{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,24]],"date-time":"2026-03-24T10:09:00Z","timestamp":1774346940430,"version":"3.50.1"},"reference-count":16,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2010,7,9]],"date-time":"2010-07-09T00:00:00Z","timestamp":1278633600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>A fiber grating sensor capable of distinguishing between temperature and strain, using a reference and a dual-wavelength fiber Bragg grating, is presented. Error analysis and measurement uncertainty for this sensor are studied theoretically and experimentally. The measured root mean squared errors for temperature T and strain \u03b5 were estimated to be 0.13 \u00b0C and 6 \u03bc\u03b5, respectively. The maximum errors for temperature and strain were calculated as 0.00155 T + 2.90 \u00d7 10\u22126 \u03b5 and 3.59 \u00d7 10\u22125 \u03b5 + 0.01887 T, respectively. Using the estimation of expanded uncertainty at 95% confidence level with a coverage factor of k = 2.205, temperature and strain measurement uncertainties were evaluated as 2.60 \u00b0C and 32.05 \u03bc\u03b5, respectively. For the first time, to our knowledge, we have demonstrated the feasibility of estimating the measurement uncertainty for simultaneous strain-temperature sensing with such a fiber grating sensor.<\/jats:p>","DOI":"10.3390\/s100706582","type":"journal-article","created":{"date-parts":[[2010,7,9]],"date-time":"2010-07-09T11:39:55Z","timestamp":1278675595000},"page":"6582-6593","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Error Analysis and Measurement Uncertainty for a Fiber Grating Strain-Temperature Sensor"],"prefix":"10.3390","volume":"10","author":[{"given":"Jaw-Luen","family":"Tang","sequence":"first","affiliation":[{"name":"Department of Physics, National Chung Cheng University, 168 University Road, Chia-Yi 62102, Taiwan"}]},{"given":"Jian-Neng","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Construction Engineering, National Yunlin University of Science and Technology, 123 Section 3 University Road, Douliou 64002, Taiwan"}]}],"member":"1968","published-online":{"date-parts":[[2010,7,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Kersey, AD, Berkoff, TA, and Morey, WW (1992, January 12\u201314). Fiber-Optic Bragg grating strain sensor with phase sensitive detection. Glasgow, Scotland.","DOI":"10.1117\/12.2298037"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1085","DOI":"10.1049\/el:19940746","article-title":"Discrimination between strain and temperature effects using dual-wavelength fiber grating sensors","volume":"30","author":"Xu","year":"1994","journal-title":"Electron. Lett."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1364\/OL.20.000333","article-title":"Simultaneous strain and temperature sensing with photogenerated in-fiber gratings","volume":"20","author":"Kanellopouslos","year":"1995","journal-title":"Optics Letters"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1223","DOI":"10.1109\/68.531843","article-title":"Hybrid fiber Bragg grating\/long period fiber grating sensors for strain\/temperature discrimination","volume":"8","author":"Patrick","year":"1996","journal-title":"IEEE Photonic. Technol. Lett."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1133","DOI":"10.1049\/el:19960732","article-title":"Simultaneous independent temperature and strain measurement using in-fiber Bragg grating sensors","volume":"32","author":"James","year":"1996","journal-title":"Electron. Lett."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1118","DOI":"10.1364\/AO.39.001118","article-title":"Simultaneous measurement of strain and temperature using a single fbg grating with erbium-dopped fiber amplifier","volume":"39","author":"Jung","year":"2000","journal-title":"Appl. Opt."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1049\/ip-opt:19971271","article-title":"Simultaneous measurement of temperature and strain using fiber Bragg grating and Brillouin scattering","volume":"144","author":"Davis","year":"1997","journal-title":"IEE Proc. Optoelectronics"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"344","DOI":"10.1016\/j.optcom.2007.03.043","article-title":"Temperature and strain discrimination using a single tilted fibre Bragg grating","volume":"275","author":"Chehura","year":"2007","journal-title":"Opt. Commun."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1016\/j.sna.2003.12.008","article-title":"Error analysis of temperature-compensated white-light interferometric fiber-optic strain sensor","volume":"112","author":"Ma","year":"2004","journal-title":"Sensor. Actuator-A"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1837","DOI":"10.1088\/0964-1726\/16\/5\/039","article-title":"A study of the temperature sensitivity of fiber Bragg gratings after metallization","volume":"16","author":"Xie","year":"2007","journal-title":"Smart Mater. Struct."},{"key":"ref_11","unstructured":"Othonos, A, and Kalli, K (1999). Fiber Bragg Grating: Fundamentals and Applications in Telecommunications and Sensing, Artech House Inc."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1177\/0361198105191300116","article-title":"Using fiber Bragg grating sensors to monitor pavement structures","volume":"1913","author":"Wang","year":"2005","journal-title":"Transp. Res. Rec."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"598","DOI":"10.1117\/1.601233","article-title":"Simultaneous measurement of temperature and strain: Error analysis","volume":"36","author":"Jin","year":"1997","journal-title":"Opt. Eng."},{"key":"ref_14","unstructured":"European Federation of National Associations of Measurement, Testing and Analytical Laboratories (2002). Measurement Uncertainty in Testing."},{"key":"ref_15","unstructured":"Singapore Accreditation Council (2004). Singapore Laboratory Accreditation Scheme (SAC-SINGLAS), Guidance Document on Measurement Uncertainty for Civil Engineering and Mechanical Testing Laboratories."},{"key":"ref_16","unstructured":"Dyer, SD, Kofler, JD, Espejo, RJ, and Etzel, SM (2003). Bragg Gratings, Photosensitivity, and Poling in Glass Waveguides, Optical Society of America Monterey."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/10\/7\/6582\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T22:02:53Z","timestamp":1760220173000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/10\/7\/6582"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,7,9]]},"references-count":16,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2010,7]]}},"alternative-id":["s100706582"],"URL":"https:\/\/doi.org\/10.3390\/s100706582","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,7,9]]}}}