Near field diffraction of cylindrical convex gratings
dc.contributor.author | Torcal Milla, Francisco José | |
dc.contributor.author | Sánchez Brea, Luis Miguel | |
dc.contributor.author | Bernabeu Martínez, Eusebio | |
dc.date.accessioned | 2023-06-19T14:59:07Z | |
dc.date.available | 2023-06-19T14:59:07Z | |
dc.date.issued | 2015 | |
dc.description | © 2015 IOP Publishing Ltd. The authors thank Jose Maria Herrera-Fernandez for his help with graphics. This work has been supported by the project DPI2011-27851 of the Ministry of Science and Innovation of Spain and the project Fagor Automation-UCM Ref. 92/2014. | |
dc.description.abstract | We analyze the field produced by a cylindrical convex diffraction grating at the Fresnel regime for several kinds of light sources, including a monochromatic quasipunctual source, finite size, and polychromatic sources. These results can help one understand the functioning of rotary optical encoder technology. A decrease in the self-image contrast is produced for finite nonpunctual sources. In addition, the polychromaticity of the source affects the smoothness of the self-images, making them quasicontinuous from a certain distance from the grating forward. Finally, we experimentally validate the obtained analytical predictions. | |
dc.description.department | Depto. de Óptica | |
dc.description.faculty | Fac. de Ciencias Físicas | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | Ministerio de Ciencia e Innovación (MICINN), España | |
dc.description.sponsorship | Project Fagor Automation-UCM | |
dc.description.sponsorship | Universidad Complutense de Madrid (UCM) | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/35521 | |
dc.identifier.doi | 10.1088/2040-8978/17/3/035601 | |
dc.identifier.issn | 2040-8978 | |
dc.identifier.officialurl | http://dx.doi.org/10.1088/2040-8978/17/3/035601 | |
dc.identifier.relatedurl | http://iopscience.iop.org/ | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/35041 | |
dc.issue.number | 3 | |
dc.journal.title | Journal of optics | |
dc.language.iso | eng | |
dc.publisher | IOP Publishing | |
dc.relation.projectID | DPI2011-27851 | |
dc.relation.projectID | 92/2014 | |
dc.rights.accessRights | open access | |
dc.subject.cdu | 535 | |
dc.subject.keyword | Rotary encoder | |
dc.subject.ucm | Óptica (Física) | |
dc.subject.unesco | 2209.19 Óptica Física | |
dc.title | Near field diffraction of cylindrical convex gratings | |
dc.type | journal article | |
dc.volume.number | 17 | |
dcterms.references | [1] Loewen E G and Popov E 1997 Diffraction Gratings and Applications (New York: Marcel Dekker) [2] Palmer C 2000 Diffraction Grating Handbook (New York : Richardson Grating Laboratory) [3] Patorski K 1989 The self-imaging phenomenon and its applications Prog. Opt. 27 1–108 [4] Lohmann A W 1971 An interferometer based on the Talbot effect Opt. Commun. 2 413–5 [5] Oreb B F and Dorsch R G 1994 Profilometry by phase-shifted Talbot images Appl. Opt. 33 7955–62 [6] Talbot W H F 1836 Facts relating to optical science Phil. Mag. 9 401–7 [7] Sugiyama Y, Matsui Y, Toyoda H, Mukozaka N, Ihori A, Abe T, Tabake M and Mizuno S 2008 A 3.2 kHz, 14-Bit optical absolute rotary encoder with a CMOS profile sensor IEEE Sensors J. 8 1430–6 [8] Zhang J H and Cai L 1998 Autofocus laser rotary encoder Appl. Opt. 37 2691–5 [9] Alonso J and Bernabeu E 1993 Use of effective focal lengths to describe laser-beam evolution after diffraction in radial gratings J. Opt. Soc. Am. A 10 1963–70 [10] Koch J A, Cui S and McNeill M A 1999 Effective-focal-length calculations and measurements for a radial diffraction grating J. Opt. Soc. Am. A 16 2690–4 [11] Salgado-Remacha F J, Torcal-Milla F J, Sánchez-Brea L M and Bernabeu E 2011 Use of steel substrates in diffractive optics: near field oh high surface quality steel tape gratings Opt. Lasers Eng. 49 356–60 [12] Lutey A H A 2013 An improved model for nanosecond pulsed laser ablation of metals J. Appl. Phys. 114 083108 [13] Hsieh C T and Lee C K 1999 Cylindrical–type nanometerresolution laser diffractive optical encoder Appl. Opt. 38 4743–50 [14] Tonchev S, Jourlin Y, Veillas C, Reynaud S, Lyndin N, Parriaux O, Laukkanen J and Kuittinen M 2012 Subwavelength cylindrical grating by holistic phase-mask coordinate transform Opt. Express 20 7946–53 [15] Parriaux O, Jourlin Y and Lyndin N 2010 Cylindrical Grating Rotation Sensor Patent Number US20100245841 A1 [16] Torcal-Milla F J, Sánchez-Brea L M and Bernabeu E 2007 Talbot effect with rough reflection gratings Appl. Opt. 46 3668–73 [17] Sánchez-Brea L M, Torcal-Milla F J and Bernabeu E 2007 Talbot effect in metallic gratings under Gaussian illumination Opt. Commun. 278 23–7 [18] García-Rodriguez L, Alonso J and Bernabeu E 2004 Grating pseudo-imaging with polychromatic and finite extension sources Opt. Express 12 2529–41 [19] Sánchez-Brea L M, Saez Landete J, Alonso J and Bernabeu E 2008 Invariant grating pseudoimaging using polychromatic light and a finite extension source Appl. Opt. 47 1470–7 [20] Beutler H G 1945 The theory of the concave grating J. Opt. Soc. Am. 35 311–49 [21] Haber H 1950 The torus grating J. Opt. Soc. Am. 40 153–65 [22] Prieto-Blanco X, Montero-Orille C, González-Núñez H, Mouriz M D, López-Lago E and de la Fuente R 2009 Imaging with classical spherical diffraction gratings: the quadrature configuration J. Opt. Soc. Am. A 26 2400–9 [23] Woodgate B E 1974 Cylindrical and spherical gratings J. Opt. Soc. Am. 64 654–61 [24] Torcal-Milla F J, Sánchez-Brea L M, Salgado-Remacha F J and Bernabeu E 2010 Self-imaging of curved gratings Opt. Commun. 283 3869–73 | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 72f8db7f-8a25-4d15-9162-486b0f884481 | |
relation.isAuthorOfPublication.latestForDiscovery | 72f8db7f-8a25-4d15-9162-486b0f884481 |
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