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Proceedings Paper

Imaging equations for spectroscopic systems using Lie transformations: II. Multielement systems
Author(s): Christopher A. Palmer; Benjamin S. Wheeler; Wayne R. McKinney
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Paper Abstract

We consider the Lie transformation for a general multi- element optical system, and derive expressions for the primary imaging conditions. In order to reduce the computational complexity of the Lie method, which produces successively more complicated expressions after each elementary transformation, we propose a simplified transformation method that makes repeated use of the single- element transformations. The simplified method is applied to a two-element example (the Monk-Gillieson monochromator), and the way is shown for the extension of the method to three or more elements.

Paper Details

Date Published: 24 September 1998
PDF: 11 pages
Proc. SPIE 3450, Theory and Practice of Surface-Relief Diffraction Gratings: Synchrotron and Other Applications, (24 September 1998); doi: 10.1117/12.323410
Show Author Affiliations
Christopher A. Palmer, Richardson Grating Lab. (United States)
Benjamin S. Wheeler, Hewlett-Packard Co. (United States)
Wayne R. McKinney, Lawrence Berkeley National Lab. (United States)


Published in SPIE Proceedings Vol. 3450:
Theory and Practice of Surface-Relief Diffraction Gratings: Synchrotron and Other Applications
Wayne R. McKinney; Christopher A. Palmer, Editor(s)

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