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Analytic descriptions of parabolic X-ray mirrors

Journal Article · · Journal of Synchrotron Radiation (Online)
 [1]
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Advanced Light Source (ALS)
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On X-ray beamlines and telescopes, glancing-incidence mirrors with parabolic profiles are used to collimate, focus, and collect light. Here, analytic descriptions for paraboloidal, plane-parabolic, and parabolic cylindrical mirrors in several congruent geometries that are commonly used in fabrication, metrology, and modeling are provided. The exact expressions are derived directly from Fermat's principle, without coordinate transformations, in several mirror-centered coordinate systems, including one with the surface tangent to the central point of intersection. Coefficients for a sixth-order polynomial series approximation are calculated for that coordinate system.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1893887
Journal Information:
Journal of Synchrotron Radiation (Online), Journal Name: Journal of Synchrotron Radiation (Online) Journal Issue: 4 Vol. 29; ISSN 1600-5775
Publisher:
International Union of CrystallographyCopyright Statement
Country of Publication:
United States
Language:
English

References (16)

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journal May 2010
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conference November 1999
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Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
X-ray
collimator
focusing
mirror
parabolic