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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 73, Iss. 3 — Mar. 1, 1983
  • pp: 256–261

Gaussian Schell-model sources: an example and some perspectives

J. Deschamps, D. Courjon, and J. Bulabois  »View Author Affiliations

JOSA, Vol. 73, Issue 3, pp. 256-261 (1983)

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In this paper we deal with the use of feedback systems to generate Gaussian Schell-model sources. Owing to the approximation of quasi-homogeneity of the beam and assuming slow transmittance variations of diffracting elements, the coherence-propagation equation can be simplifed and leads after several transits to a multiple-convolution product. According to the central-limit theorem and whatever the pupil functions are, this product reduces in general to a Gaussian distribution. This result is applied to imaging and lensless feedback systems.

© 1983 Optical Society of America

J. Deschamps, D. Courjon, and J. Bulabois, "Gaussian Schell-model sources: an example and some perspectives," J. Opt. Soc. Am. 73, 256-261 (1983)

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  1. W. H. Carter and E. Wolf, "Coherence and radiometry with quasi-homogeneous planar sources," J. Opt. Soc. Am. 67, 785–796 (1977).
  2. H. P. Baltes, J. Geist, and A. Walther, Radiometry and Coherence, Vol. 9 of Topics in Current Physics (Springer-Verlag, Berlin, 1978), pp. 135–139.
  3. E. Collett and E. Wolf, "Is complete spatial coherence necessary for the generation of highly directional light beams?" Opt. Lett. 2, 27 (1978).
  4. J. D. Farina, L. M. Narducci, and E. Collett, "Generation of highly directional beams from a globally incoherent source," Opt. Commun. 32, 203–207 (1980).
  5. P. de Santis, F. Gori, G. Guattari, and C. Palma, "An example of a Collett—Wolf source," Opt. Commun. 29, 256–260 (1979).
  6. F. Gori, "Collett—Wolf sources and multimode lasers," Opt. Commun. 34, 301–305 (1978).
  7. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  8. J. W. Goodman, "Some effects of target-induced scintillation on optical radar performance," Proc. IEEE 53, 1688–1700 (1965).
  9. J. W. Goodman, Laser Speckle and Related Phenomena, Vol. 9 of Topics in Applied Physics (Springer-Verlag, Berlin, 1975), pp. 61–63.
  10. Although the reflection and transmission coefficients strongly limit the available energy in the output plane, they have been dropped in the mathematical development since this paper deals more with the qualitative study of the propagation of a partially coherent field in the system than with energy considerations.
  11. See, for instance, R. Bracewell, The Fourier Transform and Its Applications (McGraw-Hill, New York, 1965), pp. 168–173; A. Papoulis, The Fourier Integral and Its Applications (McGraw- Hill, New York, 1962), pp. 227–239.
  12. A. G. Fox and T. Li, "Resonant modes in a maser interferometer," Bell Syst. Tech. J. 40, 453–588 (1961).
  13. G. Dujardin and P. Flamant, "Conversion d'énergie dans les amplificateurs à colorants en présence de superfluorescence," Opt. Acta 25, 273–283 (1978).
  14. V. Ganiel, A. Hardy, G. Neumann, and D. Treves, "Amplified spontaneous emission and signal amplification in dye-laser systems," IEEE J. Quantum Electron. QE-11, 881–891 (1975).
  15. E. Wolf, "Recent researches on coherence properties of light," presented at Third International Conference on Quantum Electronics, Paris, 1964.

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