Analytic descriptions of parabolic X-ray mirrors

Autor: Kenneth A. Goldberg
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Journal of Synchrotron Radiation, Vol 29, Iss 4, Pp 985-990 (2022)
Druh dokumentu: article
ISSN: 1600-5775
16005775
DOI: 10.1107/S1600577522004593
Popis: 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.
Databáze: Directory of Open Access Journals