RT Journal Article T1 Self-imaging technique for beam collimation A1 Sánchez Brea, Luis Miguel A1 Torcal Milla, Francisco José A1 Herrera Fernández, José María A1 Morlanes, Tomás A1 Bernabeu Martínez, Eusebio AB A simple collimation technique based on measuring the period of one self-image produced by a diffraction grating is proposed. Transversal displacement of the grating is not required, and then automatic single-frame processing can be performed. The self-image is acquired with a CMOS camera, and the period is computed using the variogram function. Analytical and experimental results are obtained, which show the simplicity and accuracy of the proposed technique. PB Optical Society of America SN 0146-9592 YR 2014 FD 2014 LK https://hdl.handle.net/20.500.14352/35040 UL https://hdl.handle.net/20.500.14352/35040 LA eng NO 1. M. V. R. K. Murthy, Appl. Opt. 3, 531 (1964). 2. D. Malacara, Optical Shop Testing (Wiley, 1978), Chap. 4. 3. A. R. Ganesan and P. Venkateswarlu, Appl. Opt. 32, 2918 (1993). 4. D. E. Silva, Appl. Opt. 10, 1980 (1971). 5. D. Joyeux and Y. Cohen-Sabban, Appl. Opt. 21, 625 (1982). 6. J. Choi, G. Perera, M. Aggarwal, R. Shukla, and M. Mantravadi, Appl. Opt. 34, 3628 (1995). 7. J. S. Darlin, M. P. Kothiyal, and R. S. Sirohi, J. Mod. Opt. 45, 2371 (1998). 8. P. Senthilkumaran, Appl. Opt. 42, 6314 (2003). 9. S. Yokozeki, K. Patorski, and K. Ohnishi, Opt. Commun. 14, 401 (1975). 10. S. Haramaki, S. Yokozeki, A. Hayashi, and H. Suzuki, Proc. SPIE 4416, 388 (2001). 11. L. M. Sanchez-Brea, F. J. Torcal-Milla, F. J. SalgadoRemacha, T. Morlanes, I. Jimenez-Castillo, and E. Bernabeu, Appl. Opt. 49, 3363 (2010). 12. K. Patorski, K. Pokorski, and M. Trusiak, Opt. Lett. 39, 291 (2014). 13. N. Guerineau, B. Harchaoui, and J. Primot, Opt. Commun. 180, 199 (2000). 14. N. Cressie, Statistics for Spatial Data, revised ed. (Wiley, 1993), Vol. 928. 15. L. M. Sanchez-Brea, F. J. Torcal-Milla, and E. Bernabeu, Appl. Opt. 46, 5027 (2007). 16. L. M. Sanchez-Brea and E. Bernabeu, Appl. Opt. 44, 3276 (2005). 17. http://docs.scipy.org/doc/scipy/reference/generated/scipy .optimize.minimize_scalar.html. 18. J. Dhanotia and S. Prakash, Appl. Opt. 50, 1446 (2011). 19. R. Disawal, J. Dhanotia, and S. Prakash, Prec. Eng. 38, 948 (2014). 20. W. Y. Chang, K. Y. Hsu, K. H. Chen, and J. H. Chen, Opt. Lasers Eng. 62, 126 (2014). NO © 2014 Optical Society of America. The authors thank to Jose Luis Vilas for his valuable comments. This work has been supported by the Ministry of Science and Innovation of Spain (project DPI2011-27851) and project Art. 83 LOU "Estudio de tecnologia para la realizacion de codificadores opticos de 2 mu m de periodo" with Fagor Automation S. Coop. NO Ministerio de Ciencia e Innovación (MICINN), España NO Fagor Automation S. Coop DS Docta Complutense RD 4 may 2024