{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,9]],"date-time":"2026-07-09T06:24:04Z","timestamp":1783578244822,"version":"3.55.0"},"reference-count":24,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2023,2,10]],"date-time":"2023-02-10T00:00:00Z","timestamp":1675987200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Ministry of Science and Higher Education"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>The work is dedicated to a comparative analysis of the following methods for fiber Bragg grating (FBG) spectral response modeling. The Layer Sweep (LS) method, which is similar to the common layer peeling algorithm, is based on the reflectance and transmittance determination for the plane waves propagating through layered structures, which results in the solution of a system of linear equations for the transmittance and reflectance of each layer using the sweep method. Another considered method is based on the determination of transfer matrices (TM) for the FBG as a whole. Firstly, a homogeneous FBG was modeled using both methods, and the resulting reflectance spectra were compared to the one obtained via a specialized commercial software package. Secondly, modeling results of a \u03c0-phase-shifted FBG were presented and discussed. For both FBG models, the influence of the partition interval of the LS method on the simulated spectrum was studied. Based on the analysis of the simulation data, additional required modeling conditions for phase-shifted FBGs were established, which enhanced the modeling performance of the LS method.<\/jats:p>","DOI":"10.3390\/a16020101","type":"journal-article","created":{"date-parts":[[2023,2,10]],"date-time":"2023-02-10T04:48:03Z","timestamp":1676004483000},"page":"101","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Comparative Analysis of the Methods for Fiber Bragg Structures Spectrum Modeling"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1043-7487","authenticated-orcid":false,"given":"Timur","family":"Agliullin","sequence":"first","affiliation":[{"name":"Department of Radiophotonics and Microwave Technologies, Kazan National Research Technical University Named after A.N. Tupolev-KAI, 10 K. Marx St., 420111 Kazan, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0015-2429","authenticated-orcid":false,"given":"Vladimir","family":"Anfinogentov","sequence":"additional","affiliation":[{"name":"Department of Radiophotonics and Microwave Technologies, Kazan National Research Technical University Named after A.N. Tupolev-KAI, 10 K. Marx St., 420111 Kazan, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4779-4656","authenticated-orcid":false,"given":"Oleg","family":"Morozov","sequence":"additional","affiliation":[{"name":"Department of Radiophotonics and Microwave Technologies, Kazan National Research Technical University Named after A.N. Tupolev-KAI, 10 K. Marx St., 420111 Kazan, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0713-7806","authenticated-orcid":false,"given":"Airat","family":"Sakhabutdinov","sequence":"additional","affiliation":[{"name":"Department of Radiophotonics and Microwave Technologies, Kazan National Research Technical University Named after A.N. Tupolev-KAI, 10 K. Marx St., 420111 Kazan, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1643-4183","authenticated-orcid":false,"given":"Bulat","family":"Valeev","sequence":"additional","affiliation":[{"name":"Department of Radiophotonics and Microwave Technologies, Kazan National Research Technical University Named after A.N. Tupolev-KAI, 10 K. Marx St., 420111 Kazan, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ayna","family":"Niyazgulyeva","sequence":"additional","affiliation":[{"name":"Department of Radio Communication and Radio Technology Systems, Institute of Telecommunications and Informatics of Turkmenistan, 68 Magtymguly St., Ashgabat 744000, Turkmenistan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yagmyrguly","family":"Garovov","sequence":"additional","affiliation":[{"name":"Department of Radio Communication and Radio Technology Systems, Institute of Telecommunications and Informatics of Turkmenistan, 68 Magtymguly St., Ashgabat 744000, Turkmenistan"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1364\/AO.27.000547","article-title":"Optical Fiber Fabry-Perot Sensors","volume":"27","author":"Tseng","year":"1988","journal-title":"Appl. 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Lett."}],"container-title":["Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1999-4893\/16\/2\/101\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T18:30:11Z","timestamp":1760121011000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1999-4893\/16\/2\/101"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,2,10]]},"references-count":24,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2023,2]]}},"alternative-id":["a16020101"],"URL":"https:\/\/doi.org\/10.3390\/a16020101","relation":{},"ISSN":["1999-4893"],"issn-type":[{"value":"1999-4893","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,2,10]]}}}