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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 42, Iss. 20 — Jul. 10, 2003
  • pp: 4147–4151

Correlation-based phase space beam characterization

Daniela Dragoman  »View Author Affiliations


Applied Optics, Vol. 42, Issue 20, pp. 4147-4151 (2003)
http://dx.doi.org/10.1364/AO.42.004147


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Abstract

A generalized correlation-based definition for moments of arbitrary order is introduced that can also accommodate mixed spatial and angular moments. Moreover, a transformation law for these moments for propagation through linear optical systems is derived. This law has the same form as the corresponding propagation law of the moments defined in terms of the Wigner distribution function. The correlation-based moments can be used to fully characterize beams of arbitrary states of coherence.

© 2003 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(030.1640) Coherence and statistical optics : Coherence
(260.0260) Physical optics : Physical optics
(260.2110) Physical optics : Electromagnetic optics

History
Original Manuscript: January 21, 2003
Revised Manuscript: April 29, 2003
Published: July 10, 2003

Citation
Daniela Dragoman, "Correlation-based phase space beam characterization," Appl. Opt. 42, 4147-4151 (2003)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-42-20-4147


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References

  1. D. Dragoman, “The Wigner distribution function in optics and optoelectronics,” Prog. Opt. 37, 1–56 (1997). [CrossRef]
  2. E. Wigner, “On the quantum correction for thermodynamic equilibrium,” Phys. Rev. 40, 749–759 (1932). [CrossRef]
  3. M. J. Bastiaans, “Applications of the Wigner distribution function to partially coherent light,” J. Opt. Soc. Am. A 3, 1227–1237 (1986). [CrossRef]
  4. M. J. Bastiaans, “The Wigner distribution function and Hamilton’s characteristics of a geometrical-optical system,” Opt. Commun. 30, 321–326 (1979). [CrossRef]
  5. D. Dragoman, “Higher-order moments of the Wigner distribution function in first-order optical systems,” J. Opt. Soc. Am. A 11, 2643–2646 (1994). [CrossRef]
  6. S. A. Ponomarenko, E. Wolf, “Effective spatial and angular correlations in beams of any state of spatial coherence and an associated phase-space product,” Opt. Lett. 26, 122–124 (2001). [CrossRef]
  7. R. Martinez-Herrero, P. M. Mejias, M. Sanchez, J. L. H. Neira, “Third- and fourth-order parametric characterization of partially coherent beams propagating through ABCD optical systems,” Opt. Quantum Electron. 24, 1021–1026 (1992). [CrossRef]
  8. H. M. Pedersen, J. J. Stamnes, “Radiometric theory of spatial coherence in free-space propagation,” J. Opt. Soc. Am. A 17, 1413–1420 (2000). [CrossRef]
  9. T. Jannson, T. Aye, I. Tengara, D. A. Erwin, “Second-order radiometric ray tracing,” J. Opt. Soc. Am. A 13, 1448–1455 (1996). [CrossRef]
  10. M. R. Teague, “Image analysis via the general theory of moments,” J. Opt. Soc. Am. 70, 920–930 (1980). [CrossRef]
  11. A. W. Lohmann, D. Mendlovic, Z. Zalevsky, “Fractional transformations in optics,” Prog. Opt. 38, 263–342 (1998). [CrossRef]
  12. M. J. Bastiaans, T. Alieva, “Wigner distribution moments measured as fractional Fourier transform intensity moments,” Proc. SPIE 4829, 245–246 (2002).
  13. C. J. R. Sheppard, K. G. Larkin, “Focal shift, optical transfer function, and phase-space representations,” J. Opt. Soc. Am. A 17, 772–779 (2000). [CrossRef]

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