Programmable two-dimensional optical fractional Fourier processor

dc.contributor.authorRodrigo Martín-Romo, José Augusto
dc.contributor.authorAlieva Krasheninnikova, Tatiana
dc.contributor.authorCalvo Padilla, María Luisa
dc.date.accessioned2023-06-20T03:39:42Z
dc.date.available2023-06-20T03:39:42Z
dc.date.issued2009-03-30
dc.description© 2009 Optical Society of America. The financial support of the Spanish Ministry of Science and Innovation under projects TEC2005-02180, TEC2008-04105 and Santander-Complutense project PR-34/07-15914 are acknowledged. The authors thank Dr. Óscar Martínez-Matos for valuable discussions.
dc.description.abstractA flexible optical system able to perform the fractional Fourier transform (FRFT) almost in real time is presented. In contrast to other FRFT setups the resulting transformation has no additional scaling and phase factors depending on the fractional orders. The feasibility of the proposed setup is demonstrated experimentally for a wide range of fractional orders. The fast modification of the fractional orders, offered by this optical system, allows to implement various proposed algorithms for beam characterization, phase retrieval, information processing, etc.
dc.description.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (España)
dc.description.sponsorshipBanco Santander Central Hispano (BSCH)
dc.description.sponsorshipUniversidad Complutense de Madrid (UCM)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/25456
dc.identifier.doi10.1364/OE.17.004976
dc.identifier.issn1094-4087
dc.identifier.officialurlhttp://dx.doi.org/10.1364/OE.17.004976
dc.identifier.relatedurlhttp://www.opticsinfobase.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/44189
dc.issue.number7
dc.journal.titleOptics Express
dc.language.isoeng
dc.page.final4983
dc.page.initial4976
dc.publisherThe Optical Society Of America
dc.relation.projectIDTEC2005-02180
dc.relation.projectIDTEC2008-04105
dc.relation.projectIDPR-34/07-15914
dc.rights.accessRightsopen access
dc.subject.cdu535
dc.subject.keywordGyrator Transform
dc.subject.keywordPhase-Space
dc.subject.keywordOrder
dc.subject.keywordImplementation
dc.subject.keywordSystem
dc.subject.keywordImage
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleProgrammable two-dimensional optical fractional Fourier processor
dc.typejournal article
dc.volume.number17
dcterms.references1. H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (John Wiley&Sons, NY, USA, 2001). 2. D. F. McAlister, M. Beck, L. Clarke, A. Mayer, and M. G. Raymer, "Optical phase retrieval by phase-space tomography and fractional-order Fourier transforms," Opt. Lett. 20, 1181-1183 (1995). URL http://ol.osa.org/abstract.cfm?URI=ol-20-10-1181. 3. J. A. Rodrigo, T. Alieva, and M. L. Calvo, "Optical system design for orthosymplectic transformations in phase space," J. Opt. Soc. Am. A 23, 2494-2500 (2006), http://josaa.osa.org/abstract.cfm?URI=josaa-23-10-2494. 4. D. Mendlovic and H. M. Ozaktas, "Fractional Fourier transform and their optical implementation," J. Opt. Soc. Am. A 10, 1875-1881 (1993). 5. A. W. Lohmann, "Image rotation, Wigner rotation, and the fractional order Fourier transform," J. Opt. Soc. Am. A 10, 2181-2186 (1993). 6. A. Sahin, H. M. Ozaktas, and D. Mendlovic, "Optical Implementations of Two-Dimensional Fractional Fourier Transforms and Linear Canonical Transforms with Arbitrary Parameters," Appl. Opt. 37, 2130-2141 (1998), http://ao.osa.org/abstract.cfm?URI=ao-37-11-2130. 7. I. Moreno, J. A. Davis, and K. Crabtree, "Fractional Fourier transform optical system with programmable diffractive lenses," Appl. Opt. 42, 6544-6548 (2003). 8. A. A. Malyutin, "Tunable Fourier transformer of the fractional order," Quantum Electron. 36, 79-83 (2006). 9. I. Moreno, C. Ferreira, and M. M. Sánchez-López, "Ray matrix analysis of anamorphic fractional Fourier systems," J. Opt. A: Pure and Applied Optics 8, 427-435 (2006), http://stacks.iop.org/1464-4258/8/427. 10. J. A. Rodrigo, T. Alieva, and M. L. Calvo, "Gyrator transform: properties and applications," Opt. Express 15, 2190-2203 (2007), http://www.opticsexpress.org/abstract.cfm?URI=oe-15-5-2190. 11. J. A. Rodrigo, T. Alieva, and M. L. Calvo, "Experimental implementation of the gyrator transform," J. Opt. Soc. Am. A 24, 3135-3139 (2007), http://josaa.osa.org/abstract.cfm?URI=josaa-24-10-3135. 12. G. Nemes and A. E. Seigman, "Measurement of all ten second-order moments of an astigmatic beam by use of rotating simple astigmatic (anamorphic) optics," J. Opt. Soc. Am. A 11, 2257-2264 (1994). 13. J. A. Rodrigo, "First-order optical systems in information processing and optronic devices," Ph.D. thesis, Universidad Complutense de Madrid (2008). 14. T. Alieva and M. J. Bastiaans, "Orthonormal mode sets for the two-dimensional fractional Fourier transformation," Opt. Lett. 32, 1226-1228 (2007), http://ol.osa.org/abstract.cfm?URI=ol-32-10-1226. 15. A. Jesacher, A. Schwaighofer, S. Fürhapter, C. Maurer, S. Bernet, and M. Ritsch-Marte, "Wavefront correction of spatial light modulators using an optical vortex image," Opt. Express 15, 5801-5808 (2007), http://www.opticsexpress.org/abstract.cfm?URI=oe-15-9-5801. 16. D. Mendlovic, R. G. Dorsch, A. W. Lohmann, Z. Zalevsky, and C. Ferreira, "Optical illustration of a varied fractional Fourier-transform order and the Radon—Wigner display," Appl. Opt. 35, 3925-3929 (1996), http://ao.osa.org/abstract.cfm?URI=ao-35-20-3925.
dspace.entity.typePublication
relation.isAuthorOfPublicationf1512137-328a-4bb6-9714-45de778c1be4
relation.isAuthorOfPublicatione2846481-608d-43dd-a835-d70f73a4dd48
relation.isAuthorOfPublication.latestForDiscoverye2846481-608d-43dd-a835-d70f73a4dd48

Download

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
CalvoML25libre.pdf
Size:
1.3 MB
Format:
Adobe Portable Document Format

Collections