{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,1,15]],"date-time":"2025-01-15T19:40:31Z","timestamp":1736970031996,"version":"3.33.0"},"reference-count":20,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2024,3,6]],"date-time":"2024-03-06T00:00:00Z","timestamp":1709683200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100016308","name":"Bpifrance","doi-asserted-by":"crossref","award":["2020-PSPC-5","IPCEI Nano 2022"],"id":[{"id":"10.13039\/100016308","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"Silicon photonic sensors based on Mach Zehnder Interferometers (MZIs) have applications spanning from biological and olfactory sensors to temperature and ultrasound sensors. Although a coherent detection scheme can solve the issues of sensitivity fading and ambiguity in phase direction, the measured phase remains 2\u03c0 periodic. This implies that the acquisition frequency should ensure a phase shift lower than \u03c0 between each measurement point to prevent 2\u03c0 phase jumps. Here, we describe and experimentally characterize two methods based on reference MZIs with lower sensitivities to alleviate this drawback. These solutions improve the measurement robustness and allow the lowering of the acquisition frequency. The first method is based on the phase derivative sign comparison. When a discrepancy is detected, the reference MZI is used to choose whether 2\u03c0 should be added or removed from the nominal MZI. It can correct 2\u03c0 phase jumps regardless of the sensitivity ratio, so that a single reference MZI can be used to correct multiple nominal MZIs. This first method relaxes the acquisition frequency requirement by a factor of almost two. However, it cannot correct phase jumps of 4\u03c0, 6\u03c0 or higher between two measurement points. The second method is based on the comparison between the measured phase from the nominal MZI and the phase expected from the reference MZI. It can correct multiple 2\u03c0 phase jumps but requires at least one reference MZI per biofunctionalization. It will also constrain the corrected phase to lie in a limited interval of [\u2212\u03c0, +\u03c0] around the expected value, and might fail to correct phase shifts above a few tens of radians depending on the disparity of the nominal sensors responses. Nonetheless, for phase shift lower than typically 20 radians, this method allows the lowering of the acquisition frequency almost arbitrarily.<\/jats:p>","DOI":"10.3390\/s24051712","type":"journal-article","created":{"date-parts":[[2024,3,7]],"date-time":"2024-03-07T09:19:02Z","timestamp":1709803142000},"page":"1712","source":"Crossref","is-referenced-by-count":0,"title":["Correction of 2\u03c0 Phase Jumps for Silicon Photonic Sensors Based on Mach Zehnder Interferometers with Application in Gas and Biosensing"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2260-6703","authenticated-orcid":false,"given":"Loic","family":"Laplatine","sequence":"first","affiliation":[{"name":"Univ. Grenoble Alpes, CEA, LETI, 38054 Grenoble, France"}]},{"given":"Sonia","family":"Messaoudene","sequence":"additional","affiliation":[{"name":"Univ. Grenoble Alpes, CEA, LETI, 38054 Grenoble, France"}]},{"ORCID":"https:\/\/orcid.org\/0009-0008-8993-7321","authenticated-orcid":false,"given":"Nicolas","family":"Gaignebet","sequence":"additional","affiliation":[{"name":"Univ. Grenoble Alpes, CEA, LETI, 38054 Grenoble, France"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7569-1473","authenticated-orcid":false,"given":"Cyril","family":"Herrier","sequence":"additional","affiliation":[{"name":"Aryballe, 38000 Grenoble, France"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7976-3059","authenticated-orcid":false,"given":"Thierry","family":"Livache","sequence":"additional","affiliation":[{"name":"Univ. Grenoble Alpes, CEA, CNRS, Grenoble INP, IRIG, SyMMES, 38000 Grenoble, France"}]}],"member":"1968","published-online":{"date-parts":[[2024,3,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Luan, E., Shoman, H., Ratner, D.M., Cheung, K.C., and Chrostowski, L. (2018). 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