Reconstruction of particle size distribution and optical constant based on time-resolved information
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摘要:
准确地测量颗粒系粒径分布与光学常数对于准确地预测相关介质内的辐射传输过程具有重要意义。采用一种改进的烟花算法同时反演了颗粒系粒径分布与光学常数。通过测量不同波长的激光辐照下,一维颗粒系的不同角度的时域透射信号,并结合改进的烟花算法对其光学常数以及粒径分布进行反演。通过对3种常见的粒径分布函数进行测试发现,使用本文提出的改进的烟花算法结合相应的物性测量方法可以准确得到颗粒系粒径分布与光学常数。
Abstract:The accurate measurement of particle size distribution and optical constant is of great importance for the prediction of radiative transfer in participating media. In the present work, an improved firework algorithm was applied to estimate the particle size distribution and optical constant simultaneously. At different angles, the time-resolved transmittance of a one-dimensional slab irradiated by laser of different wavelengths was measured. Afterward, the particle size distribution and optical constant were retrieved using the improved firework algorithm. According to the test cases for three different types of particle size distribution functions, it can be concluded that the particle size distribution and optical constant can be retrieved accurately by the proposed improved firework algorithm with assistant of corresponding physical property measurement technique.
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表 1 改进的烟花算法参数设置
Table 1. Parameter setting of improved firework algorithm
参数 Amax Ainit Afinal Ntot ng nmax nmin tmax Vmax w 数值 5.0 0.1 0.001 100 5 20 5 3 000 10.0 0.9-0.5t/tmax 表 2 粒径分布以及复折射率真值
Table 2. True value of particle size distribution and complex refractive index
参数分布 (D, σ) (n, k) 波长为λ1 波长为λ2 R-R (3.4, 1.8) (1.359, 4.9×10-3) (1.363, 2.5×10-3) S-N (4.1, 2.3) (1.352, 4.9×10-3) (1.358, 2.5×10-3) L-N (3.6, 4.2) (1.352, 5.0×10-3) (1.353, 2.5×10-3) 表 3 光学常数和粒径分布反演结果
Table 3. Retrieval results of optical constant and particle size distribution
参数分布 (n, k) (εrel(n), εrel(k))/% (D, σ) (εrel(), εrel(σ))/% 波长为λ1 波长为λ2 波长为λ1 波长为λ2 R-R (1.358 9, 4.85 × 10-3) (1.364 5, 2.52 × 10-3) (0.01, 1.04) (0.11, 0.67) (3.45, 1.84) (1.47, 2.22) S-N (1.352 5, 4.94 × 10-3) (1.356 0, 2.52 × 10-3) (0.03, 0.80) (0.11, 0.95) (4.17, 2.33) (1.71, 1.30) L-N (1.351 6, 4.99 × 10-3) (1.352 7, 2.51 ×10-3) (0.03, 0.13) (0.02, 0.50) (3.57, 4.14) (0.83, 1.43) -
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