Analytic descriptions of parabolic X-ray mirrors

被引：4

作者：

Goldberg, Kenneth A. ^{[1
]}

机构：

[1] Lawrence Berkeley Natl Lab, Adv Light Source, 1 Cyclotron Rd, Berkeley, CA 94720 USA

来源：

JOURNAL OF SYNCHROTRON RADIATION | 2022年 / 29卷

关键词：

X-ray; mirror; parabolic; collimator; focusing;

D O I：

10.1107/S1600577522004593

中图分类号：

TH7 [仪器、仪表];

学科分类号：

0804 ; 080401 ; 081102 ;

摘要：

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.

引用

页码：985 / 990

页数：6

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