Neutron supermirror explained

A neutron supermirror is a highly polished, layered material used to reflect neutron beams. Supermirrors are a special case of multi-layer neutron reflectors with varying layer thicknesses.[1]

The first neutron supermirror concept was proposed by,[2] inspired by earlier work with X-rays.

Supermirrors are produced by depositing alternating layers of strongly contrasting substances, such as nickel and titanium, on a smooth substrate. A single layer of high refractive index material (e.g. nickel) exhibits total external reflection at small grazing angles up to a critical angle

\thetac

. For nickel with natural isotopic abundances,

\thetac

in degrees is approximately

0.1λ

where

λ

is the neutron wavelength in Angstrom units.

A mirror with a larger effective critical angle can be made by exploiting diffraction (with non-zero losses) that occurs from stacked multilayers.[3] The critical angle of total reflection, in degrees, becomes approximately

0.1λm

, where

m

is the "m-value" relative to natural nickel.

m

values in the range of 1–3 are common, in specific areas for high-divergence (e.g. using focussing optics near the source, choppers, or experimental areas) m=6 is readily available.

Nickel has a positive scattering cross section, and titanium has a negative scattering cross section, and in both elements the absorption cross section is small, which makes Ni-Ti the most efficient technology with neutrons. The number of Ni-Ti layers needed increases rapidly as

\proptomz

, with

z

in the range 2–4, which affects the cost. This has a strong bearing on the economic strategy of neutron instrument design.[4]

Notes and References

  1. Web site: Chupp . T . Neutron Optics and Polarization . 16 April 2019.
  2. Mezei . F. . Novel polarized neutron devices: supermirror and spin component amplifier . Communications on Physics (London) . 1976 . 1 . 3 . 81–85.
  3. Hayter . J. B. . Mook . H. A. . Discrete Thin-Film Multilayer Design for X-ray and Neutron Supermirrors . Journal of Applied Crystallography . 1989 . 22 . 1 . 35–41. 10.1107/S0021889888010003. 1989JApCr..22...35H . 94163755 .
  4. Bentley . P. M. . Instrument suite cost optimisation in a science megaproject . Journal of Physics Communications . 2020 . 4 . 4 . 045014 . 10.1088/2399-6528/ab8a06. 2020JPhCo...4d5014B . free .