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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2015-6-6-857-865</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-922</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>REGULAR PAPERS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>REGULAR PAPERS</subject></subj-group></article-categories><title-group><article-title>Parameterization of an interaction operator of optical modes in a single-mode optical fiber</article-title><trans-title-group xml:lang="ru"><trans-title></trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Miroshnichenko</surname><given-names>G. P.</given-names></name></name-alternatives><bio xml:lang="en"><p>St. Petersburg, 197101</p></bio><email xlink:type="simple">gpmirosh@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>ITMO University</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2015</year></pub-date><pub-date pub-type="epub"><day>15</day><month>08</month><year>2025</year></pub-date><volume>6</volume><issue>6</issue><fpage>857</fpage><lpage>865</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Miroshnichenko G.P., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Miroshnichenko G.P.</copyright-holder><copyright-holder xml:lang="en">Miroshnichenko G.P.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://nanojournal.ifmo.ru/jour/article/view/922">https://nanojournal.ifmo.ru/jour/article/view/922</self-uri><abstract><p>The phenomenological parameters of the Hamiltonian for the photons produced in earlier studies [<xref ref-type="bibr" rid="cit4">4</xref>] are associated with the parameters of the deformed optical fiber (OF). This Hamiltonian is necessary for the correct description of the propagation of photons through the quantum channel in a quantum communication protocols. Models of a compressing strain of the OF profile and a twisting deformation are considered. As a consequence, the phenomenological parameters of the Hamiltonian expressed in terms of such strains characteristics, as a relative compression of the profile, OF radius, the orientation angle of the deformed profile, rotation angle per unit length, elasto-optical tensor, and refraction coefficient.</p></abstract><kwd-group xml:lang="en"><kwd>Hamiltonian of photons</kwd><kwd>deformed optical fiber</kwd><kwd>quantum channel</kwd><kwd>phenomenological parameters of the Hamiltonian</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This work was partially financially supported by the Government of the Russian Federation (grant 074-U01), by Ministry of Education and Science of the Russian Federation (GOSZADANIE 2014/190, Project 14.Z50.31.0031 and ZADANIE No. 1.754.2014/K), by grant of Russian Foundation for Basic Researches and grant of the President of Russia (MK- 2736.2015.2).</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">K. 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