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Propagation of positioning uncertainties in near-field goniophotometers using the Monte Carlo method

机译:使用Monte Carlo方法将定位不确定性定位在近场偶像仪中的传播

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The method of near-field goniophotometry is used ever-increasingly to acquire detailed luminance information about various luminaires. It overcomes certain limitations of its predecessor, the widely used and thoroughly standardized far-field goniophotometry, and provides further opportunities to expand the scope of the measurement, but also introduces a new set of limiting factors. The aim of this paper is to examine the effect of positioning uncertainties on near-field goniophotometric measurements' results. For this, a simplified ray tracing model is constructed computable in closed form as stacked matrix equations, in order to reduce the computation time as much as possible. The model is then fed to a simulated goniophotometric measurement, loaded with various uncertainties according to the Monte Carlo method. Finally, the resulting uncertainties are derived from statistical analysis of the output in both the near and far fields. Various metrics are tested as potential criteria for acceptance, including correlation and repeated measures ANOVA tests, both faring well until the angle of incidence of the rays is below 55 degrees, the ANOVA test being more sensitive to sampling and rejecting systems with 0.1 degrees angular error and above, while the same results still pass the correlation test until 0.5 degrees. Converted far-field results are compared to the standardized requirements, indicating the necessity of similar mechanical precision. (C) 2020 Optical Society of America
机译:近场偶像光度法的方法越来越多地用于获取关于各种灯具的详细亮度信息。它克服了其前身的一定限制,广泛使用和彻底标准化的远场巨头光光度测定法,并提供了扩大测量范围的进一步的机会,还引入了一套新的限制因素。本文的目的是检验定位不确定性对近场讲座测量结果的影响的效果。为此,简化的光线跟踪模型以封闭形式构造为堆叠矩阵方程,以便尽可能地降低计算时间。然后将该模型馈送到模拟的巨头光学测量测量,根据蒙特卡罗方法装载有各种不确定性的。最后,产生的不确定性来自近距和远场中输出的统计分析。测试各种度量标准被测试为接受的潜在标准,包括相关性和重复测量ANOVA测试,直到光线的入射角低于55度,ANOVA测试对采样和拒绝系统具有0.1度角误差的系统更敏感而以上,虽然相同的结果仍然通过相关性测试,直到0.5度。将转换的远场结果与标准化要求进行比较,表明了类似机械精度的必要性。 (c)2020美国光学学会

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    《Applied optics》 |2020年第13期|共9页
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