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Chinese Optics Letters

Chinese Optics Letters

| PUBLISHED MONTHLY BY CHINESE LASER PRESS AND DISTRIBUTED BY OSA

  • Vol. 4, Iss. 5 — May. 10, 2006
  • pp: 255–258

Transformation of general astigmatic Gaussian beams in a four-dimensional phase space

Baoxin Chen  »View Author Affiliations


Chinese Optics Letters, Vol. 4, Issue 5, pp. 255-258 (2006)


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Abstract

A phase space model of two-dimensional (2D) Gaussian beam propagation is generalized for three-dimensional (3D) general astigmatic Gaussian beam passing through first-order optical system. The general astigmatic Gaussian beam is represented by a four-dimensional (4D) phase super-ellipsoid that defined by an associated 4*4 real matrix, then the transformation formula of the phase super-ellipsoid of the beam through first-order optical system is derived. In particular, in the phase space framework, the beam propagation factor M2 value is proved to be a ratio of phase area of real beam to ideal beam, and a novel approach for a qualitative examination of the properties of fractional Fourier transform (FRT) for the beam is also provided.

© 2006 Chinese Optics Letters

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(070.2590) Fourier optics and signal processing : ABCD transforms
(080.2730) Geometric optics : Matrix methods in paraxial optics
(140.3300) Lasers and laser optics : Laser beam shaping

Citation
Baoxin Chen, "Transformation of general astigmatic Gaussian beams in a four-dimensional phase space," Chin. Opt. Lett. 4, 255-258 (2006)
http://www.opticsinfobase.org/col/abstract.cfm?URI=col-4-5-255


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References

  1. S. Fu, Chin. Nucl. Phys. 11, 79 (1989).
  2. B.-X. Chen and B.-H. Sun, Chin. Phys. Lett. 20, 1254 (2003).
  3. E. Collett and E. Wolf, Opt. Lett. 2, 27 (1978).
  4. R. Simon, N. Mukunda, and E. G. C. Sudarshan, Opt. Commun. 65, 322 (1988).
  5. R. Simon and N. Mukunda, J. Opt. Soc. Am. A 15, 2373 (1998).
  6. R. Simon, E. G. C. Sudarshan, and N. Mukunda, Phys. Rev. A 31, 2419 (1985).
  7. R. Simon and N. Mukunda, J. Opt. Soc. Am. A 15, 1361 (1998).
  8. R. Simon and N. Mukunda, J. Opt. Soc. Am. A 17, 2440 (2000).
  9. A. T. Friberg and J. Turunen, J. Opt. Soc. Am. A 5, 713 (1988).
  10. M. J. Bastiaans, Opt. Quantum Electron. 24, 1011 (1992).
  11. G. Nemes and A. E. Siegman, J. Opt. Soc. Am. A 11, 2257 (1994).
  12. S. A. Ponomarenko and E. Wolf, Opt. Lett. 25, 663 (2000).
  13. S. A. Ponomarenko and E. Wolf, Opt. Lett. 26, 122 (2001).
  14. A. T. Friberg, E. Tervonen, and J. Turunen, J. Opt. Soc. Am. A 11, 1818 (1994).
  15. B. D. Lu, Laser Optics: Beam Characterization, Propagation and Transformation, Resonator Technology and Physics (in Chinese) (Higher Education Press, Beijing, 2003) p.33.
  16. A. W. Lohmann, J. Opt. Soc. Am. A 10, 2181 (1993).
  17. T. Chen and P. Wu, Chin. J. Lasers (in Chinese) 32, 908 (2005).

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