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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 5 — Mar. 11, 2013
  • pp: 5635–5635
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A laser beam quality definition based on induced temperature rise: erratum

Harold C. Miller  »View Author Affiliations


Optics Express, Vol. 21, Issue 5, pp. 5635-5635 (2013)
http://dx.doi.org/10.1364/OE.21.005635


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Abstract

An erratum is presented to correct an error in an equation used to determine laser beam quality from power-in-the-bucket curves.

© 2013 OSA

In the recent paper on laser beam quality [1

1. H. C. Miller, “A laser beam quality definition based on induced temperature rise,” Opt. Express 20(27), 28819–28828 (2012). [CrossRef] [PubMed]

], the mathematical form of Eq. (19) in section 5 is incorrect as published. Equation (19) came from a straightforward substitution using Eq. (5), Eq. (17) and Eq. (18) in the reference. The resulting equation for the beam quality (BQ) is,

BQ=0(dPIBdθ(θ))idealdθθ0(dPIBdθ(θ))measureddθθ.
(1)

PIB(θ) is the power-in-the-bucket function and θ is the radial coordinate (expressed as a diffraction angle) in the far-field plane. One can perform a change-of-variables such that the integration variable is now the PIB. Since PIB(∞) = P, the total power in the beam, the limits of integration also change and Eq. (19) should correctly read,

BQ=0PdPIBθ(PIB)ideal0PdPIBθ(PIB)measured.
(2)

The impact of the shapes of the measured and ideal far-field intensity distributions are now captured by the inverse function, θ(PIB), which can be read-off a measured or calculated PIB(θ) curve. The intention was to clearly show how the beam quality depends on the distribution of power in the far-field. Equation (1) above may be more useful than Eq. (2) from a numerical analysis perspective, although either equation can be used. The author regrets any confusion that may have been caused by the oversight.

Reference

1.

H. C. Miller, “A laser beam quality definition based on induced temperature rise,” Opt. Express 20(27), 28819–28828 (2012). [CrossRef] [PubMed]

OCIS Codes
(120.4800) Instrumentation, measurement, and metrology : Optical standards and testing
(120.6810) Instrumentation, measurement, and metrology : Thermal effects
(140.3295) Lasers and laser optics : Laser beam characterization

ToC Category:
Physical Optics

History
Original Manuscript: February 26, 2013
Published: February 28, 2013

Citation
Harold C. Miller, "A laser beam quality definition based on induced temperature rise: erratum," Opt. Express 21, 5635-5635 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-5-5635

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