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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 5, Iss. 5 — May. 1, 1988
  • pp: 713–720

Imaging of Gaussian Schell-model sources

Ari T. Friberg and Jari Turunen  »View Author Affiliations


JOSA A, Vol. 5, Issue 5, pp. 713-720 (1988)
http://dx.doi.org/10.1364/JOSAA.5.000713


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Abstract

Imaging of Gaussian Schell-model sources by general lossless systems is analyzed with an extended ray-transfermatrix method. Algebraic expressions are derived for the location, size, and coherence area of the image waist and for the depth of focus and the far-field diffraction angle. These results are shown to provide a continuous transformation between laser-beam optics and geometrical optics. They also lead naturally to several equivalence and invariance relations pertaining to isotropic and anisotropic Gaussian Schell-model sources. As an application, the importance of effects due to partial spatial coherence in beam focusing is examined.

© 1988 Optical Society of America

History
Original Manuscript: September 23, 1987
Manuscript Accepted: December 8, 1987
Published: May 1, 1988

Citation
Ari T. Friberg and Jari Turunen, "Imaging of Gaussian Schell-model sources," J. Opt. Soc. Am. A 5, 713-720 (1988)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-5-5-713


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References

  1. A. C. Schell, “A technique for the determination of the radiation pattern of a partially coherent aperture,” IEEE Trans. Antennas Propag. AP-15, 187–188 (1967). [CrossRef]
  2. L. Mandel, E. Wolf, “Spectral coherence and the concept of cross-spectral purity,” J. Opt. Soc. Am. 66, 529–535 (1976). [CrossRef]
  3. H. P. Baltes, J. Geist, A. Walther, “Radiometry and coherence,” in Inverse Source Problems in Optics, H. P. Baltes, ed. (Springer-Verlag, Berlin, 1978), pp. 119–154. [CrossRef]
  4. W. H. Carter, “Statistical radiometry,” Radio Sci. 18, 149–158 (1983). [CrossRef]
  5. E. Collett, E. Wolf, “Beams generated by Gaussian quasihomogeneous sources,” Opt. Commun. 32, 27–31 (1980). [CrossRef]
  6. J. T. Foley, M. S. Zubairy, “The directionality of Gaussian Schell-model beams,” Opt. Commun. 26, 297–300 (1978). [CrossRef]
  7. E. Wolf, E. Collett, “Partially coherent sources which produce the same far-field intensity distribution as a laser,” Opt. Commun. 25, 293–296 (1978). [CrossRef]
  8. B. E. A. Saleh, “Intensity distribution due to a partially coherent field and the Collett–Wolf theorem in the Fresnel zone,” Opt. Commun. 30, 135–138 (1979). [CrossRef]
  9. F. Gori, “Collett–Wolf sources and multimode lasers,” Opt. Commun. 34, 301–305 (1980). [CrossRef]
  10. 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]
  11. A. T. Friberg, R. J. Sudol, “Propagation parameters of Gaussian Schell-model beams,” Opt. Commun. 41, 383–387 (1982). [CrossRef]
  12. A. T. Friberg, R. J. Sudol, “The spatial coherence properties of Gaussian Schell-model beams,” Opt. Acta 30, 1075–1097 (1983). [CrossRef]
  13. R. Simon, E. C. G. Sudarshan, N. Mukunda, “Generalized rays in first-order optics: transformation properties of Gaussian Schell-model fields,” Phys. Rev. A 29, 3273–3279 (1984). [CrossRef]
  14. C. Pask, “Application of Wolf’s theory of coherence,” J. Opt. Soc. Am. A 3, 1097–1101 (1986). [CrossRef]
  15. P. DeSantis, F. Gori, G. Guattari, C. Palma, “An example of a Collett–Wolf source,” Opt. Commun. 29, 256–260 (1979). [CrossRef]
  16. J. D. Farina, L. M. Narducci, E. Collett, “Generation of highly directional beams from a globally incoherent source,” Opt. Commun. 32, 203–207 (1980). [CrossRef]
  17. J. Deschamps, D. Courjon, J. Bulabois, “Gaussian Schellmodel sources: an example and some perspectives,” J. Opt. Soc. Am. 73, 256–261 (1983). [CrossRef]
  18. A. T. Friberg, J. Turunen, “Algebraic and graphical propagation methods for Gaussian Schell-model beams,” Opt. Eng. 25, 857–864 (1986). [CrossRef]
  19. H. Kogelnik, “Imaging of optical modes—resonators with internal lenses,” Bell Syst. Tech. J. 44, 455–494 (1965).
  20. S. A. Collins, “Lens-system diffraction integral written in terms of matrix optics,” J. Opt. Soc. Am. 60, 1168–1177 (1970). [CrossRef]
  21. Y. Li, E. Wolf, “Radiation from anisotropic Gaussian Schellmodel sources,” Opt. Lett. 7, 256–258 (1982). [CrossRef] [PubMed]
  22. R. Simon, “A new class of anisotropic Gaussian beams,” Opt. Commun. 55, 381–385 (1985). [CrossRef]
  23. Y. Li, E. Wolf, “Focal shifts in diffracted converging spherical waves,” Opt. Commun. 39, 211–215 (1981). [CrossRef]
  24. E. Wolf, “Coherence and radiometry,” J. Opt. Soc. Am. 68, 6–17 (1978). [CrossRef]
  25. J. Turunen, A. T. Friberg, “Matrix representation of Gaussian Schell-model beams in optical systems,” Opt. Laser Technol. 18, 259–267 (1986). [CrossRef]
  26. H. Kogelnik, “On the propagation of Gaussian beams of light through lenslike media including those with a loss or gain variation,” Appl. Opt. 4, 1562–1569 (1965). [CrossRef]
  27. J. Turunen, A. T. Friberg, “Propagation of Gaussian Schellmodel beams: a matrix method,” in Optical System Design, Analysis, and Production for Advanced Technology Systems, R. E. Fischer, P. J. Rogers, eds. Proc. Soc. Photo-Opt. Instrum. Eng.655, 60–66 (1986). [CrossRef]
  28. P. DeSantis, F. Gori, G. Guattari, C. Palma, “Anisotropic Gaussian Schell-model sources,” Opt. Acta 33, 315–326 (1986). [CrossRef]
  29. A. Gerrard, J. M. Burch, Introduction to Matrix Methods in Optics (Wiley, London, 1975).
  30. E. Wolf, “New theory of partial coherence in the space-frequency domain. Part II: Steady-state fields and higher-order correlations,” J. Opt. Soc. Am. A 3, 76–85 (1986). [CrossRef]

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