Power filtering of nth order in the fractional Fourier domain
| dc.contributor.author | Bastiaans, Martin J. | |
| dc.contributor.author | Alieva Krasheninnikova, Tatiana | |
| dc.contributor.author | Calvo Padilla, María Luisa | |
| dc.date.accessioned | 2023-06-20T18:59:31Z | |
| dc.date.available | 2023-06-20T18:59:31Z | |
| dc.date.issued | 2002-09-13 | |
| dc.description | © 2002 IOP Publishing Ltd. Financial assistance fromthemultidisciplinary project PR486/97-7477/97from Complutense University of Madrid and grant TIC2000-2791-E from the Spanish Ministry of Science and Technology is acknowledged. TA would like to acknowledge the financial support from Secretaría de Estado de Educación y Universidades (SB2000-0166), the Spanish Ministry of Education, Culture and Sport. | |
| dc.description.abstract | The main properties of the power filtering operation in the fractional Fourier domain and its relationship to the differentiation operation are considered. The application of linear power filtering for solving the phase retrieval problem from intensity distributions only is proposed. The optical configuration for the experimental realization of the method is discussed. | |
| dc.description.department | Depto. de Óptica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Universidad Complutense de Madrid (UCM) | |
| dc.description.sponsorship | Ministerio de Ciencia y Tecnología, España | |
| dc.description.sponsorship | Secretaría de Estado de Educación y Universidades | |
| dc.description.sponsorship | Ministerio de Educación, Cultura y Deporte, España | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/25621 | |
| dc.identifier.doi | 10.1088/0305-4470/35/36/306 | |
| dc.identifier.issn | 0305-4470 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1088/0305-4470/35/36/306 | |
| dc.identifier.relatedurl | http://iopscience.iop.org | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/59062 | |
| dc.issue.number | 36 | |
| dc.journal.title | Journal of physics A: Mathematical and general | |
| dc.language.iso | eng | |
| dc.page.final | 7785 | |
| dc.page.initial | 7779 | |
| dc.publisher | IOP Publishing | |
| dc.relation.projectID | PR486/97-7477/97 | |
| dc.relation.projectID | TIC2000-2791-E | |
| dc.relation.projectID | SB2000-0166 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 535 | |
| dc.subject.keyword | Transform | |
| dc.subject.keyword | Convolution | |
| dc.subject.ucm | Óptica (Física) | |
| dc.subject.unesco | 2209.19 Óptica Física | |
| dc.title | Power filtering of nth order in the fractional Fourier domain | |
| dc.type | journal article | |
| dc.volume.number | 35 | |
| dcterms.references | [1] Namias V 1980 J. Inst. Math. Appl. 25 241. [2] McBride A C and Kerr F H 1987 IMA J. Appl. Math. 39 159. [3] Mendlovic D and Ozaktas H M 1993 J. Opt. Soc. Am. A 10 1875. [4] Almeida L B 1994 IEEE Trans. Signal Process. 42 3084. [5] Ozaktas H M, Zalevsky Z and Kutay M A 2001 The Fractional Fourier Transform—with Applications in Optics and Signal Processing (Chichester: Wiley). [6] Mendlovic D, Ozaktas H M and Lohmann A W 1995 Appl. Opt. 34 303. [7] Mustard D 1998 J. Aust. Math. Soc. B 40 257. [8] Akay O and Boudreaux-Bartels G F 2001 IEEE Trans. Signal Process. 49 979. [9] Lohmann A W 1993 J. Opt. Soc. Am. A 10 2181. [10] Abramowitz M and Stegun I A 1965 Handbook of Mathematical Functions (New York: Dover) p 12. [11] Ozaktas H M, Arikan O, Kutay M A and Bozdagi G 1996 IEEE Trans. Signal Process. 44 2141. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f1512137-328a-4bb6-9714-45de778c1be4 | |
| relation.isAuthorOfPublication | e2846481-608d-43dd-a835-d70f73a4dd48 | |
| relation.isAuthorOfPublication.latestForDiscovery | e2846481-608d-43dd-a835-d70f73a4dd48 |
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