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- Title
Analytic descriptions of parabolic X-ray mirrors.
- Authors
Goldberg, Kenneth A.
- 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 mirrorcentered 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.
- Subjects
PARABOLIC reflectors; X-ray telescopes; GEOMETRIC congruences; POLYNOMIAL approximation; COORDINATE transformations; MIRRORS
- Publication
Journal of Synchrotron Radiation, 2022, Vol 29, Issue 4, p985
- ISSN
0909-0495
- Publication type
Article
- DOI
10.1107/S1600577522004593