Diaboloidal mirrors : algebraic solution and surface shape approximations

A new type of optical element that can focus a cylindrical wave to a point focus (or vice versa) is analytically described. Such waves are, for example, produced in a beamline where light is collimated in one direction and then doubly focused by a single optic. A classical example in X-ray optics is...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:Journal of synchrotron radiation. - 1994. - 28(2021), Pt 4 vom: 01. Juli, Seite 1031-1040
1. Verfasser: Yashchuk, Valeriy V (VerfasserIn)
Weitere Verfasser: Goldberg, Kenneth A, Lacey, Ian, McKinney, Wayne R, Sanchez Del Rio, Manuel, Padmore, Howard A
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2021
Zugriff auf das übergeordnete Werk:Journal of synchrotron radiation
Schlagworte:Journal Article X-ray optics analytical solution diaboloidal mirror shape approximation
Beschreibung
Zusammenfassung:A new type of optical element that can focus a cylindrical wave to a point focus (or vice versa) is analytically described. Such waves are, for example, produced in a beamline where light is collimated in one direction and then doubly focused by a single optic. A classical example in X-ray optics is the collimated two-crystal monochromator, with toroidal mirror refocusing. The element here replaces the toroid, and in such a system provides completely aberration free, point-to-point imaging of rays from the on-axis source point. We present an analytic solution for the mirror shape in its laboratory coordinate system with zero slope at the centre, and approximate solutions, based on bending an oblique circular cone and a bent right circular cylinder, that may facilitate fabrication and metrology
Beschreibung:Date Revised 02.07.2021
published: Print-Electronic
Citation Status PubMed-not-MEDLINE
ISSN:1600-5775
DOI:10.1107/S1600577521004860