{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:16:41Z","timestamp":1760235401393,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"16","license":[{"start":{"date-parts":[[2021,8,16]],"date-time":"2021-08-16T00:00:00Z","timestamp":1629072000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100006769","name":"Russian Science Foundation","doi-asserted-by":"publisher","award":["18-19-00595"],"award-info":[{"award-number":["18-19-00595"]}],"id":[{"id":"10.13039\/501100006769","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002261","name":"Russian Foundation for Basic Research","doi-asserted-by":"publisher","award":["18-29-20003"],"award-info":[{"award-number":["18-29-20003"]}],"id":[{"id":"10.13039\/501100002261","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>It is shown, theoretically and numerically, that the distributions of the longitudinal energy flow for tightly focused light with circular and linear polarization are the same, and that the spot has circular symmetry. It is also shown that the longitudinal energy flows are equal for optical vortices with unit topological charge and with radial or azimuthal polarization. The focal spot has a minimum diameter (all other characteristics being equal), which is measured based on the intensity of an optical vortex with azimuthal polarization. The diameter of the focal spot calculated from the energy flow for light with circular or linear polarization is slightly larger (by a fraction of a percentage). The magnitude of the diameter based on the intensity plays a role in the interaction of light with matter, and the magnitude of the diameter based on the energy flux affects the resolution in optical microscopy which is crucial in sensorial applications.<\/jats:p>","DOI":"10.3390\/s21165505","type":"journal-article","created":{"date-parts":[[2021,8,16]],"date-time":"2021-08-16T21:28:04Z","timestamp":1629149284000},"page":"5505","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Minimal Focal Spot Size Measured Based on Intensity and Power Flow"],"prefix":"10.3390","volume":"21","author":[{"given":"Victor V.","family":"Kotlyar","sequence":"first","affiliation":[{"name":"IPSI RAS\u2014Branch of the FSRC \u201cCrystallography and Photonics\u201d RAS, Molodogvardeyskaya 151, 443001 Samara, Russia"},{"name":"Department of Technical Cybernetics, Samara National Research University, Moskovskoye Shosse 34, 443086 Samara, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7008-8007","authenticated-orcid":false,"given":"Sergey S.","family":"Stafeev","sequence":"additional","affiliation":[{"name":"IPSI RAS\u2014Branch of the FSRC \u201cCrystallography and Photonics\u201d RAS, Molodogvardeyskaya 151, 443001 Samara, Russia"},{"name":"Department of Technical Cybernetics, Samara National Research University, Moskovskoye Shosse 34, 443086 Samara, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vladislav D.","family":"Zaitsev","sequence":"additional","affiliation":[{"name":"IPSI RAS\u2014Branch of the FSRC \u201cCrystallography and Photonics\u201d RAS, Molodogvardeyskaya 151, 443001 Samara, Russia"},{"name":"Department of Technical Cybernetics, Samara National Research University, Moskovskoye Shosse 34, 443086 Samara, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,8,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"e177","DOI":"10.1038\/lsa.2014.58","article-title":"Optical storage arrays: A perspective for future big data storage","volume":"3","author":"Gu","year":"2014","journal-title":"Light Sci. 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