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Optics Express

• Editor: Andrew M. Weiner
• Vol. 21, Iss. 5 — Mar. 11, 2013
• pp: 5635–5635

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.

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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