Uncertainty analysis of spectral flux measurement using Monte Carlo simulation

Author:

Yaran ŞenelORCID,Kösemen Zühal AlpaslanORCID,Akkan Çağri KaanORCID,Nişancı Hilal Fatmagül,Krüger UdoORCID,Sperling ArminORCID

Abstract

In photometry, spectrally integrated quantities are commonly used, and their uncertainties are calculated using classical approaches. Since determining correlations at different wavelengths and effects on spectrally integrated quantities is rather complex, a noise modification of the spectral value using Monte Carlo simulation was applied to estimate unknown correlations in the uncertainty of total luminous flux based on integrated spectral luminous flux values. For this aim, an LED with 6500 K correlated colour temperature was measured in an integrated sphere flux measurement system. The correlations between the measurements at different wavelengths were analysed, and the uncertainty boundaries of the integrated quantity and total luminous flux were obtained.

Funder

EURAMET

Publisher

EDP Sciences

Reference6 articles.

1. JCGM (2008) 100. Guide to the expression of uncertainty in measurement.

2. JCGM (2008) 101. Supplement 1 to the “Guide to the expression of uncertainty in measurement” — Propagation of distributions using a Monte Carlo method.

3. JCGM (2011) 102. Supplement 2 to the “Guide to the expression of uncertainty in measurement” – Extension to any number of output quantities.

4. Method for estimating effects of unknown correlations in spectral irradiance data on uncertainties of spectrally integrated colorimetric quantities

5. 19nrm02 E. (2023) Python package empir19nrm02. Available at https://github.com/empir19nrm02/empir19nrm02.

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