Imaging equations for spectroscopic systems using Lie transformations: II. Multielement systems

Christopher A. Palmer; Benjamin S. Wheeler; Wayne R. McKinney

doi:10.1117/12.323410

24 September 1998 Imaging equations for spectroscopic systems using Lie transformations: II. Multielement systems

Christopher A. Palmer, Benjamin S. Wheeler, Wayne R. McKinney

Proceedings Volume 3450, Theory and Practice of Surface-Relief Diffraction Gratings: Synchrotron and Other Applications; (1998) https://doi.org/10.1117/12.323410
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1998, San Diego, CA, United States

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.

Citation Download Citation

Christopher A. Palmer, Benjamin S. Wheeler, and Wayne R. McKinney "Imaging equations for spectroscopic systems using Lie transformations: II. Multielement systems", Proc. SPIE 3450, Theory and Practice of Surface-Relief Diffraction Gratings: Synchrotron and Other Applications, (24 September 1998); https://doi.org/10.1117/12.323410

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