{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T02:03:28Z","timestamp":1772330608487,"version":"3.50.1"},"reference-count":32,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2017,9,7]],"date-time":"2017-09-07T00:00:00Z","timestamp":1504742400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"the Chinese Defense Advance Research Program of Science and Technology, China","award":["A0420132202"],"award-info":[{"award-number":["A0420132202"]}]},{"name":"the 111 Project in HEU"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Improving the performance of interferometric fiber optic gyroscope (IFOG) in harsh environments, such as magnetic field and temperature field variation, is necessary for its practical applications. This paper presents an investigation of Faraday effect-induced bias error of IFOG under varying temperature. Jones matrix method is utilized to formulize the temperature dependence of Faraday effect-induced bias error. Theoretical results show that the Faraday effect-induced bias error changes with the temperature in the non-skeleton polarization maintaining (PM) fiber coil. This phenomenon is caused by the temperature dependence of linear birefringence and Verdet constant of PM fiber. Particularly, Faraday effect-induced bias errors of two polarizations always have opposite signs that can be compensated optically regardless of the changes of the temperature. Two experiments with a 1000 m non-skeleton PM fiber coil are performed, and the experimental results support these theoretical predictions. This study is promising for improving the bias stability of IFOG.<\/jats:p>","DOI":"10.3390\/s17092046","type":"journal-article","created":{"date-parts":[[2017,9,7]],"date-time":"2017-09-07T13:59:10Z","timestamp":1504792750000},"page":"2046","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Temperature Dependence of Faraday Effect-Induced Bias Error in a Fiber Optic Gyroscope"],"prefix":"10.3390","volume":"17","author":[{"given":"Xuyou","family":"Li","sequence":"first","affiliation":[{"name":"College of Automation, Harbin Engineering University, Harbin 150001, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0434-9854","authenticated-orcid":false,"given":"Pan","family":"Liu","sequence":"additional","affiliation":[{"name":"College of Automation, Harbin Engineering University, Harbin 150001, China"}]},{"given":"Xingxing","family":"Guang","sequence":"additional","affiliation":[{"name":"College of Automation, Harbin Engineering University, Harbin 150001, China"}]},{"given":"Zhenlong","family":"Xu","sequence":"additional","affiliation":[{"name":"Shandong Institute of Space Electronic Technology, Yantai 264000, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8803-910X","authenticated-orcid":false,"given":"Lianwu","family":"Guan","sequence":"additional","affiliation":[{"name":"College of Automation, Harbin Engineering University, Harbin 150001, China"}]},{"given":"Guangchun","family":"Li","sequence":"additional","affiliation":[{"name":"College of Automation, Harbin Engineering University, Harbin 150001, China"}]}],"member":"1968","published-online":{"date-parts":[[2017,9,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2053","DOI":"10.1007\/s00542-015-2645-x","article-title":"Research Development of Silicon MEMS Gyroscopes: A Review","volume":"21","author":"Guo","year":"2015","journal-title":"Microsyst. Technol."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"4290","DOI":"10.3390\/s140304290","article-title":"An Integrated Thermal Compensation System for MEMS Inertial Sensors","volume":"14","author":"Chiu","year":"2014","journal-title":"Sensors"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1394","DOI":"10.3390\/s140101394","article-title":"The Development of Micromachined Gyroscope Structure and Circuitry Technology","volume":"14","author":"Xia","year":"2014","journal-title":"Sensors"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"14013","DOI":"10.2971\/jeos.2014.14013","article-title":"Recent Advances in Miniaturized Optical Gyroscopes","volume":"9","author":"Tatoli","year":"2014","journal-title":"J. Eur. Opt. Soc. Rap. Public."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"6800418","DOI":"10.1109\/JPHOT.2015.2507549","article-title":"A High-Q InP Resonant Angular Velocity Sensor for a Monolithically Integrated Optical Gyroscope","volume":"8","author":"Ciminelli","year":"2016","journal-title":"IEEE Photon. J."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"346","DOI":"10.1364\/OPTICA.4.000346","article-title":"Microresonator Brillouin Gyroscope","volume":"4","author":"Li","year":"2017","journal-title":"Optica"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Tazartes, D. (2014, January 25\u201326). An Historical Perspective on Inertial Navigation Systems. Proceedings of the IEEE International Symposium on Inertial Sensors and Systems (ISISS), Laguna Beach, CA, USA.","DOI":"10.1109\/ISISS.2014.6782505"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1099","DOI":"10.1364\/AO.15.001099","article-title":"Fiber Ring Interferometer","volume":"15","author":"Vali","year":"1976","journal-title":"Appl. Opt."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"E152","DOI":"10.1364\/AO.50.00E152","article-title":"Fiber-Optic Gyroscopes: from Design to Production","volume":"50","author":"Nayak","year":"2011","journal-title":"Appl. Opt."},{"key":"ref_10","unstructured":"Lef\u00e8vre, H.C. (2014). The Fiber-Optic Gyroscope, Artech House. [2nd ed.]."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"828","DOI":"10.1016\/j.yofte.2013.08.007","article-title":"The Fiber-Optic Gyroscope: Challenges to Become the Ultimate Rotation-Sensing Technology","volume":"19","year":"2013","journal-title":"Opt. Fiber Technol."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Sanders, G.A., Sanders, S.J., Strandjord, L.K., Qiu, T.Q., Wu, J.F., Smiciklas, M., Mead, D., Mosor, S., Arrizon, A., and Ho, W. (2016, January 18\u201321). Fiber optic gyro development at Honeywell. Proceedings of the SPIE Fiber Optic Sensors and Applications XIII, Baltimore, MD, USA.","DOI":"10.1117\/12.2228893"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"793","DOI":"10.1070\/PU2002v045n08ABEH001073","article-title":"Physical Problems of Fiber Gyroscopy Based on the Sagnac Effect","volume":"45","author":"Andronova","year":"2002","journal-title":"Phys. Uspekhi"},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Digonnet, M.J., and Chamoun, J.N. (2016, January 18\u201321). Recent Developments in Laser-Driven and Hollow-Core Fiber Optic Gyroscopes. Proceedings of the SPIE Fiber Optic Sensors and Applications XIII, Baltimore, MD, USA.","DOI":"10.1117\/12.2229080"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Deppe, O., Dorner, G., K\u00f6nig, S., Martin, T., Voigt, S., and Zimmermann, S. (2017). MEMS and FOG Technologies for Tactical and Navigation Grade Inertial Sensors\u2014Recent Improvements and Comparison. Sensors, 17.","DOI":"10.3390\/s17030567"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1086","DOI":"10.1364\/AO.25.001086","article-title":"Drift of an Optical Fiber Gyroscope Caused by the Faraday Effect: Influence of the Earth\u2019s Magnetic Field","volume":"25","author":"Hotate","year":"1986","journal-title":"Appl. Opt."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1364\/OL.7.000180","article-title":"Sensitivity of a Fiber-Optic Gyroscope to Environmental Magnetic Fields","volume":"7","author":"Petermann","year":"1982","journal-title":"Opt. Lett."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"5128","DOI":"10.1109\/JSEN.2015.2435025","article-title":"Nonreciprocal Phase Error Caused by Orthogonal Magnetic Field in a Polarization-Maintaining Fiber-Optic Gyro","volume":"15","author":"Zhao","year":"2015","journal-title":"IEEE Sens. J."},{"key":"ref_19","unstructured":"Toldi, D., Guattari, F., Molucon, C., M\u00e9lin, G., Villedieu, T., Rattier, M., Robin, T., and Lef\u00e8vre, H.C. (2016, January 20\u201321). Understanding and Control of the Magnetic Sensitivity of a Fiber-Optic Gyroscope. Proceedings of the Inertial Sensors and Systems 2016 (DGON ISS), Karlsruhe, Germany."},{"key":"ref_20","unstructured":"Olson, M.A., Williams, W.H., Vaught, J.A., and Mcewen, M.B. (2005). Magnetic Shield for a Fiber Optic Gyroscope. (6,952,268), U.S. Patent."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"3194","DOI":"10.1109\/JLT.2008.2009546","article-title":"Measurements of the Birefringence and Verdet Constant in an Air-Core Fiber","volume":"27","author":"Wen","year":"2009","journal-title":"J. Lightwave Technol."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Song, N.F., Wang, X.Y., Xu, X.B., Cai, W., and Wu, C.X. (2017). Measurement of the Verdet Constant of Polarization-Maintaining Air-Core Photonic Bandgap Fiber. Sensors, 17.","DOI":"10.3390\/s17081899"},{"key":"ref_23","unstructured":"Olson, M.A., and Lange, C.H. (2007). Magnetic Compensators for Fiber Optic Gyroscopes. (7,298,491), U.S. Patent."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"122","DOI":"10.1016\/j.optcom.2017.03.030","article-title":"Drift Suppression in a Dual-Polarization Fiber Optic Gyroscope Caused by the Faraday Effect","volume":"394","author":"Liu","year":"2017","journal-title":"Opt. Commun."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1273","DOI":"10.1109\/LPT.2017.2723007","article-title":"Bias Error Caused by the Faraday Effect in Fiber Optical Gyroscope With Double Sensitivity","volume":"29","author":"Liu","year":"2017","journal-title":"IEEE Photon. Technol. Lett."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1382","DOI":"10.1364\/OL.39.001382","article-title":"Nonreciprocal Phase Shift Caused by Magnetic-Thermal Coupling of a Polarization Maintaining Fiber Optic Gyroscope","volume":"39","author":"Zhang","year":"2014","journal-title":"Opt. Lett."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1364\/OL.22.000481","article-title":"All-Fiber Absolute Temperature Sensor Using an Unbalanced High-Birefringence Sagnac Loop","volume":"22","author":"Rosa","year":"1997","journal-title":"Opt. Lett."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"2213","DOI":"10.1364\/AO.32.002213","article-title":"Temperature and Strain Sensitivity Measurements of High-Birefringent Polarization-Maintaining Fibers","volume":"32","author":"Zhang","year":"1993","journal-title":"Appl. Opt."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"4490","DOI":"10.1364\/OPEX.12.004490","article-title":"Sagnac Loop Interferometer Based on Polarization Maintaining Photonic Crystal Fiber with Reduced Temperature Sensitivity","volume":"12","author":"Kim","year":"2004","journal-title":"Opt. Express"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1176","DOI":"10.1364\/AO.30.001176","article-title":"Temperature Dependence of the Verdet Constant in Several Diamagnetic Glasses","volume":"30","author":"Williams","year":"1991","journal-title":"Appl. Opt."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"654","DOI":"10.1364\/AO.19.000654","article-title":"Thermally Induced Nonreciprocity in the Fiber-Optic Interferometer","volume":"19","author":"Shupe","year":"1980","journal-title":"Appl. Opt."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"2463","DOI":"10.1364\/OL.39.002463","article-title":"Dual-Polarization Interferometric Fiber-Optic Gyroscope with an Ultra-Simple Configuration","volume":"39","author":"Wang","year":"2014","journal-title":"Opt. Lett."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/17\/9\/2046\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:44:19Z","timestamp":1760208259000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/17\/9\/2046"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,9,7]]},"references-count":32,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2017,9]]}},"alternative-id":["s17092046"],"URL":"https:\/\/doi.org\/10.3390\/s17092046","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,9,7]]}}}