单颗粒光散射偏振特性的模拟和分析
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摘要
在入射自然光和线偏振光两种常见情况下,基于Mie理论和Debye级数展开,模拟了整体散射光和各阶散射光的偏振度和偏振比分布。研究结果表明:自然光入射时的散射光一般为部分偏振光,当粒径小于波长时,偏振度分布与Rayleigh散射的一致;当粒径大于波长时,整体散射光的偏振度在前向散射角很低,随着散射角的增加逐渐增高但变化频繁,在彩虹角处有很高的值。当入射光为线偏振光时,散射光一般为椭圆偏振光,整体散射光和各阶散射光的偏振比都很高,只有当方位角远离0°、90°、180°时才会出现极小值。
Under the two common conditions of incident natural light and linearly polarized light, we simulate the polarization degree and polarization ratio distributions of whole scattered light and various orders scattered light based on Mie theory and Debye series expansion. The results show that the scattered light is usually partially polarized when incident light is natural light. The distribution of polarization degree is consistent with Rayleigh scattering when the particle size is less than the wavelength. When the particle size is larger than the wavelength, the polarization degree of the whole scattered light is very low at the forward scattering angle, and increases with the increase of scattering angle but changes frequently, and get a high value at the rainbow angle. The scattered light is commonly elliptically polarized light when the incident light is linearly polarized light. In this case, the polarization ratios of the whole scattered light and various orders scattered light are high. A minimum value occurs only when the azimuth angle is far from 0°, 90° and 180°.
Under the two common conditions of incident natural light and linearly polarized light, we simulate the polarization degree and polarization ratio distributions of whole scattered light and various orders scattered light based on Mie theory and Debye series expansion. The results show that the scattered light is usually partially polarized when incident light is natural light. The distribution of polarization degree is consistent with Rayleigh scattering when the particle size is less than the wavelength. When the particle size is larger than the wavelength, the polarization degree of the whole scattered light is very low at the forward scattering angle, and increases with the increase of scattering angle but changes frequently, and get a high value at the rainbow angle. The scattered light is commonly elliptically polarized light when the incident light is linearly polarized light. In this case, the polarization ratios of the whole scattered light and various orders scattered light are high. A minimum value occurs only when the azimuth angle is far from 0°, 90° and 180°.
引文
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[2] Ma X H.The study on polarization of particles’ scattered light[J].Technology and Innovation Management,2008,29(4):401-403.马晓虹.颗粒散射光偏振问题的研究[J].技术与创新管理,2008,29(4):401-403.
[3] Yang H,Zheng G,Wang Y J,et al.Effect of the polarization state of the laser in dynamic light scattering for particle sizing[J].Optical Technique,2009,35(1):50-52.杨晖,郑刚,王雅静,等.光源的偏振态对动态光散射颗粒测量结果的影响[J].光学技术,2009,35(1):50-52.
[4] Yang H,Zheng G,Zhang R F,et al.Study on the method of particle sizing by dynamic light scattering based on polarization gating[J].Optical Technique,2010,36(3):415-419.杨晖,郑刚,张荣福,等.基于偏振门的动态光散射颗粒测量法的研究[J].光学技术,2010,36(3):415-419.
[5] Chen W K,Fang H.Particle size and number density online analysis for particle suspension with polarization-differentiation elastic light scattering spectroscopy[J].Spectroscopy and Spectral Analysis,2016,36(3):770-774.陈伟康,方晖.颗粒溶液颗粒尺寸及浓度的差分偏振弹性散射光谱在线分析方法[J].光谱学与光谱分析,2016,36(3):770-774.
[6] Zhang H X,Zhai M R,Sun J L,et al.Discrimination between spheres and spheroids in a detection system for single particles based on polarization characteristics[J].Journal of Quantitative Spectroscopy and Radiative Transfer,2017,187:62-75.
[7] Zhao S T,Wu X D,Wang C,et al.Principles,applications and latest developments of flow cytometer[J].Progress in Modern Biomedicine,2011,11(22):4378-4381.赵书涛,武晓东,王策,等.流式细胞仪的原理、应用及最新进展[J].现代生物医学进展,2011,11(22):4378-4381.
[8] Backman V,Wallace M B,Perelman L T,et al.Detection of preinvasive cancer cells[J].Nature,2000,406(6791):35-36.
[9] Ushenko Y A,Telenga O I,Peresunko A P,et al.New parameter for describing and analyzing the optical-anisotropic properties of biological tissues[J].Journal of Innovative Optical Health Sciences,2011,4(4):463-475.
[10] Zeng N,Jiang X Y,Gao Q,et al.Linear polarization difference imaging and its potential applications[J].Applied Optics,2009,48(35):6734-6739.
[11] Guo Y H,Zeng N,He H H,et al.A study on forward scattering Mueller matrix decomposition in anisotropic medium[J].Optics Express,2013,21(15):18361-18370.
[12] Lu H,Zhu Y C,Zhao K C,et al.Study on the measure model of bionic polarizaion navigation sensor[J].Journal of Ordnance Engineering College,2013,25(6):72-75.卢皓,朱元昌,赵开春,等.仿生偏振光导航传感器量测模型研究[J].军械工程学院学报,2013,25(6):72-75.
[13] Huang X F,Bu Y,Wang X Z.Skylight polarization patterns based on Mie theory for scattering[J].Chinese Journal of Lasers,2010,37(12):3002-3006.黄旭锋,步扬,王向朝.基于米氏散射理论的太阳光散射偏振特性[J].中国激光,2010,37(12):3002-3006.
[14] Liu Q,Chu J K,Wang J,et al.Research and simulation analysis of atmospheric polarization properties under water cloud condition[J].Acta Optica Sinica,2014,34(3):0301004.刘琦,褚金奎,王兢,等.水云条件下大气偏振特性研究及其模拟分析[J].光学学报,2014,34(3):0301004.
[15] David G,Thomas B,Dupart Y,et al.UV polarization lidar for remote sensing new particles formation in the atmosphere[J].Optics Express,2014,22(S3):A1009-A1022.
[16] Guo H,Gu X F,Xie D H,et al.A review of atmospheric aerosol research by using polarization remote sensing[J].Spectroscopy and Spectral Analysis,2014,34(7):1873-1880.郭红,顾行发,谢东海,等.大气气溶胶偏振遥感研究进展[J].光谱学与光谱分析,2014,34(7):1873-1880.
[17] Zhang S,Zhan J T,Bai S K,et al.Influence of smoke concentration on transmission characteristics of polarized light[J].Acta Optica Sinica,2016,36(7):0729001.张肃,战俊彤,白思克,等.烟雾浓度对偏振光传输特性的影响[J].光学学报,2016,36(7):0729001.
[18] Wang J J,Liu X Y,Zhang Y T,et al.Transmission characteristics of polarized light in aerosol[J].Laser & Optoelectronics Progress,2018,55(8):080103.汪杰君,刘小燕,张玉婷,等.偏振光在气溶胶中的传输特性研究[J].激光与光电子学进展,2018,55(8):080103.
[19] Cai X X,Su M X,Shen J Q.Particle size measurement technology and applications[M].Chemical Industry Press,2010.蔡小舒,苏明旭,沈建琪.颗粒粒度测量技术及应用[M].北京:化学工业出版社,2010.
[20] Bohren C F,Huffman D R.Absorption and scattering of light by small particles[M].Weinheim:Wiley-VCH Verlag GmbH,1998.
[21] Born M,Wolf E.Principles of optics:electromagnetic theory of propagation,interference and diffraction of light[M].Amsterdam:Elsevier,2013.
[22] Hovenac E A,Lock J A.Assessing the contributions of surface waves and complex rays to far-field Mie scattering by use of the Debye series[J].Journal of the Optical Society of America A,1992,9(5):781-795.
[23] Nussenzveig H M.High-frequency scattering by a transparent sphere.I.Direct reflection and transmission[J].Journal of Mathematical Physics,1969,10(1):82-124.
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