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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 17 — Aug. 21, 2006
  • pp: 7567–7578

Simulating fields of arbitrary spatial and temporal coherence

Greg Gbur  »View Author Affiliations

Optics Express, Vol. 14, Issue 17, pp. 7567-7578 (2006)

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Optical coherence theory typically deals with the average properties of randomly fluctuating fields. However, in some circumstances the averaging process can mask important physical aspects of the field propagation. We derive a new method of simulating partially coherent fields of nearly arbitrary spatial and temporal coherence. These simulations produce the expected coherence properties when averaged over sufficently long time intervals. Examples of numerous fields are given, and an analytic formula for the intensity fluctuations of the field is given. The method is applied to the propagation of partially coherent fields through random phase screens.

© 2006 Optical Society of America

OCIS Codes
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(030.1640) Coherence and statistical optics : Coherence

ToC Category:
Coherence and Statistical Optics

Original Manuscript: June 20, 2006
Revised Manuscript: July 21, 2006
Manuscript Accepted: July 25, 2006
Published: August 21, 2006

Gregory J. Gbur, "Simulating fields of arbitrary spatial and temporal coherence," Opt. Express 14, 7567-7578 (2006)

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  1. E Verdet, Lecons d’Optique Physique, (L’Imprimierie Imperiale, Paris, 1869), vol. 1.
  2. M. Born and E. Wolf, Principles of Optics (Cambridge University Press, Cambridge, 1999, 7th (expanded) edition).
  3. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995).
  4. J. Wu, "Propagation of a Gaussian-Schell beam through turbulent media," J. Mod. Opt. 37, 671-684 (1990). [CrossRef]
  5. G. Gbur and E. Wolf, "Spreading of partially coherent beams in random media," J. Opt. Soc. Am. A 19, 1592-1598 (2002). [CrossRef]
  6. J. Wu and A. D. Boardman, "Coherence length of a Gaussian Schell-model beam and atmospheric turbulence," J. Mod. Opt. 38, 1355-1363 (1991). [CrossRef]
  7. J. C. Ricklin and F. M. Davidson, "Atmospheric turbulence effects on a partially coherent Gaussian Beam: implications for free-space laser communication," J. Opt. Soc. Am. A 19, 1794-1802 (2002). [CrossRef]
  8. O. Korotkova, L. C. Andrews, R. L. Phillips, "A Model for a Partially Coherent Gaussian Beam in Atmospheric Turbulence with Application in Lasercom," Opt. Eng. 43, 330-341 (2004). [CrossRef]
  9. L.C. Andrews and R.L. Phillips, Laser Beam Propagation through Random Media (SPIE Press, Bellingham, Washington, 1998).
  10. M.S. Soskin and M.V. Vasnetsov, Singular Optics, in Progress in Optics, ed. E.Wolf (Elsevier, Amsterdam, 2001), vol. 42, p. 219-276.
  11. G. Gbur, T.D. Visser and E. Wolf, "’Hidden’ singularities in partially coherent wavefields", J. Opt. A 6, S239-S242 (2004). [CrossRef]
  12. G. Gbur and T.D. Visser, "Phase singularities and coherence vortices in linear optical systems," Opt. Commun. 259, 428-435 (2006). [CrossRef]
  13. W. Wang and E. Wolf, "Invariance properties of random pulses and of other random fields in dispersive media," Phys. Rev. E 52, 5532-5539 (1995). [CrossRef]
  14. S.O. Rice, Mathematical analysis of random noise, in Selected Papers on Noise and Stochastic Processes, ed. N. Wax (Dover, NY, 1954).
  15. L.C. Andrew and R.L. Phillips, Laser Beam Scintillation with Applications (SPIE Press, Bellingham, Washington, 2001). [CrossRef]
  16. R. Loudon, The Quantum Theory of Light (Oxford University Press, Oxford, 1983, 2nd edition).
  17. F.T. Arecchi, E. Gatti and A. Sona, "Time distribution of photons from coherent and Gaussian sources," Phys. Lett. 20, 27-29 (1966). [CrossRef]
  18. D.L. Knepp, "Multiple phase-screen calculation of the temporal behavior of stochastic waves," Proc. IEEE 71, 722-737 (1983). [CrossRef]

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