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Applied Optics

Applied Optics


  • Vol. 40, Iss. 9 — Mar. 20, 2001
  • pp: 1378–1385

Accuracy of laser beam center and width calculations

Giovanni Mana, Enrico Massa, and Alessandro Rovera  »View Author Affiliations

Applied Optics, Vol. 40, Issue 9, pp. 1378-1385 (2001)

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The application of lasers in high-precision measurements and the demand for accuracy make the plane-wave model of laser beams unsatisfactory. Measurements of the variance of the transverse components of the photon impulse are essential for wavelength determination. Accuracy evaluation of the relevant calculations is thus an integral part of the assessment of the wavelength of stabilized-laser radiation. We present a propagation-of-error analysis on variance calculations when digitized intensity profiles are obtained by means of silicon video cameras. Image clipping criteria are obtained that maximize the accuracy of the computed result.

© 2001 Optical Society of America

OCIS Codes
(040.1520) Detectors : CCD, charge-coupled device
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(140.0140) Lasers and laser optics : Lasers and laser optics

Original Manuscript: May 25, 2000
Revised Manuscript: November 6, 2000
Published: March 20, 2001

Giovanni Mana, Enrico Massa, and Alessandro Rovera, "Accuracy of laser beam center and width calculations," Appl. Opt. 40, 1378-1385 (2001)

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  1. G. Basile, A. Bergamin, G. Cavagnero, G. Mana, “Phase modulation in high-resolution optical interferometry,” Metrologia 28, 455–461 (1992). [CrossRef]
  2. B. Boldermann, G. Boensch, H. Knoeckel, A. Nicolaus, E. Tiemann, “Wavelength measurements of three iodine lines between 780 nm and 795 nm,” Metrologia 35, 105–113 (1998). [CrossRef]
  3. A. Bergamin, G. Cavagnero, G. Mana, G. Zosi, “Scanning x-ray interferometry and the silicon lattice parameter: toward 10-9 relative uncertainty?” Eur. Phys. J. B 9, 225–232 (1999). [CrossRef]
  4. A. Bergamin, G. Cavagnero, L. Cordiali, G. Mana, “A Fourier optical model of two-beam scanning laser interferometers,” Eur. Phys. J. D 5, 433–440 (1999). [CrossRef]
  5. A. E. Siegman, “New development in laser resonators,” in Optical Resonators, D. A. Holmes, ed., Proc. SPIE1224, 2–14 (1990). [CrossRef]
  6. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), pp. 77–90.
  7. R. P. Loce, R. E. Jodoin, “Sampling theorem for geometric moment determination and its application to a laser beam position detector,” Appl. Opt. 29, 3835–3843 (1990). [CrossRef] [PubMed]
  8. A. E. Siegman, M. W. Sasnett, T. F. Johnston, “Choice of clip levels for beam width measurements using knife-edge techniques,” IEEE J. Quantum Electron. 27, 1098–1104 (1991). [CrossRef]
  9. R. D. Jones, T. R. Scott, “Error propagation in laser beam spatial parameters,” Opt. Quantum Electron. 26, 25–34 (1994). [CrossRef]
  10. Y. Champagne, C. Paré, P. A. Bélanger, “Method for direct measurement of the variance of laser beams,” Opt. Lett. 19, 505–507 (1994). [CrossRef] [PubMed]
  11. A. Bergamin, G. Cavagnero, L. Cordiali, G. Mana, “Beam astigmatism in laser interferometry,” IEEE Trans. Instrum. Meas. 46, 196–200 (1997). [CrossRef]
  12. B. A. Ward, S. Assa, B. W. Davis, C. B. Edwards, P. Muys, “Investigation of the accuracy of M2 measurement of CO2 laser beams,” in Beam Control, Diagnostic, Standard, and Propagation, L. W. Austin, A. Giesen, D. H. Leslie, H. Weichel, eds., Proc. SPIE2375, 335–348 (1995).
  13. “Lasers and laser-related equipment—test methods for laser beam parameters—beam widths, divergence angle and beam propagation factor,” ISO/FDIS 11146:1999(E) (International Organization for Standardization, Geneva, Switzerland, 1999).
  14. D. Gloge, D. Marcuse, “Formal theory of light rays,” J. Opt. Soc. Am. 59, 1629–1631 (1969). [CrossRef]
  15. L. C. Baird, “Moments of a wave packet,” Am. J. Phys. 40, 327–329 (1972). [CrossRef]
  16. S. Lavi, R. Prochaska, E. Keren, “Generalized beam parameter and transformation laws for partially coherent light,” Appl. Opt. 27, 3696–3703 (1988). [CrossRef] [PubMed]
  17. M. A. Porras, J. Alda, E. Bernabeu, “Complex beam parameter and ABCD law for non-Gaussian and nonspherical light beams,” Appl. Opt. 31, 6389–6402 (1992). [CrossRef] [PubMed]
  18. M. W. Sasnett, T. F. Johnston, “Beam characterization and measurement of propagation attributes,” in Laser Beam Diagnostic, R. N. Hindy, Y. Kohanzadeh, eds., Proc. SPIE1414, 21–32 (1991). [CrossRef]
  19. Guide to the Expression of Uncertainty in Measurement (International Organization for Standardization, Geneva, Switzerland, 1993).
  20. C. D. Meyer, G. W. Stewart, “Derivatives and perturbations of eigenvectors,” SIAM (Soc. Ind. Appl. Math) J. Numer. Anal. 25, 679–691 (1988).
  21. R. Mugno, “La macchina di misura a coordinate esperta,” Ph.D. dissertation (Politecnico di Torino, Torino, Italy, 1998).
  22. CCIR camera Model 6710 (Cohu, Inc., P.O. Box 85623, San Diego, California 92186).

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