义了可以反映粒度分布随光能分布变化的灵敏度参数,给出了特定参数条件下的测量上限。推导得到了仪器的测量上限与物理参数之间的解析表达式,发现在入射光波长不变的情况下,仪器对散射光的最小接收角决定了该仪器的测量上限。实验结果验证了该表达式的正确性。

The singular value decomposition method is used to study the characteristics of light energy coefficient matrix of a laser particle size analyzer, and the sensitivity parameters are defined to express the variance of particle size distribution with the light energy distribution. The measurement upper limit under certain parameters is obtained. An analytic formula which discloses the relationship between the measurement upper limit and the physical parameters is derived, which shows that the measurement upper limit of the instrument is determined by the minimum acceptance angle of this instrument for the scattered light under the condition of constant incident wavelength. The experimental results verify the correctness of this formula.