Analytic descriptions of parabolic X-ray mirrors
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- May 25, 2022
- Source ID
- 10.1107/s1600577522004593
Entities
People
- Kenneth A. Goldberg
Organizations
- Lawrence Berkeley National Laboratory