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Optics Letters

Optics Letters


  • Vol. 29, Iss. 23 — Dec. 1, 2004
  • pp: 2710–2712

Propagation of the Wigner distribution function for partially coherent nonparaxial beams

Yucheng Zhang and Baida Lü  »View Author Affiliations

Optics Letters, Vol. 29, Issue 23, pp. 2710-2712 (2004)

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On the basis of the Rayleigh–Sommerfeld diffraction integral, a closed-form propagation expression for the Wigner distribution function of partially coherent nonparaxial beams in free space is derived for what is to our knowledge the first time. The propagation of spatially fully coherent nonparaxial beams is treated as a special case of our general result. Application of the result is illustrated with the nonparaxial propagation of partially coherent anisotropic Gaussian–Schell-model beams and TEM>11-mode Hermite–Gaussian beams.

© 2004 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(050.1940) Diffraction and gratings : Diffraction
(350.6980) Other areas of optics : Transforms

Yucheng Zhang and Baida Lü, "Propagation of the Wigner distribution function for partially coherent nonparaxial beams," Opt. Lett. 29, 2710-2712 (2004)

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  1. M. J. Bastiaans, J. Opt. Soc. Am. A 3, 1227 (1986).
  2. M. J. Bastiaans, Optik 82, 173 (1989).
  3. K. B. Wolf, M. A. Alonso, and G. W. Forbes, J. Opt. Soc. Am. A 16, 2476 (1999).
  4. C. J. R. Sheppard and K. G. Larkin, J. Opt. Soc. Am. A 18, 2486 (2001).
  5. C. J. R. Sheppard and K. G. Larkin, Opt. Lett. 26, 968 (2001).
  6. K. Duan and B. Lü, Opt. Lett. 29, 800 (2004).
  7. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  8. Y. Li and E. Wolf, Opt. Lett. 6, 256 (1982).

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