Neutron supermirrors: an accurate theory for layer thickness computation

Michael Bray

doi:10.1117/12.448075

8 November 2001 Neutron supermirrors: an accurate theory for layer thickness computation

Michael Bray

Proceedings Volume 4509, Neutron Optics; (2001) https://doi.org/10.1117/12.448075
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

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.

Citation Download Citation

Michael Bray "Neutron supermirrors: an accurate theory for layer thickness computation", Proc. SPIE 4509, Neutron Optics, (8 November 2001); https://doi.org/10.1117/12.448075

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available