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Invariant grating pseudoimaging using polychromatic light and a finite extension source

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Publication Date
2008-04-01
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Saez Landete, José
Bernabeu Martínez, Eusebio
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The Optical Society Of America
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Abstract
The Talbot effect is a well studied phenomenon by which grating pseudoimages appear at certain periodic distances when monochromatic light is used. Recently, numerical simulations have shown a new phenomenon; when a polychromatic light beam is used in a double grating system, the intensity of the pseudoimages presents a transverse-profile that remains unaffected over a wide range of propagation distances. This effect can be used to increase the tolerances of gratings based optical devices, such as displacement measurement systems, interferometers, and spectrometers. The pseudoimages formation with a polychromatic and finite extension light source is analytically and experimentally demonstrated. Relatively simple analytical expressions for the intensity and the contrast allow us to predict when pseudoimages present a constant contrast and when they disappear. Furthermore, we experimentally obtain the pseudoimages using the proposed configuration, corroborating the theoretical predictions.
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© 2008 Optical Society of America. This work has been supported by the “Codificación óptica de la posición a escala nanométrica: Nuevas tecnologías y dispositivos ópticos” project (DPI2005-02860) of the Ministerio de Educación y Ciencia of Spain and the “Tecnologías en ecología, alta precisión y productividad, multifuncionalidad, y tecnologías de la información y comunicaciones en Máquina Herramienta” CENIT project of the Ministerio de Industria, Turismo y Comercio. During the realization of this work, L. M. Sanchez-Brea was contracted by the Universidad Complutense de Madrid under the “Ramón y Cajal” research program of the Ministerio de Educación y Ciencia of Spain.
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1. L. Liu, “Partially coherent diffraction effect between Lau and Talbot effects”, J. Opt. Soc. Am. A 5, 1709-1716 (1988). 2. K. V. Avudainayagam and S. Chitralekha, “Lau effect and beam collimation”, J. Mod. Opt. 44, 175-178 (1997). 3. M. Tebaldi, L. Angel Toro, and N. Bolognini, “Interferometry based on Lau effect with a grating registered in a photorefractive crystal”, Opt. Laser Technol. 31, 127-134 (1999). 4. D. Crespo, J. Alonso, T. Morlanes, and E. Bernabéu, “Optical encoder based on the Lau effect”, Opt. Eng. 39, 817-824(2000). 5. J. Jahns and A. W. Lohmann, “The Lau effect (a diffraction experiment with incoherent illumination)”, Opt. Commun. 28, 263-267 (1979). 6. K. Patorski, “The self-imaging phenomenon and its applications”, in Progress in Optics, Vol. 27, E. Wolf, ed. (North Holland, 1989), pp. 3-108. 7. S. C. Som and A. Satpathi, “The generalized Lau effect”, J. Mod. Opt. 37, 1215-1226 (1990). 8. G. J. Swanson and E. N. Leith, “Analysis of the Lau effect and generalized grating imaging”, J. Opt. Soc. Am. A 2, 789-793(1985). A. Olszak and L. Wronkowski, “Analysis of the Fresnel field of a double diffraction system in the case of two amplitude diffraction gratings under partially coherent illumination”, Opt. Eng. 36, 2149-2157 (1997). 9. J. Tu and L. Zhan, “Analysis of general double periodic structure diffraction phenomena based on the ambiguity function”, J. Opt. Soc. Am. A 9, 983-995 (1992). 10. D. Crespo, J. Alonso, and E. Bernabéu, “Experimental measurements of generalized grating images”, Appl. Opt. 41, 1223-1228 (2002). 11. S. Teng, L. Liu, J. Zu, Z. Luan, and D. Liu, “Uniform theory of the Talbot effect with partially coherent light illumination”, J. Opt. Soc. Am. A 20, 1747-1754 (2003). 12. D. Crespo, J. Alonso, and E. Bernabéu, “Generalized grating imaging using an extended monochromatic light source”, J. Opt. Soc. Am. A 17, 1231-1240 (2000). 13. L. García-Rodríguez, J. Alonso, and E. Bernabéu, “Grating pseudo-imaging with polychromatic and finite extension sources” Opt. Express 12, 2529-2541 (2004). 14. N. Guérineau, B. Harchaoui, and J. Primot, “Talbot experiment re-examined: demonstration of an achromatic and continuous self-imaging regime”, Opt. Commun. 180, 199-203(2000). 15. N. Guèrineau, E. di Mambro, J. Primot, and F. Alves, “Talbot experiment re-examined: study of the chromatic regime and application to spectrometry”, Opt. Express 11, 3310-3319(2003). 16. L. M. Sánchez-Brea, J. Alonso, and E. Bernabéu, “Continuous pseudoimages for sinusoidal grating imaging using an extended light source”, Opt. Commun. 236, 53-58 (2004). 17. L. M. Sánchez-Brea, J. Alonso, J. B. Saez-Landete, and E. Bernabéu, “Analytical model of a double grating system with partial temporal and spatial coherence”, in Nano- and Micro-Metrology, H. Ottevaere, P. De Wolf, and D. S. Wiersma, eds., Proc. SPIE 5858, 304-311 (2005).
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