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Applied Optics

Applied Optics


  • Vol. 43, Iss. 34 — Dec. 1, 2004
  • pp: 6270–6277

Efficiency of an elliptically shaped x-ray mirror

Inna N. Bukreeva, Sultan B. Dabagov, and Stefano Lagomarsino  »View Author Affiliations

Applied Optics, Vol. 43, Issue 34, pp. 6270-6277 (2004)

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Curved reflecting mirrors are widely used as x-ray optical elements for both laboratory and synchrotron radiation sources. In general, the mirror parameters are optimized by numerical simulation. We discuss an analytical approach that is useful for deriving the mirror parameters, including eccentricity, length, angular acceptance, and magnification. We have examined in particular an elliptical surface from which we learned that, given the distance between the foci of the ellipse, the magnification, and the critical angle of total external reflection, it is possible to find analytically the optimal eccentricity that maximizes the angular acceptance and the optimal mirror length. We found that the last-named parameter, in a first approximation, depends only on the distance between the foci of the ellipse and on the magnification factor. We present as well a comparison of optimal parameters obtained with analytical calculation and with ray-tracing simulation that yielded good agreement.

© 2004 Optical Society of America

OCIS Codes
(220.2560) Optical design and fabrication : Propagating methods
(220.4830) Optical design and fabrication : Systems design
(340.0340) X-ray optics : X-ray optics
(340.6720) X-ray optics : Synchrotron radiation
(340.7460) X-ray optics : X-ray microscopy
(340.7470) X-ray optics : X-ray mirrors

Original Manuscript: December 23, 2003
Revised Manuscript: June 15, 2004
Published: December 1, 2004

Inna N. Bukreeva, Sultan B. Dabagov, and Stefano Lagomarsino, "Efficiency of an elliptically shaped x-ray mirror," Appl. Opt. 43, 6270-6277 (2004)

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