Publication: Near field diffraction of cylindrical convex gratings
Loading...
Official URL
Full text at PDC
Publication Date
2015
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
IOP Publishing
Citations
Exportar
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.
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.
UCM subjects
Unesco subjects
Keywords
Citation
[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