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  • Vol. 27, Iss. 19 — Oct. 1, 2002
  • pp: 1672–1674

Fractional Fourier transform for partially coherent Gaussian–Schell model beams

Qiang Lin and Yangjian Cai  »View Author Affiliations


Optics Letters, Vol. 27, Issue 19, pp. 1672-1674 (2002)
http://dx.doi.org/10.1364/OL.27.001672


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Abstract

The fractional Fourier transform (FRT) is applied to partially coherent twisted anisotropic Gaussian–Schell model (GSM) beams based directly on the cross-spectral density. An analytical and concise formula is derived for the cross-spectral density of partially coherent twisted anisotropic GSM beams passing through a FRT system in terms of the tensor method. The corresponding tensor ABCD law for performing a FRT is obtained. The connection between the FRT formula and the generalized Collins formula for partially coherent beams is discussed. The formulas derived provide a powerful tool for analyzing and calculating the FRTs of partially coherent beams.

© 2002 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.2590) Fourier optics and signal processing : ABCD transforms

Citation
Qiang Lin and Yangjian Cai, "Fractional Fourier transform for partially coherent Gaussian–Schell model beams," Opt. Lett. 27, 1672-1674 (2002)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-27-19-1672


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References

  1. V. Namias, J. Inst. Math. Appl. 25, 241 (1980).
  2. H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, New York, 2000).
  3. H. M. Ozaktas and D. Mendlovic, J. Opt. Soc. Am. A 10, 1875 (1993).
  4. A. W. Lohmann, J. Opt. Soc. Am. A 10, 2181 (1993).
  5. D. Mendlovic, Z. Zalevsky, R. G. Dorsch, Y. Bitran, A. W. Lohmann, and H. Ozaktas, J. Opt. Soc. Am. A 12, 2424 (1995).
  6. Y. Zhang, B. Dong, B. Gu, and G. Yang, J. Opt. Soc. Am. A 15, 1114 (1998).
  7. P. Pellat-Finet, Opt. Lett. 19, 1388 (1994).
  8. Z. Liu, X. Wu, and D. Fan, Opt. Commun. 155, 7 (1998).
  9. A. W. Lohmann, D. Mendlovic, and Z. Zalevsky, Opt. Lett. 21, 281 (1996).
  10. L. Yu, Y. Lu, X. Zeng, M. Huang, M. Chen, W. Huang, and Z. Zhu, Opt. Lett. 23, 1158 (1998).
  11. B. Zhu and S. Liu, Opt. Lett. 26, 578 (2001).
  12. M. F. Erden, H. M. Ozaktas, and D. Mendlovic, J. Opt. Soc. Am. A 13, 1068 (1996).
  13. M. F. Erden, H. M. Ozaktas, and D. Mendlovic, Opt. Commun. 125, 288 (1996).
  14. J. H. Tu and S. Tamura, J. Opt. Soc. Am. A 15, 202 (1998).
  15. Z. Zalevsky, Z. D. Medlovic, and H. M. Ozaktas, J. Opt. A 2, 83 (2000).
  16. R. Simon and N. Mukunda, J. Opt. Soc. Am. A 15, 2146 (1998).
  17. H. Yoshimura and T. Iwai, Pure Appl. Opt. 7, 1133 (1998).
  18. H. Yoshimura and T. Iwai, J. Opt. Soc. Am. A 14, 3388 (1997).
  19. Y. Kato, K. Mima, N. Miyanaga, S. Arinaga, Y. Kitagawa, M. Nakatsuka, and C. Yamanaka, Phys. Rev. Lett. 53, 1057 (1984).
  20. A. Belendez, L. Carretero, and A. Fimia, Opt. Commun. 98, 236 (1993).
  21. R. Simon, E. C. G. Sudarshan, and N. Mukunda, Phys. Rev. A 31, 2419 (1985).
  22. R. Simon and N. Mukunda, J. Opt. Soc. Am. A 17, 2440 (2000).
  23. Q. Lin and Y. Cai, Opt. Lett. 27, 216 (2002).
  24. Z. Jiang, Opt. Lett. 20, 2408 (1995).

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