Multiple scattering transmission characteristic of polarized light in ellipsoidal fine particles
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摘要:
为了研究偏振光在椭球细粒子中多次散射的传输特性，建立了以黑碳气溶胶粒子为对象的仿真与实验验证系统。采用T矩阵和蒙特卡罗相结合的方法，对偏振光经随机取向椭球细粒子多次散射后的偏振传输特性进行仿真研究，建立半实物模拟测试平台对仿真方法进行验证，采用延长灵芝孢子燃烧时间的方式制备椭球细粒子，分别由马尔文粒度仪和光功率计测试椭球细粒子的尺寸分布和光学厚度，建立实验与仿真间的联系，验证了仿真结果的正确性。结果表明：随着黑碳椭球细粒子浓度的增加，水平、垂直、+45°线偏光和右旋圆偏光的偏振度都随之下降，且3种线偏振光的保偏性基本一致；随着浓度的增大，圆偏振光的保偏性逐渐优于线偏振光，且两者保偏性差距越来越大，在光学厚度为3.12时达到最大值，当光学厚度大于3.12时，圆偏光和线偏光的偏振度差值趋于稳定。经计算，仿真与实验结果符合度优于70.84%。本研究结果可扩展偏振探测的适用范围，为非球形颗粒物环境下偏振探测研究提供理论支撑。
Abstract:To investigate the multiple scattering transmission characteristics of polarized light in ellipsoidal fine particles, a simulation and experiment verification system for black carbon aerosol particles was established. The polarization transmission characteristic after multiple scattering of the randomly oriented ellipsoidal fine particles are studied by combining the T-matrix with the Monte Carlo method. A half-real simulation testing environment was established to verify the simulation algorithm, and the ellipsoidal fine particles were prepared by extending ganoderma lucidum spores′ burning time. The size distribution and optical thickness of the ellipsoidal fine particles were measured by Malvern Spraytec and a light power meter, respectively. The simulation results can be proven by combining the experiment with the simulation. The results show that with an increase in the concentration of black carbon ellipsoidal fine particles, the Degree Of Polarization (DOP) of the horizontal, vertical, 45° linearly polarized and the right circularly polarized light all decrease, and the polarization preservation ability of three kinds of linear polarizations are basically consistent. The polarization preservation ability of the circularly polarized light gradually exceeds the linearly polarized light with an increase in concentration. The gap between the linear and circular polarizations becomes larger as it reaches its maximum value at 3.12 optical thickness. When the optical thickness is greater than 3.12, the DOP difference between the circularly and the linearly polarized lights tend to be stable. By calculation, the percent agreement between the simulation and the experiment is better than 70.84%. These results can expand the environmental applicable range of polarization detection and provide theoretical support for studying the polarization detection of atmospheric non-spherical particles.
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图 2 电镜下的黑碳气溶胶粒子
Figure 2. Black carbon aerosol particles obtained by electron microscope
图 3 椭球细粒子多次散射实验原理图。1-激光器，2-衰减片，3-偏振片，4-1/4波片，5-环境模拟系统，6-偏振无关分光棱镜，7-光功率计，8-偏振态测量仪，9-计算机
Figure 3. Experimental schematic diagram of multiple scattering of ellipsoidal fine particles. 1- Laser, 2- Attenuator, 3- Linear polarizer, 4-Quarter wave-plate, 5- Environmental simulation system，6- Non-polarizing beam splitter cube, 7- Light power meter, 8- Polarimeter, 9- Computer
图 8 偏振度与光学厚度关系仿真图
Figure 8. Relationship between degree of polarization and optical thickness
图 9 偏振度差值
$ {\varDelta _{{\text{diff}}}} $ 与光学厚度的关系Figure 9. Relationship between degree of polarization difference
$ {\varDelta _{{\text{diff}}}} $ and optical thickness
图 10 偏振度与光学厚度关系实验图
Figure 10. Relationship between degree of polarization and optical thickness
表 1 不同充入时间下的光学厚度值
Table 1. Optical thicknesses under different filling times
Filling time/s Transmittance/% Optical thickness 1 79.5 0.23 2 47.2 0.75 3 24.2 1.42 4 16.0 1.83 5 9.4 2.36 6 4.4 3.12 7 3.0 3.51 8 1.9 3.98 
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表 2 仿真与实验的符合度
Table 2. Percent agreement between simulation and experiment results
State of polarization Percent agreement 0° linear polarization 71.60% Right-hand circular polarization 70.84%
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