{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,8]],"date-time":"2026-01-08T09:22:09Z","timestamp":1767864129074,"version":"3.49.0"},"reference-count":28,"publisher":"MDPI AG","issue":"24","license":[{"start":{"date-parts":[[2021,12,10]],"date-time":"2021-12-10T00:00:00Z","timestamp":1639094400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61775070"],"award-info":[{"award-number":["61775070"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"NSFC-RS Exchange Programme","award":["62111530153"],"award-info":[{"award-number":["62111530153"]}]},{"name":"the Royal Society International Exchanges 2020 Cost Share (NSFC) of United Kingdom","award":["IEC\\NSFC\\201015"],"award-info":[{"award-number":["IEC\\NSFC\\201015"]}]},{"DOI":"10.13039\/501100010877","name":"Science, Technology and Innovation Commission of Shenzhen Municipality","doi-asserted-by":"publisher","award":["2021Szvup089"],"award-info":[{"award-number":["2021Szvup089"]}],"id":[{"id":"10.13039\/501100010877","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>A passive homodyne phase demodulation technique based on a linear-fitting trigonometric-identity-transformation differential cross-multiplication (LF-TIT-DCM) algorithm is proposed. This technique relies on two interferometric signals whose interferometric phase difference is odd times of \u03c0. It is able to demodulate phase signals with a large dynamic range and wide frequency band. An anti-phase dual wavelength demodulation system is built to prove the LF-TIT-DCM algorithm. Comparing the traditional quadrature dual wavelength demodulation system with an ellipse fitting DCM (EF-DCM) algorithm, the phase difference of two interferometric signals of the anti-phase dual wavelength demodulation system is set to be \u03c0 instead of \u03c0\/2. This technique overcomes the drawback of EF-DCM\u2014that it is not able to demodulate small signals since the ellipse degenerates into a straight line and the ellipse fitting algorithm is invalidated. Experimental results show that the dynamic range of the proposed anti-phase dual wavelength demodulation system is much larger than that of the traditional quadrature dual wavelength demodulation system. Moreover, the proposed anti-phase dual wavelength demodulation system is hardly influenced by optical power, and the laser wavelength should be strictly limited to lower the reference error.<\/jats:p>","DOI":"10.3390\/s21248257","type":"journal-article","created":{"date-parts":[[2021,12,10]],"date-time":"2021-12-10T08:17:58Z","timestamp":1639124278000},"page":"8257","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Passive Homodyne Phase Demodulation Technique Based on LF-TIT-DCM Algorithm for Interferometric Sensors"],"prefix":"10.3390","volume":"21","author":[{"given":"Wanjin","family":"Zhang","sequence":"first","affiliation":[{"name":"Wuhan National Laboratory for Optoelectronics (WNLO) and National Engineering Laboratory for Next Generation Internet Access System, School of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan 430074, China"},{"name":"Huazhong University of Science and Technology Research Institute, Huazhong University of Science and Technology, Shenzhen 518000, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8431-1444","authenticated-orcid":false,"given":"Ping","family":"Lu","sequence":"additional","affiliation":[{"name":"Wuhan National Laboratory for Optoelectronics (WNLO) and National Engineering Laboratory for Next Generation Internet Access System, School of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan 430074, China"},{"name":"Huazhong University of Science and Technology Research Institute, Huazhong University of Science and Technology, Shenzhen 518000, China"}]},{"given":"Zhiyuan","family":"Qu","sequence":"additional","affiliation":[{"name":"Wuhan National Laboratory for Optoelectronics (WNLO) and National Engineering Laboratory for Next Generation Internet Access System, School of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan 430074, China"}]},{"given":"Jiangshan","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2901-7434","authenticated-orcid":false,"given":"Qiang","family":"Wu","sequence":"additional","affiliation":[{"name":"Faculty of Engineering and Environment, Northumbria University, Newcastle Upon Tyne NE1 8ST, UK"}]},{"given":"Deming","family":"Liu","sequence":"additional","affiliation":[{"name":"Wuhan National Laboratory for Optoelectronics (WNLO) and National Engineering Laboratory for Next Generation Internet Access System, School of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan 430074, China"}]}],"member":"1968","published-online":{"date-parts":[[2021,12,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"5079","DOI":"10.1109\/JLT.2017.2765693","article-title":"Noncontact Ultrasonic Detection in Low-Pressure Carbon Dioxide Medium Using High Sensitivity Fiber-Optic Fabry\u2013Perot Sensor System","volume":"35","author":"Jiang","year":"2017","journal-title":"J. Lightw. Technol."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"7101209","DOI":"10.1109\/JPHOT.2020.2977952","article-title":"Orthogonal Phase Demodulation of Optical Fiber Fabry-Perot Interferometer Based on Birefringent Crystals and Polarization Technology","volume":"12","author":"Huang","year":"2020","journal-title":"IEEE Photonics J."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"14764","DOI":"10.1109\/JSEN.2020.3009587","article-title":"A Fabry\u2013Perot Interferometer-Based Fiber Optic Dynamic Displacement Sensor With an Analog in-Phase\/Quadrature Generator","volume":"20","author":"Acharya","year":"2020","journal-title":"IEEE Sens. J."},{"key":"ref_4","first-page":"3926","article-title":"Absolute Measurement of Dynamic Low-Finesse Fabry-Perot Cavity Using Phase-Shifting White-Light Interferometry","volume":"30","author":"Liu","year":"2020","journal-title":"J. Lightw. Technol."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"2552","DOI":"10.1109\/JLT.2021.3053370","article-title":"Faraday Michelson interferometers for signal demodulation of fiber-optic sensors","volume":"39","author":"Liu","year":"2021","journal-title":"J. Lightw. Technol."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"2392","DOI":"10.1109\/JLT.2014.2379943","article-title":"Interrogation of Extrinsic Fabry\u2013Perot Sensors Using Path-Matched Differential Interferometry and Phase Generated Carrier Technique","volume":"33","author":"Wang","year":"2015","journal-title":"J. Lightw. Technol."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"3984","DOI":"10.1109\/JSEN.2015.2406872","article-title":"All-Fiber Mach\u2013Zehnder Interferometer for Liquid Level Measurement","volume":"15","author":"Sun","year":"2015","journal-title":"IEEE Sens. J."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1238","DOI":"10.1109\/LPT.2010.2053025","article-title":"Strain Sensor Realized by Using Low-Birefringence Photonic-Crystal-Fiber-Based Sagnac Loop","volume":"22","author":"Gong","year":"2010","journal-title":"IEEE Photonics Technol. Lett."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1015","DOI":"10.1109\/JLT.2016.2515943","article-title":"Fast Demodulation Algorithm for Multiplexed Low-Finesse Fabry\u2013P\u00e9rot Interferometers","volume":"34","author":"Yu","year":"2016","journal-title":"J. Lightw. Technol."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/j.optlastec.2013.03.019","article-title":"Feedback-stabilized interrogation technique for optical Fabry\u2013Perot acoustic sensor using a tunable fiber laser","volume":"51","author":"Wang","year":"2013","journal-title":"Opt. Laser Technol."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.optcom.2015.10.022","article-title":"Stabilizing operation point technique based on the tunable distributed feedback laser for interferometric sensors","volume":"361","author":"Mao","year":"2016","journal-title":"Opt. Commun."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1016\/j.ijleo.2011.11.093","article-title":"Stabilization of a fiber Fabry\u2013Perot interferometric acoustic wave sensor","volume":"124","author":"Chen","year":"2013","journal-title":"Optik"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"3054","DOI":"10.1109\/JSEN.2016.2526644","article-title":"Fiber-Optic Michelson Interferometric Acoustic Sensor Based on a PP\/PET Diaphragm","volume":"16","author":"Liu","year":"2016","journal-title":"IEEE Sens. J."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"7988","DOI":"10.1109\/JSEN.2019.2918570","article-title":"Symbiosis-Michelson Interferometer-Based Detection Scheme for the Measurement of Dynamic Signals","volume":"19","author":"Jia","year":"2019","journal-title":"IEEE Sens. J."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1888","DOI":"10.1109\/LPT.2015.2444421","article-title":"Eliminating Light Intensity Disturbance With Reference Compensation in Interferometers","volume":"27","author":"Zhang","year":"2015","journal-title":"IEEE Photonics Technol. Lett."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"514","DOI":"10.1016\/j.optcom.2016.08.013","article-title":"Diaphragm based long cavity Fabry\u2013Perot fiber acoustic sensor using phase generated carrier","volume":"382","author":"Liu","year":"2017","journal-title":"Opt. Commun."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1364\/JOT.84.000265","article-title":"Automatic carrier signal track algorithm in all-digital PGC demodulation scheme for optical interferometric sensors","volume":"84","author":"Wang","year":"2017","journal-title":"J. Opt. Technol."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"7861","DOI":"10.1109\/JSEN.2019.2917220","article-title":"Fiber-Optic Interferometric Sensor Based on the Self-Interference Pulse Interrogation Approach for Acoustic Emission Sensing in the Graphite\/Epoxy Composite","volume":"19","author":"Efimov","year":"2019","journal-title":"IEEE Sens. J."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1109\/19.728807","article-title":"Interferometer vibration sensor with two-wavelength passive quadrature readout","volume":"47","author":"Furstenau","year":"1998","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"2082","DOI":"10.1364\/OL.41.003082","article-title":"Wavelength-switched phase interrogator for extrinsic Fabry\u2013Perot interferometric sensors","volume":"41","author":"Xia","year":"2016","journal-title":"Opt. Lett."},{"key":"ref_21","first-page":"1","article-title":"Phase Demodulation of Short-Cavity Fabry\u2013Perot Interferometric Acoustic Sensors with Two Wavelengths","volume":"9","author":"Liao","year":"2017","journal-title":"IEEE Photonics J."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"27873","DOI":"10.1364\/OE.27.027873","article-title":"Common-path dual-wavelength quadrature phase demodulation of EFPI sensors using a broadly tunable MG-Y laser","volume":"27","author":"Liu","year":"2019","journal-title":"Opt. Express"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1156","DOI":"10.1109\/68.784236","article-title":"Dual heterodyne polarization diversity demodulation for fiber-optic interferometers","volume":"11","year":"1999","journal-title":"IEEE Photonics Technol. Lett."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"5481","DOI":"10.1109\/JLT.2018.2875086","article-title":"Characterization and Compensation of Phase Offset in \u03a6-OTDR With Heterodyne Detection","volume":"36","author":"Xue","year":"2018","journal-title":"J. Lightw. Technol."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"6800908","DOI":"10.1109\/JPHOT.2014.2306835","article-title":"Vector Brillouin Optical Time-Domain Analysis With Heterodyne Detection and IQ Demodulation Algorithm","volume":"6","author":"Tu","year":"2014","journal-title":"IEEE Photonics J."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"817","DOI":"10.1109\/LPT.2015.2391912","article-title":"Fast White Light Interferometry Demodulation Algorithm for Low-Finesse Fabry\u2013P\u00e9rot Sensors","volume":"27","author":"Yu","year":"2015","journal-title":"IEEE Photonics Technol. Lett."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"7102811","DOI":"10.1109\/JPHOT.2018.2827059","article-title":"Phase Interrogation of Diaphragm-Based Optical Fiber Acoustic Sensor Assisted by Wavelength-Scanned Spectral Coding","volume":"10","author":"Fu","year":"2018","journal-title":"IEEE Photonics J."},{"key":"ref_28","first-page":"6801911","article-title":"All-Optical Demodulation Fiber Acoustic Sensor With Real-Time Controllable Sensitivity Based on Optical Vernier Effect","volume":"11","author":"Wang","year":"2019","journal-title":"IEEE Photonics J."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/21\/24\/8257\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T07:44:54Z","timestamp":1760168694000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/21\/24\/8257"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,12,10]]},"references-count":28,"journal-issue":{"issue":"24","published-online":{"date-parts":[[2021,12]]}},"alternative-id":["s21248257"],"URL":"https:\/\/doi.org\/10.3390\/s21248257","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,12,10]]}}}