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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 19, Iss. 7 — Jul. 1, 2002
  • pp: 1370–1375

Generalized beam-propagation factor of partially coherent beams propagating through hard-edged apertures

Bin Zhang, Xiaoliang Chu, and Qiang Li  »View Author Affiliations

JOSA A, Vol. 19, Issue 7, pp. 1370-1375 (2002)

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The second-order intensity moments and beam-propagation factor (M2 factor) of partially coherent beams have been generalized to include the case of hard-edged diffraction. A laser beam with amplitude modulation and phase fluctuation and a Gaussian Schell-model beam are taken as two typical examples of partially coherent beams. Analytical expressions for the generalized M2 factor are derived.

© 2002 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(050.1220) Diffraction and gratings : Apertures
(350.5500) Other areas of optics : Propagation

Original Manuscript: November 1, 2001
Revised Manuscript: January 28, 2002
Manuscript Accepted: January 28, 2002
Published: July 1, 2002

Bin Zhang, Xiaoliang Chu, and Qiang Li, "Generalized beam-propagation factor of partially coherent beams propagating through hard-edged apertures," J. Opt. Soc. Am. A 19, 1370-1375 (2002)

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  1. A. E. Siegman, “New developments in laser resonators,” in Optical Resonators, D. A. Holmes, ed., Proc. SPIE1224, 2–14 (1990). [CrossRef]
  2. A. E. Siegman, “How to (maybe) measure laser beam quality,” in DPSS Lasers: Applications and Issues, M. W. Dowley, ed., Vol. 17 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1998), pp. 184–199.
  3. F. Gori, M. Santarsiero, “The change of width for a partially coherent beam on paraxial propagation,” Opt. Commun. 82, 197–203 (1991). [CrossRef]
  4. M. Santarsiero, F. Gori, “Spreading properties of beams radiated by partially coherent Schell-model sources,” J. Opt. Soc. Am. A 16, 106–112 (1999). [CrossRef]
  5. R. Martı́nez-Herrero, P. M. Mejias, “Second-order spatial characterization of hard-edge diffracted beams,” Opt. Lett. 18, 1669–1671 (1993). [CrossRef] [PubMed]
  6. R. Martı́nez-Herrero, P. M. Mejias, M. Arias, “Parametric characterization of coherent, lowest-order Gaussian beams propagating through hard-edged apertures,” Opt. Lett. 20, 124–126 (1995). [CrossRef] [PubMed]
  7. J. Serna, R. Martı́nez-Herrero, P. M. Mejias, “Parametric characterization of general partially coherent beams propagating through ABCD optical systems,” J. Opt. Soc. Am. A 8, 1094–1098 (1991). [CrossRef]
  8. H. Weber, “Propagation of high-order intensity moments in quadratic-index media,” Opt. Quantum Electron. 24, 1027–1049 (1992). [CrossRef]
  9. T. Shirai, T. Asakura, “Spatial coherence of light generated from a partially coherent source and its control using a source filter,” Optik (Stuttgart) 94, 1–15 (1993).
  10. A. Erdelyi, W. Magnus, F. Oberhettinger, F. G. Tricomi, Table of Integral Transforms (McGraw-Hill, New York, 1954).
  11. K. R. Manes, W. W. Simmons, “Statistical optics applied to high-power glass lasers,” J. Opt. Soc. Am. A 2, 528–538 (1985). [CrossRef]
  12. A. Starikov, E. Wolf, “Coherent-mode representation of Gaussian Schell-model sources and their radiation fields,” J. Opt. Soc. Am. 72, 923–928 (1982). [CrossRef]

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