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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 27 — Sep. 20, 2012
  • pp: 6539–6543

Method to evaluate beam quality of Gaussian beams with aberrations

Yuntao Qiu, Lei Huang, Mali Gong, Liu Qiang, Ping Yan, and Haitao Zhang  »View Author Affiliations


Applied Optics, Vol. 51, Issue 27, pp. 6539-6543 (2012)
http://dx.doi.org/10.1364/AO.51.006539


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Abstract

Zernike polynomials are commonly used to describe the aberration of light beams, and the beam quality of Gaussian beams with aberrations can be deduced when the order of Zernike polynomials is limited. In this paper, Hermite polynomials are utilized to reconstruct the aberrations of Gaussian beams. The beam quality factor is directly related to the coefficient and terms of Hermite polynomials and has no limit on its index. We analyzed the beam quality of a Gaussian beam with a quartic aberration and other former 11th Zernike aberrations by Hermite polynomial expansion. The result corresponds with the published research work.

© 2012 Optical Society of America

OCIS Codes
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(080.1005) Geometric optics : Aberration expansions
(140.3295) Lasers and laser optics : Laser beam characterization

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: April 19, 2012
Revised Manuscript: August 1, 2012
Manuscript Accepted: August 9, 2012
Published: September 14, 2012

Citation
Yuntao Qiu, Lei Huang, Mali Gong, Liu Qiang, Ping Yan, and Haitao Zhang, "Method to evaluate beam quality of Gaussian beams with aberrations," Appl. Opt. 51, 6539-6543 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-27-6539


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References

  1. A. E. Siegman, “New developments in laser resonators,” Proc. SPIE 1224, 2–14 (1990). [CrossRef]
  2. M. J. Bastiaans, “Propagation laws for the second-order moments of the Wigner distribution function in first-order optical systems,” Optik 82, 173–181 (1989).
  3. A. E. Siegman, “Analysis of laser beam quality degradation caused by quartic phase aberrations,” Appl. Opt. 32, 5893–5091 (1993). [CrossRef]
  4. J. A. Ruff and A. E. Siegman, “Measurement of beam quality degradation due to spherical aberration in a simple lens,” Opt. Quantum Electron. 26, 629–632 (1994). [CrossRef]
  5. R. Martinez-Herrero and P. M. Meijas, “Second-order spatial characterization of hard-edge diffracted beams,” Opt. Lett. 18, 1669–1671 (1993). [CrossRef]
  6. R. Martinez-Herrero, P. M. Mejias, and M. Arias, “Parametric characterization of coherent, lowest-order Gaussian beams propagating through hard-edged apertures,” Opt. Lett. 20, 124–126 (1995). [CrossRef]
  7. B. Lu and S. Luo, “Parametric characterization of rotationally symmetric hard-edged diffracted beams,” J. Opt. Soc. Am. A 21, 193–198 (2004). [CrossRef]
  8. M. A. Porras, “Non-paraxial vectorial moment theory of light beam propagation,” Opt. Commun. 127, 79–95 (1996). [CrossRef]
  9. J. Alda, J. Alonso, and E. Bernabeu, “Characterization of aberrated laser beams,” J. Opt. Soc. Am. A 14, 2737–2747 (1997). [CrossRef]
  10. C. Mafusire and A. Forbes, “Generalized beam quality factor of aberrated truncated Gaussian laser beams,” J. Opt. Soc. Am. A 28, 1372–1378 (2011). [CrossRef]
  11. V. N. Mahajan, “Uniform versus Gaussian beams: a comparison of the effects of diffraction, obscuration, and aberrations,” J. Opt. Soc. Am. A 3, 470–485 (1986). [CrossRef]
  12. P. H. Hu, J. Stone, and T. Stanley, “Application of Zernike polynomials to atmospheric propagation problems,” J. Opt. Soc. Am. A 6, 1595–1608 (1986). [CrossRef]
  13. A. E. Siegman, Lasers (University Science, 1986) pp. 663–695.
  14. P. A. Belanger, “Beam propagation and the ABCD ray matrices,” Opt. Lett. 16, 196–198 (1991). [CrossRef]

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