Error and Uncertainty Analyses of Reference and Sample Reflectances Measured with Substitution Integrating Spheres

IF 2.6 2区工程技术 Q2 CONSTRUCTION & BUILDING TECHNOLOGY

Leukos Pub Date : 2020-11-13 DOI:10.1080/15502724.2020.1831391

R. A. Mangkuto, Revantino, Zhafirah Ajrina

引用次数: 5

Abstract

ABSTRACT The use of integrating sphere has been known as a method to measure hemispherical reflectance of a material sample. Mathematical expressions of such reflectance are available in literature, but most of them are not explicit in describing the relation between reflectance and the relevant input variables. This study aims to derive closed-form expressions for determining reference and sample reflectances, provided the irradiance values when the sample and the reference are measured using substitution integrating sphere. Moreover, this study also aims to determine the relative error in reflectance measurement when the fractional area of the ports is neglected, and to derive uncertainty expressions of reflectances due to uncertain irradiance values. The derived expressions have been verified with theoretical calculation tests comprising 10,000 random combinations of input variables. The proposed expressions, together with the error and uncertainty analyses, are expected to be applicable for low-cost, self-assembled integrating spheres.

查看原文本刊更多论文

替代积分球测量参比和样品反射率的误差和不确定度分析

积分球法被认为是测量材料样品半球面反射率的一种方法。文献中有这种反射率的数学表达式，但大多数在描述反射率与相关输入变量之间的关系时并不明确。本研究的目的是推导出确定参照物和样品反射率的封闭表达式，前提是使用替代积分球测量样品和参照物的辐照度值。此外，本研究还旨在确定忽略端口分数面积时反射率测量的相对误差，并推导出由于辐照度值不确定而导致的反射率的不确定表达式。导出的表达式已通过包含10,000个随机输入变量组合的理论计算试验进行了验证。所提出的表达式，连同误差和不确定度分析，有望适用于低成本、自组装的积分球。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Leukos 工程技术-光学

CiteScore

7.60

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Illuminating Engineering Society of North America and our publisher Taylor & Francis make every effort to ensure the accuracy of all the information (the "Content") contained in our publications. However, The Illuminating Engineering Society of North America and our publisher Taylor & Francis, our agents, and our licensors make no representations or warranties whatsoever as to the accuracy, completeness, or suitability for any purpose of the Content. Any opinions and views expressed in this publication are the opinions and views of the authors, and are not the views of or endorsed by The Illuminating Engineering Society of North America and our publisher Taylor & Francis. The accuracy of the Content should not be relied upon and should be independently verified with primary sources of information. The Illuminating Engineering Society of North America and our publisher Taylor & Francis shall not be liable for any losses, actions, claims, proceedings, demands, costs, expenses, damages, and other liabilities whatsoever or howsoever caused arising directly or indirectly in connection with, in relation to, or arising out of the use of the Content. Terms & Conditions of access and use can be found at http://www.tandfonline.com/page/terms-and-conditions .