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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

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 3 — Mar. 1, 2006
  • pp: 625–631

Propagation of decentered elliptical Gaussian beams in apertured and nonsymmetrical optical systems

Xinyue Du and Daomu Zhao  »View Author Affiliations


JOSA A, Vol. 23, Issue 3, pp. 625-631 (2006)
http://dx.doi.org/10.1364/JOSAA.23.000625


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Abstract

A hard-edged elliptical aperture is described approximately by a tensor form, which can be expanded as a finite sum of complex Gaussian functions. An analytical propagation expression for a decentered elliptical Gaussian beam (DEGB) through an axially nonsymmetrical optical system with an elliptical aperture is derived by using vector integration. The approximate analytical results are compared with numerically integral ones, and it is shown that this method can significantly improve the efficiency of numerical calculation. Some numerical simulations are illustrated for the propagation properties of DEGBs through apertured and nonsymmetrical optical transforming systems.

© 2006 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(140.3300) Lasers and laser optics : Laser beam shaping
(350.5500) Other areas of optics : Propagation

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: May 27, 2005
Revised Manuscript: August 24, 2005
Manuscript Accepted: August 26, 2005

Citation
Xinyue Du and Daomu Zhao, "Propagation of decentered elliptical Gaussian beams in apertured and nonsymmetrical optical systems," J. Opt. Soc. Am. A 23, 625-631 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-3-625


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References

  1. A. R. Al-Rashed and B. E. A. Saleh, 'Decentered Gaussian beams,' Appl. Opt. 34, 6819-6825 (1995). [CrossRef] [PubMed]
  2. P. J. Cronin, P. Török, P. Varga, and C. Cogswell, 'High-aperture diffraction of a scalar, off-axis Gaussian beam,' J. Opt. Soc. Am. A 17, 1556-1564 (2000). [CrossRef]
  3. Q. Lin, S. Wang, J. Alda, and E. Bernabeu, 'Transformation of non-symmetric Gaussian beam into symmetric one by means of tensor ABCD law,' Optik (Stuttgart) 85, 67-72 (1990).
  4. J. Alda, S. Wang, and E. Bernabeu, 'Analytical expression for the complex radius of curvature tensor Q for generalized Gaussian beams,' Opt. Commun. 80, 350-352 (1991). [CrossRef]
  5. Y. Cai and Q. Lin, 'Decentered elliptical Gaussian beam,' Appl. Opt. 41, 4336-4340 (2002). [CrossRef] [PubMed]
  6. J. J. Wen and M. A. Breazeale, 'A diffraction beam field expressed as the superposition of Gaussian beams,' J. Acoust. Soc. Am. 83, 1752-1756 (1988). [CrossRef]
  7. J. J. Wen and M. A. Breazeale, 'Computer optimization of the Gaussian beam description of an ultrasonic field,' in Computational Acoustics, D.Lee, A.Cakmak, and R.Vichnevetsky, eds. (Elsevier, 1990).
  8. D. Zhao, H. Mao, W. Zhang, and S. Wang, 'Propagation of off-axial Hermite-cosine-Gaussian beams through an apertured and misaligned ABCD optical system,' Opt. Commun. 224, 5-12 (2003). [CrossRef]
  9. D. Zhao, H. Mao, H. Liu, S. Wang, F. Jing, and X. Wei, 'Propagation of Hermite-cosh-Gaussian beams in apertured fractional Fourier transforming systems,' Opt. Commun. 236, 225-235 (2004). [CrossRef]
  10. Z. Mei and D. Zhao, 'Propagation of Laguerre-Gaussian and elegant Laguerre-Gaussian beams in apertured fractional Hankel transforming systems,' J. Opt. Soc. Am. A 21, 2375-2381 (2004). [CrossRef]
  11. Z. Mei and D. Zhao, 'Approximate method for the generalized M2 factor of rotationally symmetric hard-edged diffracted flattened Gaussian beams,' Appl. Opt. 44, 1381-1386 (2005). [CrossRef] [PubMed]

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