{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T06:42:39Z","timestamp":1778654559638,"version":"3.51.4"},"reference-count":24,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2020,1,13]],"date-time":"2020-01-13T00:00:00Z","timestamp":1578873600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Interferometry sensors are frequently analyzed by applying the Fourier transform because the transformation separates all frequency components of its signal, making its study on a complex plane feasible. In this work, we study the relation between the optical path difference (OPD) and poles location theoretically and experimentally, using the Laplace transform and a pole-zero map. Theory and experiments are in concordance. For our study, only the cosine function was considered, which is filtered from the interference pattern. In experimental work, two unperturbed low-finesse Fabry\u2013P\u00e9rot interferometers were used. First, a Fabry\u2013P\u00e9rot interferometer that has a cavity length of    ~   1.6 mm was used. Its optical path difference was 2.33 mm and the poles were localized at points     \u00b1 i 12    . rad\/nm. Secondly, a Fabry\u2013P\u00e9rot interferometer with a cavity length of    ~   5.2 mm was used, and its optical path difference was 7.59 mm and the poles were localized at points     \u00b1 i 40.4     rad\/nm. Experimental results confirmed the theoretical analysis. Our proposal finds practical application for interferometer analysis, signal processing of optical fiber sensors, communication system analysis, and multiplexing systems based on interferometers.<\/jats:p>","DOI":"10.3390\/s20020453","type":"journal-article","created":{"date-parts":[[2020,1,15]],"date-time":"2020-01-15T03:20:22Z","timestamp":1579058422000},"page":"453","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Low-Finesse Fabry\u2013P\u00e9rot Interferometers Applied in the Study of the Relation between the Optical Path Difference and Poles Location"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0041-3932","authenticated-orcid":false,"given":"Jos\u00e9 Trinidad","family":"Guillen Bonilla","sequence":"first","affiliation":[{"name":"Departamento de Electr\u00f3nica, Centro Universitario de Ciencias Exactas e Ingenier\u00edas (C.U.C.E.I.), Universidad de Guadalajara, Blvd. M. Garc\u00eda Barrag\u00e1n 1421, Guadalajara 44410, Mexico"},{"name":"Departamento de Matem\u00e1ticas, Centro Universitario de Ciencias Exactas e Ingenier\u00edas (C.U.C.E.I.), Universidad de Guadalajara, Blvd. M. Garc\u00eda Barrag\u00e1n 1421, Guadalajara 44410, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"H\u00e9ctor","family":"Guillen Bonilla","sequence":"additional","affiliation":[{"name":"Departamento de Ingenier\u00eda de Proyectos, Centro Universitario de Ciencias Exactas e Ingenier\u00edas (C.U.C.E.I.), Universidad de Guadalajara, Blvd. M. Garc\u00eda Barrag\u00e1n 1421, Guadalajara 44410, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ver\u00f3nica Mar\u00eda","family":"Rodr\u00edguez Betancourtt","sequence":"additional","affiliation":[{"name":"Departamento de Qu\u00edmica, Centro Universitario de Ciencias Exactas e Ingenier\u00edas (C.U.C.E.I.), Universidad de Guadalajara, Blvd. M. Garc\u00eda Barrag\u00e1n 1421, Guadalajara 44410, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4018-672X","authenticated-orcid":false,"given":"Mar\u00eda Eugenia","family":"S\u00e1nchez Morales","sequence":"additional","affiliation":[{"name":"Departamento de Ciencias Tecnol\u00f3gicas, Centro Universitario de la Ci\u00e9nega (CUCien\u00e9ga), Universidad de Guadalajara, Av. Universidad No. 1115, LindaVista, C.P., Ocotl\u00e1n 47810, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Juan","family":"Reyes G\u00f3mez","sequence":"additional","affiliation":[{"name":"Departamento de Ciencias qu\u00edmicas, Universidad de Colima, Las V\u00edboras, Coquimatlan 28045, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Antonio","family":"Casillas Zamora","sequence":"additional","affiliation":[{"name":"Departamento de Ingenier\u00eda de Proyectos, Centro Universitario de Ciencias Exactas e Ingenier\u00edas (C.U.C.E.I.), Universidad de Guadalajara, Blvd. M. Garc\u00eda Barrag\u00e1n 1421, Guadalajara 44410, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alex","family":"Guillen Bonilla","sequence":"additional","affiliation":[{"name":"Departamento de Ciencias Computacionales e Ingenier\u00edas, Centro Universitario de los Valles (CUValles), Universidad de Guadalajara, Carretera Guadalajara-Ameca Km. 45.5, Ameca 46600, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,1,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1364\/AO.57.000005","article-title":"Development of a spatially dispersed short-coherence interferometry sensor using diffraction grating orders: Publisher\u2019s note","volume":"57","author":"Hassan","year":"2018","journal-title":"Appl. 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