Wigner distribution function in nonlinear optics

Applied Optics

Volumn 35, Issue 21, 1996, Pages 4142-4146

  Dragoman, D ^a  

^a UNIVERSITY OF BUCHAREST   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039287269     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.35.004142     Document Type: Article

References (23)

1. E. Wigner, “On the quantum correction for thermodynamic equilibrium,”Phys. Rev. 40, 749-759 (1932).
2. M. J. Bastiaans, “Wigner distribution function and its applications to first-order optics,” J. Opt. Soc. Am. 69, 1710-1716 (1979).
3. M. J. Bastiaans, “Applications of the Wigner distribution function to partially coherent light,” J. Opt. Soc. Am. A 3, 1227-1237 (1986).
4. D. Onciul, “Invariance properties of general astigmatic beams through first-order optical systems,” J. Opt. Soc. Am. A 10, 295-298 (1993).
5. D. Dragoman, “Higher-order moments of the Wigner distribution function in first-order optical systems,” J. Opt. Soc. Am. A 11, 2643-2646 (1994).
6. J. Serna, R. Martinez-Herrero, and P. M. Mejias, “Parametric characterization of general partially coherent beams propagating through ABCD optical systems,” J. Opt. Soc. Am. A 8, 1094-1098 (1991).
7. R. Martinez-Herrero, G. Piquero, and P. M. Mejias, “On the propagation of the kurtosis parameter of general beams,” Opt. Commun. 115, 225-232 (1995).
8. N. Marcuvitz, “Quasiparticle view of wave propagation,” Proc. IEEE 68, 1380-1395 (1980).
9. V. Magni, G. Cerullo, and S. De Silvestri, “ABCD matrix analysis of propagation of Gaussian beams through Kerr media,” Opt. Commun. 96, 348-355 (1993).
10. R. Martinez-Herrero and P. M. Mejias, “Beam characterization through active media,” Opt. Commun. 85, 162-166 (1991).
11. M. A. Porras, J. Alda, and E. Bernabeu, “Nonlinear propagation and transformation of arbitrary laser beams by means of the generalized ABCD formalism,”Appl. Opt. 32, 5885-5892 (1993).
12. C. Pare and P. A. Belanger, “Beam propagation in a linear or nonlinear lens-like medium using ABCD ray matrices: the method of moments,” Opt. Quantum Electron. 24, 1051-1070 (1992).
13. Y. S. Kim and M. E. Noz, Phase Space Picture of Quantum Mechanics (World Scientific, Singapore, 1991), Chap. 3.
14. M. J. Bastiaans, “Transport equation for the Wigner distribution function,” Opt. Acta 26, 1265-1272 (1979).
15. A. Ankiewicz and C. Pask, “Geometric optics approach to light acceptance and propagation in graded index fibers,” Opt. Quantum Electron. 9, 87-109 (1977).
16. L. D. Faddeev and L. A. Takhtajan, Hamiltonian Methods in the Theory ofSolitons (Springer-Verlag, Berlin, 1987).
17. V. Guillemin and S. Sternberg, Symplectic Techniques in Physics (Cambridge U. Press, Cambridge, 1984).
18. D. Dragoman, “Wigner distribution function for Gaussian-Schell beams in complex matrix optical systems,” Appl. Opt. 34, 3352-3357 (1995).
19. A. Yariv, Optical Electronics (CBS College Publications, New York, 1985), Chap. 2.
20. K. H. Brenner and A. W. Lohmann, “Wigner distribution function display of complex 1 D signals,” Opt. Commun. 42, 310-314 (1982).
21. H. O. Bartelt, K. H. Brenner, and A. W. Lohmann, “The Wigner distribution function and its optical production,” Opt. Commun. 32, 32-38 (1980).
22. H. Weber, “Wave optical analysis of the phase space analyzer,” J. Mod. Opt. 39, 543-559 (1992).
23. N. Hodgson, T. Haase, R. Kostka, and H. Weber, “Determination of laser beam parameters with the phase space analyzer,” Opt. Commun. 24, 927-949 (1992).