OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 1 — Jan. 1, 1999
  • pp: 106–112

Spreading properties of beams radiated by partially coherent Schell-model sources

M. Santarsiero, F. Gori, R. Borghi, G. Cincotti, and P. Vahimaa  »View Author Affiliations


JOSA A, Vol. 16, Issue 1, pp. 106-112 (1999)
http://dx.doi.org/10.1364/JOSAA.16.000106


View Full Text Article

Enhanced HTML    Acrobat PDF (244 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We derive a general law for the M2 factor of any beam generated by a partially coherent Schell-model source. The fourth power of M differs from its minimum value, attained in the coherent limit, by a term proportional to the second derivative of the modulus of the spectral degree of coherence evaluated for zero argument. Examples are given for cases of practical interest.

© 1999 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.5620) Coherence and statistical optics : Radiative transfer

History
Original Manuscript: April 13, 1998
Revised Manuscript: September 21, 1998
Manuscript Accepted: July 7, 1998
Published: January 1, 1999

Citation
M. Santarsiero, F. Gori, R. Borghi, G. Cincotti, and P. Vahimaa, "Spreading properties of beams radiated by partially coherent Schell-model sources," J. Opt. Soc. Am. A 16, 106-112 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-1-106


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. P. M. Mejı́as, H. Weber, R. Martı́nez-Herrero, A. González-Ureña, eds., Proceedings of the Workshop on Laser Beam Characterization (Sociedad Española de Optica, Madrid, 1993); H. Weber, N. Reng, J. Lüdtke, P. M. Mejı́as, eds., Laser Beam Characterization (Festkörper-Laser-Institute GmbH, Berlin, 1994); M. Morin, A. Giesen, eds., Third International Workshop on Laser Beam and Optics Characterization, Proc. SPIE2870, (1996); A. Giesen, M. Morin, eds., Proceedings of the Fourth International Workshop on Laser Beam and Optics Characterization (Institut für Strahlwerkzeuge, Munich, 1997).
  2. A. Siegman, “New developments in laser resonators,” in Optical Resonators, D. A. Holmes, ed., Proc. SPIE1224, 2–14 (1990). [CrossRef]
  3. P. A. Bélanger, “Beam propagation and the ABCD ray matrices,” Opt. Lett. 16, 196–198 (1991). [CrossRef] [PubMed]
  4. A. Siegman, “Defining the effective radius of curvature of a nonideal optical beam,” IEEE J. Quantum Electron. 27, 1146–1148 (1991). [CrossRef]
  5. E. Wolf, “Coherence and radiometry,” J. Opt. Soc. Am. 68, 7–17 (1978). [CrossRef]
  6. E. Collett, E. Wolf, “Is complete coherence necessary for the generation of highly directional light beams?” Opt. Lett. 2, 27–29 (1978). [CrossRef]
  7. R. Martı́nez-Herrero, P. M. Mejı́as, “Relation among planar sources that generate the same radiant intensity at the output of a general optical system,” J. Opt. Soc. Am. 72, 765–769 (1982). [CrossRef]
  8. R. Simon, N. Mukunda, E. C. G. Sudarshan, “Partially coherent beams and a generalized ABCD law,” Opt. Commun. 65, 322–328 (1988). [CrossRef]
  9. F. Gori, M. Santarsiero, A. Sona, “The change of width for partially coherent beam on paraxial propagation,” Opt. Commun. 82, 197–203 (1991). [CrossRef]
  10. A. T. Friberg, R. J. Sudol, “Propagation parameters of Gaussian Schell-model beams,” Opt. Commun. 41, 383–387 (1982). [CrossRef]
  11. R. Gase, “The multimode laser radiation as a Gaussian Schell model beam,” J. Mod. Opt. 38, 1107–1115 (1991). [CrossRef]
  12. R. Simon, N. Mukunda, “Twisted Gaussian Schell-model beams,” J. Opt. Soc. Am. A 10, 95–109 (1993). [CrossRef]
  13. A. T. Friberg, E. Tervonen, J. Turunen, “Interpretation and experimental demonstration of twisted Gaussian Schell-model beams,” J. Opt. Soc. Am. A 11, 1818–1826 (1994). [CrossRef]
  14. D. Ambrosini, V. Bagini, F. Gori, M. Santarsiero, “Twisted Gaussian Schell-model beams: a superposition model,” J. Mod. Opt. 41, 1391–1399 (1994). [CrossRef]
  15. F. Gori, M. Santarsiero, R. Borghi, S. Vicalvi, “Partially coherent sources with helicoidal modes,” J. Mod. Opt. 35, 539–554 (1998). [CrossRef]
  16. R. Borghi, M. Santarsiero, “Modal decomposition of partially coherent flat-top beams produced by multimode lasers,” Opt. Lett. 23, 313–315 (1998). [CrossRef]
  17. L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, UK, 1995).
  18. F. Gori, G. Guattari, C. Padovani, “Modal expansion for J0-correlated Schell-model sources,” Opt. Commun. 64, 311–316 (1987). [CrossRef]
  19. M. J. Bastiaans, “Application of the Wigner distribution function to partially coherent light,” J. Opt. Soc. Am. A 3, 1227–1238 (1986). [CrossRef]
  20. J. Serna, R. Martı́nez-Herrero, P. M. Mejı́as, “Parametric characterization of a general partially coherent beam propagating through ABCD optical systems,” J. Opt. Soc. Am. A 8, 1094–1098 (1991). [CrossRef]
  21. B. Eppich, “Die Charakterisierung von Strahlungsfeldern mit der Wigner-Verteilung und deren Messung,” Ph.D. dissertation (Fachbereich Physik, Technisch Universität Berlin, 1998).
  22. R. N. Bracewell, The Fourier Transform and Its Applications, 2nd ed. (McGraw-Hill, New York, 1986).
  23. F. Gori, M. Santarsiero, A. Sona, “The change of width for a partially coherent beam on paraxial propagation,” Opt. Commun. 82, 197–203 (1990). [CrossRef]
  24. F. Gori, “Collett–Wolf sources and multimode laser,” Opt. Commun. 34, 301–305 (1980). [CrossRef]
  25. J. Turunen, A. Vasara, A. T. Friberg, “Propagation invariance and self-imaging in variable-coherence optics,” J. Opt. Soc. Am. A 8, 282–289 (1991). [CrossRef]
  26. A. T. Friberg, J. Turunen, “Spatially partially coherent Fabry–Perot modes,” J. Opt. Soc. Am. A 11, 227–235 (1994). [CrossRef]
  27. M. Abramowitz, I. Stegun, eds., Handbook of Mathematical Functions (Dover, New York, 1972).
  28. A. Starikov, E. Wolf, “Coherent-mode representation of Gaussian Schell-model sources and of their radiation fields,” J. Opt. Soc. Am. 72, 923–928 (1982). [CrossRef]
  29. F. Gori, “Mode propagation of the field generated by Collett–Wolf Schell-model sources,” Opt. Commun. 46, 149–154 (1983). [CrossRef]
  30. F. Gori, G. Guattari, C. Padovani, “Bessel–Gauss beams,” Opt. Commun. 64, 491–495 (1987). [CrossRef]
  31. C. Palma, R. Borghi, G. Cincotti, “Beams originated by J0-correlated Schell-model planar sources,” Opt. Commun. 125, 113–121 (1996). [CrossRef]
  32. E. Wolf, “New theory of partial coherence in the space-frequency domain. I. Spectra and cross-spectra of steady-state sources,” J. Opt. Soc. Am. 72, 343–351 (1982). [CrossRef]
  33. R. Borghi, M. Santarsiero, “M2 factor of Bessel–Gauss beams,” Opt. Lett. 22, 262–264 (1997). [CrossRef] [PubMed]
  34. A. P. Prudnikov, Yu. A. Brichkov, O. I. Marichev, Integrals and Series (Gordon, New York, 1992).
  35. I. S. Gradshtein, I. M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, New York, 1980).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited