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Applied Optics

Applied 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)

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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

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

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)

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