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基于几何光学近似模型的大气泡粒子散射光场分布计算
引用本文:吕且妮,徐畅,靳文华.基于几何光学近似模型的大气泡粒子散射光场分布计算[J].天津大学学报(自然科学与工程技术版),2012(12):1089-1095.
作者姓名:吕且妮  徐畅  靳文华
作者单位:天津大学精密仪器与光电子工程学院;天津大学光电信息技术教育部重点实验室
基金项目:国家自然科学基金资助项目(40876050);内燃机燃烧学国家重点实验室2011年度开放课题资助项目(K2011-10)
摘    要:基于几何光学近似模型(GOM)对大气泡粒子散射特性进行了分析.针对散射角的多值问题进行了研究,并对不同三角函数的求解方法进行了分析,提出了一种基于tan(θp2)函数和MATLAB中的fsolve(.)函数的遍历取值的简便准确求解方法,计算了球形的大气泡粒子和水粒子的总散射光强分布、近场和远场散射相位分布,并与Mie理论计算进行了比对,计算结果与Mie理论计算吻合很好,验证了算法的正确性.

关 键 词:几何光学近似模型(GOM)  光强分布  相位函数  散射角

Calculation of Scattering Light Distribution of Large Air Bubbles by Geometrical Optics Approximation Model
Lü Qie-ni,XU Chang,JIN Wen-hua.Calculation of Scattering Light Distribution of Large Air Bubbles by Geometrical Optics Approximation Model[J].Journal of Tianjin University(Science and Technology),2012(12):1089-1095.
Authors:Lü Qie-ni  XU Chang  JIN Wen-hua
Institution:1,2(1.School of Precision Instrument and Opto-Electronics Engineering,Tianjin University,Tianjin 300072,China;2.Key Laboratory of Opto-Electronics Information and Technical Science,Ministry of Education,Tianjin University,Tianjin 300072,China)
Abstract:Scattering properties of large air bubbles were analyzed by means of geometrical optics approximation model (GOM). The problem of multi-value scattering angle was studied, the solving methods for different trigono-metric functions were analyzed, and then a simple and accurate method of traversal value based on the functions of tan(Op/2) and fsolve (.)in MATLAB was presented. The total scattering intensity distribution pattern and the phase functions in both near-field and far-field of large spherical air bubbles and water particles were given and then com-pared with those of Mie theory. The algorithm was verified by the consistency of the two results.
Keywords:geometrical optics approximation model  intensity distribution  phase function  scattering angle
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