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

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 16, Issue 1, 1999, Pages 106-112

  Santarsiero, M ^a   Gori, F ^a   Borghi, R ^a   Cincotti, G ^a   Vahimaa, P ^b  

^a ROMA TRE UNIVERSITY   (Italy)

^b UNIVERSITY OF EASTERN FINLAND   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000406758     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.16.000106     Document Type: Article

References (38)

1. P. M. Mejías, H. Weber, R. Martínez-Herrero, and A. González-Ureña, eds., Proceedings of the Workshop on Laser Beam Characterization (Sociedad Espan˜ola de Optica, Madrid, 1993);
2. H. Weber, N. Reng, J. Lü dtke, and P. M. Mejías, eds., Laser Beam Characterization (FestkörperLaser-Institute GmbH, Berlin, 1994);
3. M. Morin and A. Giesen, eds., Third International Workshop on Laser Beam and Optics Characterization, Proc. SPIE 2870, (1996);
4. A. Giesen and M. Morin, eds., Proceedings of the Fourth International Workshop on Laser Beam and Optics Characterization (Institut fü r Strahlwerkzeuge, Munich, 1997).
5. A. Siegman, “New developments in laser resonators,” in Optical Resonators, D. A. Holmes, ed., Proc. SPIE 1224, 2–14 (1990).
6. P. A. Bélanger, “Beam propagation and the ABCD ray matrices,” Opt. Lett. 16, 196–198 (1991).
7. A. Siegman, “Defining the effective radius of curvature of a nonideal optical beam,” IEEE J. Quantum Electron. 27, 1146–1148 (1991).
8. E. Wolf, “Coherence and radiometry,” J. Opt. Soc. Am. 68, 7–17 (1978).
9. E. Collett and E. Wolf, “Is complete coherence necessary for the generation of highly directional light beams?” Opt. Lett. 2, 27–29 (1978).
10. R. Martínez-Herrero and P. M. Mejías, “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).
11. R. Simon, N. Mukunda, and E. C. G. Sudarshan, “Partially coherent beams and a generalized ABCD law,” Opt. Commun. 65, 322–328 (1988).
12. F. Gori, M. Santarsiero, and A. Sona, “The change of width for partially coherent beam on paraxial propagation,” Opt. Commun. 82, 197–203 (1991).
13. A. T. Friberg and R. J. Sudol, “Propagation parameters of Gaussian Schell-model beams,” Opt. Commun. 41, 383–387 (1982).
14. R. Gase, “The multimode laser radiation as a Gaussian Schell model beam,” J. Mod. Opt. 38, 1107–1115 (1991).
15. R. Simon and N. Mukunda, “Twisted Gaussian Schellmodel beams,” J. Opt. Soc. Am. A 10, 95–109 (1993).
16. A. T. Friberg, E. Tervonen, and J. Turunen, “Interpretation and experimental demonstration of twisted Gaussian Schell-model beams,” J. Opt. Soc. Am. A 11, 1818–1826 (1994).
17. D. Ambrosini, V. Bagini, F. Gori, and M. Santarsiero, “Twisted Gaussian Schell-model beams: a superposition model,” J. Mod. Opt. 41, 1391–1399 (1994).
18. F. Gori, M. Santarsiero, R. Borghi, and S. Vicalvi, “Partially coherent sources with helicoidal modes,” J. Mod. Opt. 35, 539–554 (1998).
19. R. Borghi and M. Santarsiero, “Modal decomposition of partially coherent flat-top beams produced by multimode lasers,” Opt. Lett. 23, 313–315 (1998).
20. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, UK, 1995).
21. F. Gori, G. Guattari, and C. Padovani, “Modal expansion for J0-correlated Schell-model sources,” Opt. Commun. 64, 311–316 (1987).
22. M. J. Bastiaans, “Application of the Wigner distribution function to partially coherent light,” J. Opt. Soc. Am. A 3, 1227–1238 (1986).
23. J. Serna, R. Martínez-Herrero, and P. M. Mejías, “Parametric characterization of a general partially coherent beam propagating through ABCD optical systems,” J. Opt. Soc. Am. A 8, 1094–1098 (1991).
24. B. Eppich, “Die Charakterisierung von Strahlungsfeldern mit der Wigner-Verteilung und deren Messung,” Ph.D. dissertation (Fachbereich Physik, Technisch Universitä t Berlin, 1998).
25. R. N. Bracewell, The Fourier Transform and Its Applications, 2nd ed. (McGraw-Hill, New York, 1986).
26. F. Gori, M. Santarsiero, and A. Sona, “The change of width for a partially coherent beam on paraxial propagation,” Opt. Commun. 82, 197–203 (1990).
27. F. Gori, “Collett–Wolf sources and multimode laser,” Opt. Commun. 34, 301–305 (1980).
28. J. Turunen, A. Vasara, and A. T. Friberg, “Propagation invariance and self-imaging in variable-coherence optics,” J. Opt. Soc. Am. A 8, 282–289 (1991).
29. A. T. Friberg and J. Turunen, “Spatially partially coherent Fabry–Perot modes,” J. Opt. Soc. Am. A 11, 227–235 (1994).
30. M. Abramowitz and I. Stegun, eds., Handbook of Mathematical Functions (Dover, New York, 1972).
31. A. Starikov and E. Wolf, “Coherent-mode representation of Gaussian Schell-model sources and of their radiation fields,” J. Opt. Soc. Am. 72, 923–928 (1982).
32. F. Gori, “Mode propagation of the field generated by Collett–Wolf Schell-model sources,” Opt. Commun. 46, 149–154 (1983).
33. F. Gori, G. Guattari, and C. Padovani, “Bessel–Gauss beams,” Opt. Commun. 64, 491–495 (1987).
34. C. Palma, R. Borghi, and G. Cincotti, “Beams originated by J0-correlated Schell-model planar sources,” Opt. Commun. 125, 113–121 (1996).
35. E. Wolf, “New theory of partial coherence in the spacefrequency domain. I. Spectra and cross-spectra of steady-state sources,” J. Opt. Soc. Am. 72, 343–351 (1982).
36. 2 factor of Bessel–Gauss beams,” Opt. Lett. 22, 262–264 (1997).
37. A. P. Prudnikov, Yu. A. Brichkov, and O. I. Marichev, Integrals and Series (Gordon, New York, 1992).
38. I. S. Gradshtein and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, New York, 1980).