Fractional Fourier transform optical system with programmable diffractive lenses

Applied Optics

Volumn 42, Issue 32, 2003, Pages 6544-6548

  Moreno, Ignacio ^a   Davis, Jeffrey A ^b   Crabtree, Karlton ^b  

^a MIGUEL HERNÁNDEZ UNIVERSITY   (Spain)

^b SAN DIEGO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER TRANSFORMS; LIGHT MODULATORS; LIQUID CRYSTALS; OPTICAL INSTRUMENT LENSES; OPTICAL SYSTEMS;

FRACTIONAL FOURIER TRANSFORMS (FRFT); HARMONIC LENSES;

DIFFRACTIVE OPTICS;

EID: 0345446574     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.42.006544     Document Type: Article

References (22)

1. D. Mendlovic and H. M. Ozatkas, “Fractional Fourier transforms and their optical implementation: I,” J. Opt. Soc. Am. A 10, 1875-1881 (1993).
2. H. M. Ozatkas and D. Mendlovic, “Fractional Fourier transforms and their optical implementation: II,” J. Opt. Soc. Am. A 10, 2522-2531 (1993).
3. A. W. Lohmann, “Image rotation, Wigner distribution, and the fractional Fourier transform,” J. Opt. Soc. Am. A 10, 2181-2186 (1993).
4. B. Lu, F. Kong, and B. Zhang, “Optical systems expressed in terms of fractional Fourier transforms,” Opt. Commun. 137, 13-16 (1997).
5. L. M. Bernardo, “ABCD matrix formalism of fractional Fourier optics,” Opt. Eng. 35, 732-740 (1996).
6. J. García, D. Mas, and R. G. Dorsch, “Fractional-Fourier-transform calculation through the fast-Fourier-transform algorithm,” Appl. Opt. 35, 7013-7018 (1996).
7. Y. Bitran, D. Mendlovic, R. G. Dorsch, A. W. Lohmann, and H. M. Ozaktas, “Fractional Fourier transform: simulations and experimental results,” Appl. Opt. 34, 1329-1332 (1995).
8. D. Mendlovic, Y. Britan, R. G. Dorsch, and A. W. Lohmann, “Optical fractional correlation: experimental results,” J. Opt. Soc. Am. A 12, 1665-1670 (1995).
9. D. Mendlovic, Y. Bitran, R. G. Dorsch, C. Ferreira, J. García, and H. M. Ozaktas, “Anamorphic fractional Fourier transform: optical implementation and applications,” Appl. Opt. 34, 7451-7456 (1995).
10. A. W. Lohmann, “A fake zoom lens for fractional Fourier experiments,” Opt. Commun. 119, 275-279 (1995).
11. R. G. Dorsch, “Fractional Fourier transformer of variable order based on a modular lens system,” Appl. Opt. 34, 6016-6020 (1995).
12. S. Liu, J. Xu, Y. Zhang, L. Chen, and C. Li, “General optical implementations of fractional Fourier transforms,” Opt. Lett. 20, 1053-1055 (1995).
13. J. García, R. G. Dorsch, A. W. Lohmann, C. Ferreira, and Z. Zalevsky, “Flexible optical implementation of fractional Fourier transform processors. Applications to correlation and filtering,” Opt. Commun. 103, 393-400 (1997).
14. P. Andrés, W. D. Furlan, G. Saavedra, and A. W. Lohmann, “Variable fractional Fourier processor: a simple implementation,” J. Opt. Soc. Am. A 14, 853-858 (1997).
15. E. Tajahuerce, G. Saavedra, W. D. Furlan, E. E. Sicre, and P. Andres, “White-light optical implementation of the fractional Fourier transform with adjustable order control,” Appl. Opt. 39, 238-245 (2000).
16. J. A. Davis, D. M. Cottrell, R. A. Lilly, and S. W. Connely, “Multiplexed phase-encoded lenses written on spatial light modulators,” Opt. Lett. 14, 420-422 (1989).
17. A. F. Naumov, M. Y. Loktev, I. R. Guralnik, and G. Vdovin, “Liquid crystal adaptive lenses with modal control,” Opt. Lett. 23, 992-995 (1998).
18. 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).
19. I. Moreno, J. Campos, C. Gorecki, and M. J. Yzuel, “Effects of amplitude and phase mismatching errors in the generation of a kinoform for pattern recognition,” Jpn. J. Appl. Phys. Part 1 34, 6423-6432 (1995).
20. E. Carcole, M. S. Millan, and J. Campos, “Derivation of weighting coefficients for multiplexed phase-diffractive elements,” Opt. Lett. 20, 2360-2362 (1995).
21. D. Mendlovic, H. M. Ozatkas, and A. W. Lohmann, “Self-Fourier functions and fractional Fourier transforms,” Opt. Commun. 105, 36-38 (1994).
22. J. A. Davis, D. M. Cottrell, N. Nestorovic, and S. M. Highnote, “Space variant Fresnel transform optical correlator,” Appl. Opt. 31, 6889-6893 (1992).