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Gyrator transform: properties and applications

dc.contributor.authorRodrigo Martín-Romo, José Augusto
dc.contributor.authorAlieva Krasheninnikova, Tatiana
dc.contributor.authorCalvo Padilla, María Luisa
dc.date.accessioned2023-06-20T10:42:27Z
dc.date.available2023-06-20T10:42:27Z
dc.date.issued2007-03-05
dc.description© 2007 Optical Society of America. Spanish Ministry of Education and Science is acknowledged for financial support, project TEC2005-02180/MIC.
dc.description.abstractIn this work we formulate the main properties of the gyrator operation which produces a rotation in the twisting (position-spatial frequency) phase planes. This transform can be easily performed in paraxial optics that underlines its possible application for image processing, holography, beam characterization, mode conversion and quantum information. As an example, it is demonstrated the application of gyrator transform for the generation of a variety of stable modes.
dc.description.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Educación y Ciencia (MEC), España
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/25504
dc.identifier.doi10.1364/OE.15.002190
dc.identifier.issn1094-4087
dc.identifier.officialurlhttp://dx.doi.org/10.1364/OE.15.002190
dc.identifier.relatedurlhttp://www.opticsinfobase.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51043
dc.issue.number5
dc.journal.titleOptics Express
dc.language.isoeng
dc.page.final2203
dc.page.initial2190
dc.publisherThe Optical Society Of America
dc.relation.projectIDTEC 2005-02180/MIC
dc.rights.accessRightsopen access
dc.subject.cdu535
dc.subject.keywordOrbital Angular-Momentum
dc.subject.keywordOptical-Systems
dc.subject.keywordGaussian Beams
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleGyrator transform: properties and applications
dc.typejournal article
dc.volume.number15
dcterms.references1. H. M. Ozaktas, Z. Zalevsky, and M. Alper Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (John Wiley and Sons, NY, USA (2001). 2. M. W. Beijersbergen, L. Allen, H. E. L. O. Van der Veen and J. P. Woerdman, "Astigmatic laser mode converters and transfer of orbital angular momentum”, Opt. Commun. 96, 123-132 (1993). 3. E. G. Abramochkin and V. G. Volostnikov, "Beam transformations and nontransformed beams”, Opt. Commun. 83, 123-135 (1991). 4. E. G. Abramochkin and V. G. Volostnikov, "Generalized Gaussian beams”, J. Opt. A.: Pure Appl. Opt. 6, S157- S161 (2004). 5. G. F. Calvo, "Wigner representation and geometric transformations of optical orbital angular momentum spatial modes”, Opt. Lett. 30, 1207-1209 (2005). 6. R. Simon and K. B. Wolf, "Structure of the set of paraxial optical systems”, J. Opt. Soc. Am. A 17, 342-355 (2000). 7. K. B. Wolf, Geometric Optics on Phase Space (Springer-Verlag, Berlin, 2004). 8. J. A. Rodrigo, T. Alieva, M. L. Calvo, "Optical system design for ortho-symplectic transformations in phase space”, J. Opt. Soc. Am. A 23, 2494-2500 (2006). 9. T. Alieva, V. Lopez, F. Agullo Lopez, L. B. Almeida, "The fractional Fourier transform in optical propagation problems, " J. Mod. Opt. 41, 1037-1044 (1994). 10. M. Bastiaans and T. Alieva, "First-order optical systems with unimodular eigenvalues”, J. Opt. Soc. Am. A 23, 1875-1883 (2006). 11. T. Alieva and M. Bastiaans, "Mode mapping in paraxial lossless optics”, Opt. Lett. 30, 1461-1463 (2005). 12. M. Abramowitz and I. A. Stegun, eds., Pocketbook of Mathematical Functions, Frankfurt am Main, Germany (1984). 13. I. S. Gradshteyn and I. M. Ryzhik, Table of integrals, series and products (Academic Press, NY, USA, 1996). 14. V. V. Kotlyar, S. N. Khonina, A. A. Almazov, V. A. Soifer, K. Jefimovs and J. Turunen, "Elliptic Laguerre- Gaussian beams”, J. Opt. Soc. Am. A 23, 43-56, (2006).
dspace.entity.typePublication
relation.isAuthorOfPublicationf1512137-328a-4bb6-9714-45de778c1be4
relation.isAuthorOfPublicatione2846481-608d-43dd-a835-d70f73a4dd48
relation.isAuthorOfPublication.latestForDiscoverye2846481-608d-43dd-a835-d70f73a4dd48

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