Alternative representation of the linear canonical integral transform
| dc.contributor.author | Alieva Krasheninnikova, Tatiana | |
| dc.contributor.author | Bastiaans, Martin J. | |
| dc.date.accessioned | 2023-06-20T10:48:58Z | |
| dc.date.available | 2023-06-20T10:48:58Z | |
| dc.date.issued | 2005-12-15 | |
| dc.description | © 2005 Optical Society of America. The Spanish Ministry of Education and Science is acknowledged for financial support through a “Ramon y Cajal” grant and projects TIC 2002-01846 (T. Alieva, talieva@fis.ucm.es) and SAB2004-0018 (M. J. Bastiaans, m.j.bastiaans@tue.nl). | |
| dc.description.abstract | Starting with the Iwasawa-type decomposition of a first-order optical system (or ABCD system) as a cascade of a lens, a magnifier, and an orthosymplectic system (a system that is both symplectic and orthogonal), a further decomposition of the orthosymplectic system in the form of a separable fractional Fourier transformer embedded between two spatial-coordinate rotators is proposed. The resulting decomposition of the entire first-order optical system then shows a physically attractive representation of the linear canonical integral transformation, which, in contrast to Collins integral, is valid for any ray transformation matrix. | |
| 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.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/27678 | |
| dc.identifier.doi | 10.1364/OL.30.003302 | |
| dc.identifier.issn | 0146-9592 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1364/OL.30.003302 | |
| dc.identifier.relatedurl | http://www.opticsinfobase.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/51275 | |
| dc.issue.number | 24 | |
| dc.journal.title | Optics letters | |
| dc.language.iso | eng | |
| dc.page.final | 3304 | |
| dc.page.initial | 3302 | |
| dc.publisher | Optical Society of America | |
| dc.relation.projectID | TIC 2002-01846 | |
| dc.relation.projectID | SAB2004-0018 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 535 | |
| dc.subject.keyword | Optics | |
| dc.subject.ucm | Óptica (Física) | |
| dc.subject.unesco | 2209.19 Óptica Física | |
| dc.title | Alternative representation of the linear canonical integral transform | |
| dc.type | journal article | |
| dc.volume.number | 30 | |
| dcterms.references | 1. R. K. Luneburg, Mathematical Theory of Optics (University of California Press, 1966). 2. S. A. Collins, Jr., J. Opt. Soc. Am. 60, 1168 (1970). 3. M. Moshinsky and C. Quesne, J. Math. Phys. 12, 1772 (1971). 4. R. Simon and N. Mukunda, J. Opt. Soc. Am. A 15, 2146 (1998). 5. K. B. Wolf, Geometric Optics on Phase Space (Springer, 2004). 6. H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, 2001). 7. V. Namias, J. Inst. Math. Appl. 25, 241 (1980). 8. A. C. McBride and F. H. Kerr, IMA J. Appl. Math. 39, 159 (1987). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f1512137-328a-4bb6-9714-45de778c1be4 | |
| relation.isAuthorOfPublication.latestForDiscovery | f1512137-328a-4bb6-9714-45de778c1be4 |
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