光学学报, 2017, 37 (3): 0329001, 网络出版: 2017-03-08   

均匀椭球形液滴三阶和四阶彩虹条纹特征

Third- and Fourth-Order Rainbow Fringe Characteristics of Homogeneous Ellipsoid Droplets
作者单位
上海理工大学理学院, 上海 200093
摘要
基于矢量光线追踪(VRT)模型, 研究了均匀椭球形液滴三阶和四阶彩虹区域的光学焦散结构, 详细探究了光学焦散结构的演化过程, 得到了三阶彩虹条纹的模拟结果、条纹曲率以及三阶彩虹和双曲脐条纹尖点焦散位置与椭球度的关系。
Abstract
Based on the vector-ray tracing (VRT) model, the optical caustic structures of homogeneous ellipsoid droplets in the third-order and fourth-order rainbow regions are studied. The evolution process of the optical caustic structure is investigated in detail. The simulated result and fringe curvature of the third-order rainbow fringe as well as the relationship between the cusp location of the third-order rainbow and hyperbolic umbilic fringes and the aspect ratio are obtained.
参考文献

[1] 郭露芳, 沈建琪. 相对折射率对前向散射粒度测试的影响[J]. 中国激光, 2016, 43(3): 0308004.

    Guo Lufang, Shen Jianqi. Dependence of forward light scattering particle size measurement on the relative refractive index[J]. Chinese J Lasers, 2016, 43(3): 0308004.

[2] 王天恩, 沈建琪, 林承军. 前向散射颗粒粒径分布分析中的向量相似度反演算法[J]. 光学学报, 2016, 36(6): 0629002.

    Wang Tianen, Shen Jianqi, Lin Chengjun. Vector similarity retrieval algorithm in particle size distribution analysis of forward scattering[J]. Acta Optica Sinica, 2016, 36(6): 0629002.

[3] 林承军, 沈建琪, 王天恩. 前向散射颗粒粒径测量中的多参数正则化算法[J]. 中国激光, 2016, 43(11): 1104004.

    Lin Chengjun, Shen Jianqi, Wang Tianen. Multi-parameter regularization algorithm in particle size measurement of forward light scattering[J]. Chinese J Lasers, 2016, 43(11): 1104004.

[4] Roth N, Anders K, Frohn A. Size insensitive rainbow refractometry: Theoretical aspects[C]. 8th International Symposium on Applications of Laser Techniques to Fluid Mechanics, 1996, 11: 921-926.

[5] van Beeck J P A J, Zimmer L, Riethmuller M L. Global rainbow thermometry for mean temperature and size measurement of spray droplets[J]. Particle & Particle Systems Characterization, 2001, 18(4): 196-204.

[6] Marston P L, Trinh E H. Hyperbolic umbilic diffraction catastrophe and rainbow scattering from spheroidal drops[J]. Nature, 1984, 312(5994): 529-531.

[7] Nye J F. Rainbow scattering from spheroidal drops-an explanation of the hyperbolic umbilic foci[J]. Nature, 1984, 312(5994): 531-532.

[8] Dean C E, Marston P L. Opening rate of the transverse cusp diffraction catastrophe in light scattered by oblate spheroidal drops[J]. Applied Optics, 1991, 30(24): 3443-3451.

[9] Nye J F. Rainbows from ellipsoidal water drops[J]. Proceedings of the Royal Society A, 1992, 438(1903): 397-417.

[10] Xu F, Lock J A, Tropea C. Debye series for light scattering by a spheroid[J]. Journal of the Optical Society of America A, 2010, 27: 671-686.

[11] Lock J A, Xu F. Optical caustics observed in light scattered by an oblate spheroid[J]. Applied Optics, 2010, 49(8): 1288-1304.

[12] Yu H T, Xu F, 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.

[13] Yu H T, Xu F, Tropea C. Simulation of optical caustics associated with the secondary rainbow of oblate droplets[J]. Optics Letters, 2013, 38(21): 4469-4472.

[14] Onofri F R A, Ren K F, Sentis M, et al. Experimental validation of the vectorial complex ray model on the inter-caustics scattering of oblate droplets[J]. Optics Express, 2015, 23(12): 15768-15773.

[15] Gromann M, Schmidt E, Haumann A. Photographic evidence for the third-order rainbow[J]. Applied Optics, 2011, 50(28): F134-F141.

[16] Theusner M. Photographic observation of a natural fourth-order rainbow[J]. Applied Optics, 2011, 50(28): F129-F133.

[17] Edens H E. Photographic observation of a natural fifth-order rainbow[J]. Applied Optics, 2015, 54(4): B26-B34.

[18] Edens H E, Knnen G P. Probable photographic detection of the natural seventh-order rainbow[J]. Applied Optics, 2015, 54(4): B93-B96.

[19] 韩香娥, 任宽芳, Grehan G, 等. 彩虹及在非均匀球中的应用[J]. 光学学报, 2003, 23(6): 712-716.

    Han Xiang′e, Ren Kuanfang, Grehan G, et al. Rainbow and its applications to nonhomogeous sphere[J]. Acta Optica Sinica, 2003, 23(6): 712-716.

[20] 潘 琦, 王式民. 基于彩虹现象的光学测粒技术研究[J]. 光学学报, 2009, 29(2): 388-393.

    Pan Qi, Wang Shimin. Study on optical particle measurement based on rainbow phenomena[J]. Acta Optica Sinica, 2009, 29(2): 388-393.

[21] 宋飞虎, 许传龙, 王式民. 基于德拜理论的液柱参数彩虹反演算法研究[J]. 光学学报, 2011, 31(12): 1212006.

    Song Feihu, Xu Chuanlong, Wang Shimin. Reversion algorithm for liquid column parameters with rainbow refractometry based on Debye theory[J]. Acta Optica Sinica, 2011, 31(12): 1212006.

[22] 吴迎春, 吴学成, Saengkaewi S, 等. 全场彩虹技术测量喷雾浓度及粒径分布[J]. 物理学报, 2013, 62(9): 090703.

    Wu Yingchun, Wu Xuecheng, Saengkaewi S, et al. Concentration and size measurements of sprays with global rainbow technique[J]. Acta Physica Sinica, 2013, 62(9): 090703.

[23] Wu Y, Promvongsa J, Wu X, et al. One-dimensional rainbow technique using Fourier domain filtering[J]. Optics Express, 2015, 23(23): 30545-30556.

[24] 姜会芬, 韩香娥, 任宽芳, 等. 均匀球形液滴二阶和五阶彩虹的重建及应用[J]. 光学学报, 2004, 24(11): 1561-1565.

    Jiang Huifen, Han Xiang′e, Ren Kuanfang, 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.

[25] Langley D S, Marston P L. Generalized tertiary rainbow of slightly oblate drops: Observations with laser illumination[J]. Applied Optics, 1998, 37(9): 1520-1526.

管露露, 于海涛, 沈建琪. 均匀椭球形液滴三阶和四阶彩虹条纹特征[J]. 光学学报, 2017, 37(3): 0329001. Guan Lulu, Yu Haitao, Shen Jianqi. Third- and Fourth-Order Rainbow Fringe Characteristics of Homogeneous Ellipsoid Droplets[J]. Acta Optica Sinica, 2017, 37(3): 0329001.

本文已被 1 篇论文引用
被引统计数据来源于中国光学期刊网
引用该论文: TXT   |   EndNote

相关论文

加载中...

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!