Rotation and gyration of finite two-dimensional modes
| dc.contributor.author | Wolf, Kurt Bernardo | |
| dc.contributor.author | Alieva Krasheninnikova, Tatiana | |
| dc.date.accessioned | 2023-06-20T10:48:40Z | |
| dc.date.available | 2023-06-20T10:48:40Z | |
| dc.date.issued | 2008-02-01 | |
| dc.description | © 2008 Optical Society of America. T. Alieva acknowledges the Spanish Ministry of Education and Science for financial support (project TEC 2005- 02180/MIC). K. B. Wolf acknowledges the support of the SEP-CONACYT (México) project IN102603 “Óptica Matemática.” The authors are grateful to the UCM/ UNAM Collaboration Agreement for making this joint work possible. We appreciate Guillermo Krötzsch for assistance with the graphics, and Luis Edgar Vicent for Figs. 2 and 5. | |
| dc.description.abstract | Hermite-Gauss and Laguerre-Gauss modes of a continuous optical field in two dimensions can be obtained from each other through paraxial optical setups that produce rotations in (four-dimensional) phase space. These transformations build the SU(2) Fourier group that is represented by rigid rotations of the Poincare sphere. In finite systems, where the emitters and the sensors are in N x N square pixellated arrays, one defines corresponding finite orthonormal and complete sets of two-dimensional Kravchuk modes. Through the importation of symmetry from the continuous case, the transformations of the Fourier group are applied on the finite modes. | |
| dc.description.department | Depto. de Óptica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Spanish Ministry of Education and Science | |
| dc.description.sponsorship | SEP-CONACYT (México) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/27560 | |
| dc.identifier.doi | 10.1364/JOSAA.25.000365 | |
| dc.identifier.issn | 1084-7529 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1364/JOSAA.25.000365 | |
| dc.identifier.relatedurl | http://www.opticsinfobase.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/51265 | |
| dc.issue.number | 2 | |
| dc.journal.title | Journal of The Optical Society Of America A-Optics Image Science and Vision | |
| dc.language.iso | eng | |
| dc.page.final | 370 | |
| dc.page.initial | 365 | |
| dc.publisher | Optical Society of America | |
| dc.relation.projectID | TEC 2005- 02180/MIC | |
| dc.relation.projectID | IN102603 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 535 | |
| dc.subject.keyword | Fractional fourier-transforms | |
| dc.subject.keyword | Orbital angular-momentum | |
| dc.subject.keyword | Systems | |
| dc.subject.keyword | Oscillator | |
| dc.subject.keyword | Geometry | |
| dc.subject.keyword | Dynamics | |
| dc.subject.ucm | Óptica (Física) | |
| dc.subject.unesco | 2209.19 Óptica Física | |
| dc.title | Rotation and gyration of finite two-dimensional modes | |
| dc.type | journal article | |
| dc.volume.number | 25 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f1512137-328a-4bb6-9714-45de778c1be4 | |
| relation.isAuthorOfPublication.latestForDiscovery | f1512137-328a-4bb6-9714-45de778c1be4 |
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