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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 2 — Feb. 1, 1999
  • pp: 323–330

Technique for diagnosing x-ray laser beam quality by use of the moiré signal

Jun Yang, Dianyuan Fan, Shiji Wang, and Yuan Gu  »View Author Affiliations


JOSA A, Vol. 16, Issue 2, pp. 323-330 (1999)
http://dx.doi.org/10.1364/JOSAA.16.000323


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Abstract

We present what we believe is a novel technique based on the moiré effect for fully diagnosing the beam quality of an x-ray laser. Using Fresnel diffraction theory, we investigated the intensity profile of the moiré pattern when a general paraxial beam illuminates a pair of Ronchi gratings in the quasi-far field. Two formulas were derived to determine the beam quality factor <i>M</i><sup>2</sup> and the effective radius of curvature <i>R</i><sub>e</sub> from the moiré pattern. On the basis of the results, the far-field divergence, the waist location, and the radius can be calculated further. Finally, we verified the approach by use of numerical simulation.

© 1999 Optical Society of America

OCIS Codes
(120.4120) Instrumentation, measurement, and metrology : Moire' techniques
(140.0140) Lasers and laser optics : Lasers and laser optics
(140.7240) Lasers and laser optics : UV, EUV, and X-ray lasers
(340.0340) X-ray optics : X-ray optics

Citation
Jun Yang, Dianyuan Fan, Shiji Wang, and Yuan Gu, "Technique for diagnosing x-ray laser beam quality by use of the moiré signal," J. Opt. Soc. Am. A 16, 323-330 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-2-323

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