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  • Vol. 28, Iss. 8 — Apr. 15, 2003
  • pp: 610–612

Directionality of Gaussian Schell-model beams propagating in atmospheric turbulence

Tomohiro Shirai, Aristide Dogariu, and Emil Wolf  »View Author Affiliations


Optics Letters, Vol. 28, Issue 8, pp. 610-612 (2003)
http://dx.doi.org/10.1364/OL.28.000610


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Abstract

It is known that some partially coherent Gaussian Schell-model beams may generate, in free space, the same angular distribution of radiant intensity as a fully coherent laser beam. We show that this result also holds even if the beams propagate in atmospheric turbulence, irrespective of the particular model of turbulence used. The result is illustrated by an example.

© 2003 Optical Society of America

OCIS Codes
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(030.0030) Coherence and statistical optics : Coherence and statistical optics

Citation
Tomohiro Shirai, Aristide Dogariu, and Emil Wolf, "Directionality of Gaussian Schell-model beams propagating in atmospheric turbulence," Opt. Lett. 28, 610-612 (2003)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-28-8-610


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References

  1. L. C. Andrews and R. L. Phillips, Laser Beam Propagation Through Random Media (SPIE Press, Bellingham, Wash., 1998).
  2. E. Wolf and E. Collett, Opt. Commun. 25, 293 (1978).
  3. See, for example, P. De Santis, F. Gori, G. Guattari, and C. Palma, Opt. Commun. 29, 256 (1979).
  4. G. Gbur and E. Wolf, J. Opt. Soc. Am. A 19, 1592 (2002).
  5. S. A. Ponomarenko, J.-J. Greffett, and E. Wolf, Opt. Commun. 208, 1 (2002).
  6. A. Dogariu and S. Amarande, Opt. Lett. 28, 10 (2003).
  7. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, 1995).
  8. Sec. 12.2 of Ref. c1.
  9. R. L. Fante, in Progress in Optics XXII, E. Wolf, ed. (Elsevier, Amsterdam, 1985), Chap. VI.
  10. Secs. 12.2.3 and 6.4.2 of Ref. c1.
  11. To evaluate Eq. 11, we first change the variables of integration by setting u=(r0+r 0)/2 and v=r0-r0. Then, we use the relations x2exp (-i2pxs)dx=-(2p)-2d′′(s) and f(x)d′′(x)dx=f′′(0), where d′′ is the second derivative of the Dirac delta function, f is an arbitrary function, and f′′ is its second derivative.
  12. See Eqs. (29) and (30) of Ref. c4, corrected for any error. In formula (29) of Ref. c4 the multiplicative factor 2π2/3 should be replaced with 4π2/3; i.e., the formula should read F2=(4π2/3) ∫0k3Φn(k)dk.

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