两种反演半透明液体光学常数的方法对比
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李栋(1979—),男,讲师,博士研究生; 夏新林(1966—),男,教授,博士生导师.

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TK314; O241.7

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国家自然科学基金资助项目 (6,8);哈尔滨市科技创新人才研究专项资金资助项目(2012RFQXG079).


Comparison of two inversion methods on optical constants of semitransparent liquid
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    摘要:

    基于光线跟踪法建立求解半透明液体透射比的正问题模型,研究基于蒙特卡罗法(MC)和简化方程迭代法(SEI)的反演半透明液体光学常数(吸收指数k、折射指数n)的两种方法,分析两种反演方法的适用范围.将已知文献中庚烷的光学常数作为“真实值”,用正问题模型求解的透射比作为“实验测量值”,采用反问题模型反演n和k,并分析实验偏差对反演的影响.研究结果表明:两种方法反演的庚烷k的计算误差的标准差均小于10-6,而n的标准差高于0.1%;当实验数据存在偏差时,光学常数n、k的反演计算精度呈现降低趋势.

    Abstract:

    Based on ray trace method, Monte-Carlo method and Simplifie-Equation iterative method, the spectral transimttance radio calculation model for semitransparent liquid was developed and two inversion methods of optical constants (extinction coefficient k and refractive index n) of semitransparent liquid were analyzed. The application range of two inversion methods were investigated. The optical constants of Heptane attained in the references were selected as the true values, and the spectral transimttance radio of the semitransparent liquid based on the direct model simulation were regarded as the experimental values. The optical constants of Heptane were achieved by the inverse models. Then the influence of measurement error on the inverse results were also investigated. The results show that the standard deviation of k calculation error by the MC and SEI inversion methods are less than 10-6, while that of n are higher than 0.1%, and the influence of measurement error on the inverse results is urgent distinctness, and inversed calculation precision of optical constants becomes lower when the measurement error are higher.

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李栋,夏新林,艾青.两种反演半透明液体光学常数的方法对比[J].哈尔滨工业大学学报,2012,44(9):73. DOI:10.11918/j. issn.0367-6234.2012.09.013

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  • 在线发布日期: 2012-09-27
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