OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 41, Iss. 15 — May. 20, 2002
  • pp: 2809–2817

Determination of beam parameters and coherence properties of laser radiation by use of an extended Hartmann-Shack wave-front sensor

Bernd Schäfer and Klaus Mann  »View Author Affiliations

Applied Optics, Vol. 41, Issue 15, pp. 2809-2817 (2002)

View Full Text Article

Enhanced HTML    Acrobat PDF (857 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A combination of a Hartmann-Shack sensor and a standard far-field measurement on one single detector is proposed. The technique is fast and operates without movable parts, thus permitting a compact design. It is not only suited for characterization of the wave-front distribution but may also be considered for determination of the important parameters of beam width, beam divergence, and beam propagation ratio M2 of partially coherent laser beams. First results indicate that a fairly thorough beam characterization, including spatial coherence, propagation characteristics, and beam quality, can be achieved with this method.

© 2002 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

Original Manuscript: August 17, 2001
Revised Manuscript: December 4, 2001
Published: May 20, 2002

Bernd Schäfer and Klaus Mann, "Determination of beam parameters and coherence properties of laser radiation by use of an extended Hartmann-Shack wave-front sensor," Appl. Opt. 41, 2809-2817 (2002)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. L. Mandel, E. Wolf, Optical Coherence and Quantum Optics, 2nd ed. (Cambridge U. Press, Cambridge, England, 1994).
  2. M. J. Baastians, “Application of the Wigner distribution function to partially coherent light,” J. Opt. Soc. Am. A 3, 1227–1238 (1986). [CrossRef]
  3. B. Eppich, “Measurement of the Wigner distribution function based on the inverse Radon transformation,” in Beam Control, Diagnostics Standards and Propagation, L. W. Austin, A. Giesen, D. H. Leslie, H. Weichel, eds., Proc. SPIE2375, 261–268 (1995). [CrossRef]
  4. J. Hartmann, “Bemerkungen über den Bau und die Justierung von Spektrographen,” Z. Instrumentenk. 20, 47–58 (1900).
  5. B. Platt, R. Shack, “Lenticular Hartmann screen,” Opt. Sci. Cent. Newsl. 5, No. 1, 15 (1971).
  6. D. R. Neal, W. J. Alford, J. K. Gruetzner, M. E. Warren, “Amplitude and phase beam characterization using a two-dimensional wavefront sensor,” in Third International Workshop on Laser Beam and Optics Characterization, A. Giesen, M. Morin, eds., Proc. SPIE2870, 72–82 (1996). [CrossRef]
  7. B. Schäfer, K. Mann, “Investigation of the propagation characteristics of excimer lasers using a Hartmann-Shack sensor,” Rev. Sci. Instrum. 71, 2663–2668 (2000). [CrossRef]
  8. V. Laude, S. Olivier, C. Dirson, J. P. Huignard, “Hartmann wave-front scanner,” Opt. Lett. 24, 1796–1798 (1999). [CrossRef]
  9. R. Cubalchini, “Modal wavefront estimation from phase derivative measurement,” J. Opt. Soc. Am. 69, 972–977 (1979). [CrossRef]
  10. R. J. Noll, “Phase estimates from slope type wavefront sensors,” J. Opt. Soc. Am. 68, 139–140 (1978). [CrossRef]
  11. W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge U. Press, Cambridge, England, 1992).
  12. G. Nemes, J. Serna, “Do not use spherical lenses and free spaces to characterize beams: a possible improvement of the ISO/DIS 11146 document,” in Proceedings of the Fourth Workshop on Laser Beam and Optics Characterization, A. Giesen, M. Morin, eds., pp. 29–49 (A. Giesen, Institut fur Strahlwerkzeuge Universität Stuttgart, Munich, Germany, 1997).
  13. International Organization for Standardization, “Lasers and laser-related equipment—Test methods for laser beam parameters—Beam widths, divergence angle and beam propagation factor,” ISO/FDIS 11146, ISO Document ISO/TC 172/SC 9/WG 1 (ISO, Geneva, Switzerland, 1999).
  14. M. Born, E. Wolf, Principles of Optics, 6th ed. (Cambridge U. Press, Cambridge, England, 1985).
  15. A. E. Siegman, “New developments in laser resonators,” in Optical Resonators, D. A. Holmes, ed., Proc. SPIE1224, 2–14 (1990). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited