{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T05:20:48Z","timestamp":1773292848700,"version":"3.50.1"},"reference-count":46,"publisher":"Optica Publishing Group","issue":"7","license":[{"start":{"date-parts":[[2020,2,27]],"date-time":"2020-02-27T00:00:00Z","timestamp":1582761600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/doi.org\/10.1364\/OA_License_v1#VOR-OA"},{"start":{"date-parts":[[2020,2,27]],"date-time":"2020-02-27T00:00:00Z","timestamp":1582761600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/opg.optica.org\/policies\/opg-tdm-policy.json"}],"funder":[{"DOI":"10.13039\/501100003141","name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","doi-asserted-by":"publisher","award":["A1-S-20925"],"award-info":[{"award-number":["A1-S-20925"]}],"id":[{"id":"10.13039\/501100003141","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["opg.optica.org"],"crossmark-restriction":false},"short-container-title":["Appl. Opt."],"published-print":{"date-parts":[[2020,3,1]]},"abstract":"<jats:p>We present an interferometric method to analyze transparent samples using complex fringes generated by a parallel phase shifting radial shear interferometer using two coupled interferometers. Parallel interferograms are generated using two interferometers: the first one generates the polarized base pattern, and the second system is used to generate parallel interferograms allowing the adjustment of the <jats:inline-formula>\n      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n\t<mml:mi>x<\/mml:mi>\n\t<mml:mo>\u2212<\/mml:mo>\n\t<mml:mi>y<\/mml:mi>\n      <\/mml:math>\n    <\/jats:inline-formula> positions of the parallel interferograms. To obtain the optical phase map, parallel phase shift is generated by collocating polarizing filters at the output of the system; the polarizers are placed at arbitrary angles since they do not require adjustment because of the phase-recovery algorithm. The optical phase was processed using a two-step algorithm based on a modified Gram\u2013Schmidt orthogonalization method. Such an algorithm has the advantage of not being iterative and is robust to amplitude modulation. The proposed method reduces the number of captures needed in phase-shifting interferometry. We applied\u00a0the developed system to examine static and dynamics phase objects.<\/jats:p>","DOI":"10.1364\/ao.385632","type":"journal-article","created":{"date-parts":[[2020,1,24]],"date-time":"2020-01-24T13:06:11Z","timestamp":1579871171000},"page":"2128","update-policy":"https:\/\/doi.org\/10.1364\/crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Parallel phase shifting radial shear interferometry with complex fringes and unknown phase shift"],"prefix":"10.1364","volume":"59","author":[{"given":"Luis","family":"Garc\u00eda-Lechuga","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Patricia","family":"P\u00e9rez-Luna","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3632-5344","authenticated-orcid":true,"given":"Victor H.","family":"Flores","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Areli","family":"Montes-P\u00e9rez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Adolfo","family":"Quiroz-Rodr\u00edguez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Juan","family":"Manuel Islas-Islas","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0624-6971","authenticated-orcid":true,"given":"Noel-Ivan","family":"Toto-Arellano","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"285","published-online":{"date-parts":[[2020,2,27]]},"reference":[{"key":"ao-59-7-2128-R1","first-page":"253","article-title":"Interferometry","volume-title":"Symposium 11 at National Physical Laboratory","author":"Brown","year":"1960"},{"key":"ao-59-7-2128-R2","doi-asserted-by":"publisher","first-page":"428","DOI":"10.1088\/0950-7671\/38\/11\/305","volume":"38","author":"Hariharan","year":"1961","journal-title":"J. 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