Numerical calculation of fractional Fourier transforms with a single fast-Fourier-transform algorithm

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 15, Issue 8, 1998, Pages 2111-2116

  Marinho, Francisco J ^a   Bernardo, Luís M ^a  

^a UNIVERSITY OF PORTO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000578198     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.15.002111     Document Type: Article

References (8)

1. D. Mendlovic and H. M. Ozaktas, “Fractional Fourier transforms and their optical implementation. II, ” J. Opt. Soc. Am. A 10, 2522–2531 (1993).
2. Adolf Lohmann, “Image rotation, Wigner rotation, and the fractional Fourier transform, ” J. Opt. Soc. Am. A 10, 2181–2186 (1993).
3. Y. Bitran, D. Mendlovic, R. Dorsch, A. Lohmann, and H. Ozaktas, “Fractional Fourier transform: simulations and experimental results, ” Appl. Opt. 34, 1329–1332 (1995).
4. J. Garcia, D. Mas, and R. Dorsch, “Fractional-Fouriertransform calculation through the fast-Fourier-transform algorithm, ” Appl. Opt. 35, 7013–7018 (1996).
5. J. W. Cooley and J. W. Tukey, “An algorithm for the machine calculation of complex Fourier series, ” Math. Comput. 19, 297–301 (1965).
6. D. Mendlovic, H. M. Ozaktas, and A. Lohmann, “Fractional correlation, ” Appl. Opt. 34, 303–309 (1995).
7. E. O. Brigham, The Fast Fourier Transform and Its Applications (Prentice-Hall, Englewood Cliffs, N.J., 1988).
8. J. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996), pp. 16–19.