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Optical Engineering

Bundle separation, obstructions to perfect imaging, and other qualitative aspects of simultaneous multiple surface design
Author(s): Robert A. Hicks; Sarah G. Rody; J. Douglas Wright
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Paper Abstract

We investigate the qualitative aspects of the simultaneous multiple surface (SMS) design method. The SMS method is a powerful and complex tool, whose abilities and limitations we feel are not yet fully understood. Here, we view the SMS method as an iterative dynamical system, consider the physical boundaries on which the method applies and show that in some cases, attractors occur on the boundaries of these regions. One consequence of our viewpoint is numerical evidence of the impossibility of perfectly imaging three points to three points using only two reflectors. Another consequence is that SMS may be viewed as a means for designing a primary component that essentially separates the bundles in such a way that a continuous secondary component exists that images the two separate bundles appropriately. In other words, a clever choice of the primary component decouples the problem.

Paper Details

Date Published: 17 December 2013
PDF: 7 pages
Opt. Eng. 53(3) 031309 doi: 10.1117/1.OE.53.3.031309
Published in: Optical Engineering Volume 53, Issue 3
Show Author Affiliations
Robert A. Hicks, Drexel Univ. (United States)
Sarah G. Rody
J. Douglas Wright, Drexel Univ. (United States)

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