Fourier series analysis of fractal lenses: theory and experiments with a liquid-crystal display
| dc.contributor.author | Davis, Jeffrey A. | |
| dc.contributor.author | Sigarlaki, Sean Paul | |
| dc.contributor.author | Craven, Julia M. | |
| dc.contributor.author | Calvo Padilla, María Luisa | |
| dc.date.accessioned | 2023-06-20T10:42:32Z | |
| dc.date.available | 2023-06-20T10:42:32Z | |
| dc.date.issued | 2006-02-20 | |
| dc.description | © 2006 Optical Society of America. | |
| dc.description.abstract | We report on a Fourier series approach that predicts the focal points and intensities produced by fractal zone plate lenses. This approach allows us to separate the effects of the fractal order from those of the lens aperture. We implement these fractal lenses onto a liquid-crystal display and show experimental verification of our theory. | |
| dc.description.department | Depto. de Óptica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/25511 | |
| dc.identifier.doi | 10.1364/AO.45.001187 | |
| dc.identifier.issn | 1559-128X | |
| dc.identifier.officialurl | http://dx.doi.org/10.1364/AO.45.001187 | |
| dc.identifier.relatedurl | http://www.opticsinfobase.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/51046 | |
| dc.issue.number | 6 | |
| dc.journal.title | Applied Optics | |
| dc.language.iso | eng | |
| dc.page.final | 1192 | |
| dc.page.initial | 1187 | |
| dc.publisher | The Optical Society Of America | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 535 | |
| dc.subject.keyword | Variable Lacunarity | |
| dc.subject.keyword | Zone Plates | |
| dc.subject.keyword | Superlattices | |
| dc.subject.keyword | Diffraction | |
| dc.subject.ucm | Óptica (Física) | |
| dc.subject.unesco | 2209.19 Óptica Física | |
| dc.title | Fourier series analysis of fractal lenses: theory and experiments with a liquid-crystal display | |
| dc.type | journal article | |
| dc.volume.number | 45 | |
| dcterms.references | 1. G. Saavedra, W. D. Furlan, and J. A. Monsoriu, "Fractal zone plates," Opt. Lett. 28, 971-973 (2003). 2. J. A. Davis, L. Ramirez, J. A. R. Martin-Romo, T. Alieva, and M. L. Calvo, "Focusing properties of fractal zone plates: experimental implementation with a liquid-crystal display," Opt. Lett. 29, 1321-1323 (2004). 3. L. Zunino and M. Garavaglia, "Frauhofer diffraction by Cantor fractals with variable lacunarity," J. Mod. Opt. 50, 717-728 (2003). 4. J. A. Monsoriu, G. Saavedra, and W. D. Furlan, "Fractal zone plates with variable lacunarity," Opt. Express 12, 4227-4234 (2004). 5. D. L. Jaggard and A. D. Jaggard, "Polyadic Cantor superlattices with variable lacunarity," Opt. Lett. 22, 145-147 (1997). 6. A. D. Jaggard and D. L. Jaggard, "Scattering from fractal superlattices with variable lacunarity," J. Opt. Soc. Am. A 15, 1626-1635 (1998). 7. J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, "Transmission variations in liquid crystal spatial light modulators caused by interference and diffraction effects," Opt. Eng. 38, 1051-1057 (1999). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | e2846481-608d-43dd-a835-d70f73a4dd48 | |
| relation.isAuthorOfPublication.latestForDiscovery | e2846481-608d-43dd-a835-d70f73a4dd48 |
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