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Focusing properties of fractal zone plates: experimental implementation with a liquid-crystal display

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Publication Date
2004-06-15
Authors
Davis, Jeffrey A.
Ramirez, Laura
Rodrigo Martín-Romo, José Augusto
Alieva, Tatiana Krasheninnikova
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Alan E. Willner, University of Southern California
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Abstract
We report the first experimental results, to our knowledge, with fractal zone plates implemented in a liquid-crystal display. Our results largely agree with theory for the axial irradiance distribution of these lenses. The dependence of the shape and size of the focus points on critical design parameters is discussed. Additional unpredicted features are also described.
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© 2004 Optical Society of America. This research was partially supported by project TIC2002-1846, Ministerio de Ciencia y Tecnologia, Spain.
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1. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, Calif., 1982). 2. J. Uozumi and T. Asakura, in Current Trends in Optics, J. C. Dainty, ed. (Academic, Cambridge, 1994), pp. 83–94. 3. D. Rodríguez Merlo, J. A. Rodrigo Martín-Romo, T. Alieva, and M. L. Calvo, Opt. Spectrosc. 95, 131 (2003). 4. G. Saavedra, W. D. Furlan, and J. A. Monsoriu, Opt. Lett. 28, 971 (2003). 5. A. Boivin, J. Opt. Soc. Am. 42, 60 (1952). 6. J. A. Davis, I. Moreno, and P. Tsai, Appl. Opt. 37, 937 (1998). 7. I. Moreno and J. A. Davis, Opt. Eng. 37, 3048 (1998). 8. J. A. Davis, K. O. Valadez, and D. M. Cottrell, Appl. Opt. 42, 2003 (2003).
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