{"title":"Biphotons propagation through a thin lens: A Bogoliubov transformation approach","authors":"V.A. Tomilin , A.M. Rostom , L.V. Il’ichov","doi":"10.1016/j.optcom.2025.131658","DOIUrl":null,"url":null,"abstract":"<div><div>We consider spatial correlations of biphoton components parametrically generated in a flat and thin non-linear medium and transformed by a thin lens. Utilizing the Bogoliubov transformation, we derive analytical formulae that facilitate the determination of the spatial behavior of the biphoton not only in the image or Fourier planes, but also in any other intermediate planes. We briefly discuss statistical properties of biphoton components in terms of their Bogoliubov coordinates.</div></div>","PeriodicalId":19586,"journal":{"name":"Optics Communications","volume":"583 ","pages":"Article 131658"},"PeriodicalIF":2.2000,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optics Communications","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0030401825001865","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"OPTICS","Score":null,"Total":0}
引用次数: 0
Abstract
We consider spatial correlations of biphoton components parametrically generated in a flat and thin non-linear medium and transformed by a thin lens. Utilizing the Bogoliubov transformation, we derive analytical formulae that facilitate the determination of the spatial behavior of the biphoton not only in the image or Fourier planes, but also in any other intermediate planes. We briefly discuss statistical properties of biphoton components in terms of their Bogoliubov coordinates.
期刊介绍：
Optics Communications invites original and timely contributions containing new results in various fields of optics and photonics. The journal considers theoretical and experimental research in areas ranging from the fundamental properties of light to technological applications. Topics covered include classical and quantum optics, optical physics and light-matter interactions, lasers, imaging, guided-wave optics and optical information processing. Manuscripts should offer clear evidence of novelty and significance. Papers concentrating on mathematical and computational issues, with limited connection to optics, are not suitable for publication in the Journal. Similarly, small technical advances, or papers concerned only with engineering applications or issues of materials science fall outside the journal scope.
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