Abstract
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.
Funder
Director, Office of Science, Office of Basic Energy Sciences of the US Department of Energy
Publisher
International Union of Crystallography (IUCr)
Subject
Instrumentation,Nuclear and High Energy Physics,Radiation
Cited by
3 articles.
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