RT Journal Article T1 Fourier series analysis of fractal lenses: theory and experiments with a liquid-crystal display A1 Davis, Jeffrey A. A1 Sigarlaki, Sean Paul A1 Craven, Julia M. A1 Calvo Padilla, María Luisa AB We report on a Fourier series approach that predicts the focal points and intensities produced by fractal zone plate lenses. This approach allows us to separate the effects of the fractal order from those of the lens aperture. We implement these fractal lenses onto a liquid-crystal display and show experimental verification of our theory. PB The Optical Society Of America SN 1559-128X YR 2006 FD 2006-02-20 LK https://hdl.handle.net/20.500.14352/51046 UL https://hdl.handle.net/20.500.14352/51046 LA eng NO 1. G. Saavedra, W. D. Furlan, and J. A. Monsoriu, "Fractal zone plates," Opt. Lett. 28, 971-973 (2003). 2. J. A. Davis, L. Ramirez, J. A. R. Martin-Romo, T. Alieva, and M. L. Calvo, "Focusing properties of fractal zone plates: experimental implementation with a liquid-crystal display," Opt. Lett. 29, 1321-1323 (2004). 3. L. Zunino and M. Garavaglia, "Frauhofer diffraction by Cantor fractals with variable lacunarity," J. Mod. Opt. 50, 717-728 (2003). 4. J. A. Monsoriu, G. Saavedra, and W. D. Furlan, "Fractal zone plates with variable lacunarity," Opt. Express 12, 4227-4234 (2004). 5. D. L. Jaggard and A. D. Jaggard, "Polyadic Cantor superlattices with variable lacunarity," Opt. Lett. 22, 145-147 (1997). 6. A. D. Jaggard and D. L. Jaggard, "Scattering from fractal superlattices with variable lacunarity," J. Opt. Soc. Am. A 15, 1626-1635 (1998). 7. J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, "Transmission variations in liquid crystal spatial light modulators caused by interference and diffraction effects," Opt. Eng. 38, 1051-1057 (1999). NO © 2006 Optical Society of America. DS Docta Complutense RD 8 dic 2023