Observing the fractional fourier transform by free- space fresnel diffraction

Applied Optics

Volumn 36, Issue 2, 1997, Pages 512-513

  Hua, Jianwen ^a   Liu, Liren ^a   Li, Guoqiang ^a  

^a SHANGHAI INSTITUTE OF OPTICS AND FINE MECHANICS   (China)

Author keywords

Optical Fourier transform

Indexed keywords

EID: 0000384990     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.36.000512     Document Type: Article

References (10)

1. C. McBride and F. H. Kerr, “On Namia’s fractional Fourier transforms,” IMA J. Appl. Math. 39, 159-175 (1987).
2. A. W. Lohmann, “Image rotation, Wigner rotation, and the fractional Fourier transform,” J. Opt. Soc. Am. A 10, 2181-2186 (1993).
3. D. Mendlovic, H. M. Ozaktas, and A. W. Lohmann, “Graded-index fibers, Wigner-distribution functions, and the fractional Fourier transform,” Appl. Opt. 33, 6188-6193 (1994).
4. H. M. Ozaktas and D. Mendlovic, “Fractional Fourier transforms and their optical implementation: II,” J. Opt. Soc. Am. A 10, 2522-2531 (1993).
5. H. M. Ozktas, B. Barshan, D. Mendlovic, and L. Onural, “Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms,” J. Opt. Soc. Am. A 11, 547-559 (1994).
6. A. W. Lohmann and D. Mendlovic, “Fractional Fourier transform: photonic implementation,” Appl. Opt. 33, 7661-7664 (1994).
7. G. Dorsch, A. W. Lohmann, Y. Bitran, D. Mendlovic, and H. M. Ozaktas, “Chirp filtering in the fractional Fourier domain,” Appl. Opt. 33, 7599-7602 (1994).
8. L. M. Bernardo and O. D. D. Soares, “Fractional Fourier transforms and imaging,” J. Opt. Soc. Am. A 11, 2622-2626 (1994).
9. H. M. Ozaktas, B. Barshan, D. Mendlovic, and H. Urey, “Space-variant filtering in fractional Fourier domains,” Inst. Phys. Conf. Ser. 139, 285-288 (1994).
10. G. Dorsch and A. W. Lohmann, “Fractional Fourier transform used for a lens-design problem,” Appl. Opt. 34, 4111-4112 (1995).