Uncertainty Evaluation of Two-Dimensional Horizontal Distributed Photometric Sensor Based on MCM for Illuminance Measurement Task

In response to the demand for precise measurement of illuminance distribution in the quality control of LED monitoring fill light products and the iterative direction of secondary optical design, distributed photometric sensors have shown advantages, but their measurement uncertainty assessment face...

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Main Authors: Jianguo Sun, Yueyao Wang, Yinbao Cheng, Guanghu Zhu, Jianwen Shao, Yuebing Sha
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Sensors
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Online Access:https://www.mdpi.com/1424-8220/25/15/4648
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author Jianguo Sun
Yueyao Wang
Yinbao Cheng
Guanghu Zhu
Jianwen Shao
Yuebing Sha
author_facet Jianguo Sun
Yueyao Wang
Yinbao Cheng
Guanghu Zhu
Jianwen Shao
Yuebing Sha
author_sort Jianguo Sun
collection DOAJ
description In response to the demand for precise measurement of illuminance distribution in the quality control of LED monitoring fill light products and the iterative direction of secondary optical design, distributed photometric sensors have shown advantages, but their measurement uncertainty assessment faces challenges. This paper addresses the problem of uncertainty evaluation in photometric parameter measurement with a two-dimensional horizontal distributed photometric sensor and proposes an uncertainty evaluation framework for this task. We have established an uncertainty analysis model for the measurement system and provided two uncertainty synthesis methods, The Guide to the Expression of Uncertainty in Measurement and the Monte Carlo method. This study designed illuminance measurement experiments to validate the feasibility of the proposed uncertainty evaluation method. The results demonstrate that the actual probability distribution of the measurement data follows a trapezoidal distribution. Furthermore, the expanded uncertainty calculated using the GUM method was 21.1% higher than that obtained by the MCM. This work effectively addresses the uncertainty evaluation challenge for illuminance measurement tasks using a two-dimensional horizontal distributed photometric sensor. The findings offer valuable reference for the uncertainty assessment of other high-precision optical instruments and possess significant engineering value in enhancing the reliability of optical metrology systems.
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id doaj-art-cc2f91ad204940f1969051ba218dca22
institution Kabale University
issn 1424-8220
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publishDate 2025-07-01
publisher MDPI AG
record_format Article
series Sensors
spelling doaj-art-cc2f91ad204940f1969051ba218dca222025-08-20T04:00:54ZengMDPI AGSensors1424-82202025-07-012515464810.3390/s25154648Uncertainty Evaluation of Two-Dimensional Horizontal Distributed Photometric Sensor Based on MCM for Illuminance Measurement TaskJianguo Sun0Yueyao Wang1Yinbao Cheng2Guanghu Zhu3Jianwen Shao4Yuebing Sha5College of Metrology Measurement and Instrument, China Jiliang University, Hangzhou 310018, ChinaCollege of Metrology Measurement and Instrument, China Jiliang University, Hangzhou 310018, ChinaCollege of Metrology Measurement and Instrument, China Jiliang University, Hangzhou 310018, ChinaHangzhou Fangqian Technology Co., Ltd., Hangzhou 310030, ChinaZhejiang Institute of Quality Sciences, Hangzhou 310018, ChinaZhejiang Institute of Quality Sciences, Hangzhou 310018, ChinaIn response to the demand for precise measurement of illuminance distribution in the quality control of LED monitoring fill light products and the iterative direction of secondary optical design, distributed photometric sensors have shown advantages, but their measurement uncertainty assessment faces challenges. This paper addresses the problem of uncertainty evaluation in photometric parameter measurement with a two-dimensional horizontal distributed photometric sensor and proposes an uncertainty evaluation framework for this task. We have established an uncertainty analysis model for the measurement system and provided two uncertainty synthesis methods, The Guide to the Expression of Uncertainty in Measurement and the Monte Carlo method. This study designed illuminance measurement experiments to validate the feasibility of the proposed uncertainty evaluation method. The results demonstrate that the actual probability distribution of the measurement data follows a trapezoidal distribution. Furthermore, the expanded uncertainty calculated using the GUM method was 21.1% higher than that obtained by the MCM. This work effectively addresses the uncertainty evaluation challenge for illuminance measurement tasks using a two-dimensional horizontal distributed photometric sensor. The findings offer valuable reference for the uncertainty assessment of other high-precision optical instruments and possess significant engineering value in enhancing the reliability of optical metrology systems.https://www.mdpi.com/1424-8220/25/15/4648distributed photometric sensorMonte Carlo methodilluminance measurementmodeling of measurement uncertainty
spellingShingle Jianguo Sun
Yueyao Wang
Yinbao Cheng
Guanghu Zhu
Jianwen Shao
Yuebing Sha
Uncertainty Evaluation of Two-Dimensional Horizontal Distributed Photometric Sensor Based on MCM for Illuminance Measurement Task
Sensors
distributed photometric sensor
Monte Carlo method
illuminance measurement
modeling of measurement uncertainty
title Uncertainty Evaluation of Two-Dimensional Horizontal Distributed Photometric Sensor Based on MCM for Illuminance Measurement Task
title_full Uncertainty Evaluation of Two-Dimensional Horizontal Distributed Photometric Sensor Based on MCM for Illuminance Measurement Task
title_fullStr Uncertainty Evaluation of Two-Dimensional Horizontal Distributed Photometric Sensor Based on MCM for Illuminance Measurement Task
title_full_unstemmed Uncertainty Evaluation of Two-Dimensional Horizontal Distributed Photometric Sensor Based on MCM for Illuminance Measurement Task
title_short Uncertainty Evaluation of Two-Dimensional Horizontal Distributed Photometric Sensor Based on MCM for Illuminance Measurement Task
title_sort uncertainty evaluation of two dimensional horizontal distributed photometric sensor based on mcm for illuminance measurement task
topic distributed photometric sensor
Monte Carlo method
illuminance measurement
modeling of measurement uncertainty
url https://www.mdpi.com/1424-8220/25/15/4648
work_keys_str_mv AT jianguosun uncertaintyevaluationoftwodimensionalhorizontaldistributedphotometricsensorbasedonmcmforilluminancemeasurementtask
AT yueyaowang uncertaintyevaluationoftwodimensionalhorizontaldistributedphotometricsensorbasedonmcmforilluminancemeasurementtask
AT yinbaocheng uncertaintyevaluationoftwodimensionalhorizontaldistributedphotometricsensorbasedonmcmforilluminancemeasurementtask
AT guanghuzhu uncertaintyevaluationoftwodimensionalhorizontaldistributedphotometricsensorbasedonmcmforilluminancemeasurementtask
AT jianwenshao uncertaintyevaluationoftwodimensionalhorizontaldistributedphotometricsensorbasedonmcmforilluminancemeasurementtask
AT yuebingsha uncertaintyevaluationoftwodimensionalhorizontaldistributedphotometricsensorbasedonmcmforilluminancemeasurementtask