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Optics Letters

Optics Letters


  • Vol. 29, Iss. 5 — Mar. 1, 2004
  • pp: 427–429

Wavelength-controlled variable-order optical fractional Fourier transform

Bryan Hennelly, Damian Kelly, and John T. Sheridan  »View Author Affiliations

Optics Letters, Vol. 29, Issue 5, pp. 427-429 (2004)

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The relationship between optical fractional Fourier transforms (OFRTs) obtained at different wavelengths is derived by use of the ABCD matrix formalism. It is shown that varying the wavelength while retaining the same optical system can be used to control the order of the OFRT. The advantage of this method of varying OFRT order is that no variation in the characteristics of the bulk optics is required. A general experimental verification of the theory is provided by showing the exact equivalence of two OFRT systems of different order when they are replayed using the same input function at different wavelengths.

© 2004 Optical Society of America

OCIS Codes
(070.1170) Fourier optics and signal processing : Analog optical signal processing
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.2590) Fourier optics and signal processing : ABCD transforms
(070.6020) Fourier optics and signal processing : Continuous optical signal processing

Bryan Hennelly, Damian Kelly, and John T. Sheridan, "Wavelength-controlled variable-order optical fractional Fourier transform," Opt. Lett. 29, 427-429 (2004)

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  1. D. Mendlovic and H. M. Ozaktas, J. Opt. Soc. Am. A 10, 1875 (1993).
  2. H. M. Ozaktas and D. Mendlovic, J. Opt. Soc. Am. A 10, 2522 (1993).
  3. A. W. Lohmann, J. Opt. Soc. Am. 10, 2181 (1993).
  4. M. F. Erden, H. M. Ozaktas, A. Sahin, and D. Mendlovic, Opt. Commun. 136, 52 (1997).
  5. S. A. Collins, Jr., J. Opt. Soc. Am. 60, 1168 (1970).
  6. A. Gerrad and J. M. Buch, Introduction to Matrix Optics (Wiley, New York, 1975).
  7. S. Abe and J. T. Sheridan, Opt. Lett. 19, 1801 (1994).
  8. H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, New York, 2001).
  9. L. M. Bernardo, Opt. Eng. 35, 732 (1996).
  10. L. Z. Cai and Y. Q. Wang, Opt. Laser Technol. 34, 249 (2002).
  11. A. Sahin, H. M. Ozaktas, and D. Mendlovic, Appl. Opt. 37, 2130 (1998).
  12. A. W. Lohmann, Opt. Commun. 115, 437 (1995).
  13. A. W. Lohmann, Z. Zalevsky, R. G. Dorsch, and D. Mendlovic, Opt. Commun. 146, 55 (1998).
  14. J. T. Sheridan and R. Patten, Opt. Lett. 25, 448 (2000).
  15. J. T. Sheridan, B. Hennelly, and D. Kelly, Opt. Lett. 28, 884 (2003).
  16. W.-X. Cong, N.-X. Chen, and B.-Y. Gu, Appl. Opt. 37, 6906 (1998).

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