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Proceedings Paper

Neutron supermirrors: an accurate theory for layer thickness computation
Author(s): Michael Bray
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Paper Abstract

We present a new theory for the computation of Super-Mirror stacks, using accurate formulas derived from the classical optics field. Approximations are introduced into the computation, but at a later stage than existing theories, providing a more rigorous treatment of the problem. The final result is a continuous thickness stack, whose properties can be determined at the outset of the design. We find that the well-known fourth power dependence of number of layers versus maximum angle is (of course) asymptotically correct. We find a formula giving directly the relation between desired reflectance, maximum angle, and number of layers (for a given pair of materials). Note: The author of this article, a classical opticist, has limited knowledge of the Neutron world, and begs forgiveness for any shortcomings, erroneous assumptions and/or misinterpretation of previous authors' work on the subject.

Paper Details

Date Published: 8 November 2001
PDF: 12 pages
Proc. SPIE 4509, Neutron Optics, (8 November 2001); doi: 10.1117/12.448075
Show Author Affiliations
Michael Bray, MB Optique (France)

Published in SPIE Proceedings Vol. 4509:
Neutron Optics
James L. Wood; Ian S. Anderson, Editor(s)

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