Study of Drop Measurement Based on Gaussian Beam Scattering in the Primary Rainbow Region

SUN Hui; YU Hai-tao; SHEN Jian-qi

doi:10.3788/gzxb20184701.0129003

[2] TROPEA C. Optical particle characterization in flows[J]. Annual Review of Fluid Mechanics, 2011, 43(1): 399-426.

[3] XUN Min, SHEN Jin, ZHU Xin-jun, et al. Recovery of bimodal particle size distributions with multiangle dynamic light scattering[J]. Acta Photonica Sinica, 2017, 46(2): 229001.

[4] ROTH N, ANDERS K, FROHN A. Simultaneous measurements of temperature and size of droplets in the micrometer range. in proceedings of the seventh international congress on optical methods in flow and particle diagnostics[J]. Journal of Laser Applications, 1989, 2(37): 294-304.

[5] PAN Qi, WANG Shi-min. Study on optical particle measurement base on rainbow phenomena[J]. Acta Optica Sinica, 2009, 29(2): 388-393.

[6] JIANG Hui-fen, HAN Xiang′e, REN Kuan-fang, et al. Reconstruction of intensity of the second and fifth rainbows and its applications to homogeneous droplet[J]. Acta Optica Sinica, 2004, 24(11): 1561-1565.

[7] VAN BEECK J, RIETHMULLER M L. Nonintrusive measurements of temperature and size of single falling raindrops[J]. Applied Optics, 1995, 34(10): 1633-1639.

[8] YU Hai-tao, XU Feng, TROPEA C. Spheroidal droplet measurements based on generalized rainbow patterns[J]. Journal of Quantitative Spectroscopy and Radiative Transfer, 2013, 126: 105-112.

[9] MARSTON P L, TRINH E H. Hyperbolic umbilic diffraction catastrophe and rainbow scattering from spheroidal drops[J]. Nature, 1984, 312: 529-531.

[10] MARSTON P L. Cusp diffraction catastrophe from spheroids: generalized rainbows and inverse scattering[J]. Optics Letters, 1985, 10(12): 588-590.

[11] YU Hai-tao, XU Feng, TROPEA C. Optical caustics associated with the primary rainbow of oblate droplets: simulation and application in non-sphericity measurement[J]. Optics Express, 2013, 21(22): 25761-25771.

[12] GUAN Lu-lu, TU Hai-tao, SHEN Jian-qi, Tropea C. Simulation of optical caustics associated with the tertiary rainbow of oblate droplets[J]. Applied Optics, 2016, 55(23): 6447-6451.

[13] GUAN Lu-lu, YU Hai-tao, SHEN Jian-qi. Third- and fourth-order rainbow fringe characteristics of homogeneous ellopsoid droplets[J]. Acta Optica Sinica, 2017, 37(3): 359-366.

[14] SAENGKAEW S, CHARINPARITKUL T, VANISRI H, et al. Rainbow refractrometry on particles with radial refractive index gradients[J]. Experiments in Fluids, 2007, 43(4): 595-601.

[15] SONG Fei-hu, XU Chuan-long, WANG Shi-min. Reversion algorithm for liquid column parameter with rainbow technique[J]. Acta Optica Sinica,2011, 31(12): 121-131.

[16] VAN BEECK J, GIANNOULIS D, ZIMMER L, et al. Global rainbow thermometry for droplet temperature measurement[J]. Optics Letters, 1999, 24(23): 1696-1698.

[17] VETRANO M R, VAN BEECK J, RIETHMULLER M L. Global rainbow thermometry: improvements in the data inversion algorithm and validation technique in liquid-liquid suspension[J]. Applied Optics, 2004, 43(18): 3600-3607.

[18] WU Ying-chun, WU Xue-cheng, SAENGKAEWI S, et al. Concentration and size measurements of sprays with global rainbow technique[J]. Acta Physica Sinica, 2013, 62(9): 090703.

[19] WANG Jia-jie, GRHAN G, HAN Yi-ping, et al. Numerical study of global rainbow technique sensitivity to non-sphericity of droplets[J]. Experiments in Fluids, 2011, 51(1): 149-159.

[20] MIE G. Beitrge zur optik trüber medien, speziell kolloidaler metsllsungen[J]. Annals of Physics, 1908, 330(3): 376-445.

[21] XIANG Jian-sheng, HE Jun-hua, CHEN Min, et al. Study of Character of the forward scattered light of bubbles based on Mie′s light scattering theory[J]. Acta Photonica Sinica, 2007, 36(11): 2111-2114.

[22] GOUESBET G, MAHEU B, GRéHAN G. Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation[J]. Journal of the Optical Society of America A-optics Image Science and Vision, 1988, 5(9): 1427-1443.

[23] LOCK J A, GOUESBET G. Rigorous justification of the localized approximation to the beam-shape coefficients in generalized Lorenz-Mie theory. I. on-axis beams[J]. Journal of the Optical Society of America A-optics Image Science and Vision, 1994, 11(9): 2503-2515.

[24] REN Kuan-fang, GRéHAN G, GOUESBET G. Localized approximation of generalized Lorenz-Mie theory: faster algorithm for computation of the beam shape coefficients, gnm[J]. Particle & Particle Systems Characterization, 1992, 9(4): 144-150.

[25] SHEN Jian-qi, JIA Xiao-wei, YU Hai-tao. Compact formulation of the beam shape coefficients for elliptical Gaussian beam based on localized approximation[J]. Journal of the Optical Society of America A-optics Image Science and Vision, 2016, 33(11): 2256-2263.

[26] BARTON J P. Internal and near-surface electromagnetic fields for a spheroidal particle with arbitrary illumination[J].Applied Optics, 1995, 34(24): 5542-5551.

[27] XU Feng, REN Kuan-feng, GOUESBET G, et al. Generalized Lorenz-Mie theory for an arbitrarily oriented, located, and shaped beam scattered by a homogeneous spheroid[J]. Journal of the Optical Society of America A-optics Image Science and Vision, 2007, 24(1): 119-131.

[28] LOCK J A. Contribution of high-order rainbows to the scattering of a Gaussian laser beam by a spherical particle[J]. Journal of the Optical Society of America A-optics Image Science and Vision, 1993, 10(4): 639-705.

[29] XU Feng, LOCK J A, TROPEA C. Debye series for light scattering by a spheroid[J]. Journal of the Optical Society of America A-optics Image Science and Vision, 2010, 27(4): 671-686.

[30] XU Feng, LOCK J A, GOUESBET G. Debye series for light scattering by a nonspherical particle[J]. Physical Review A, 2010, 81(4): 043824-42.

[31] GOUESBET G. Debye series formulation for generalized Lorenz-Mie theory with the Bromwich method[J]. Particle & Particle Systems,Characterization, 2003, 20(6): 382-386.