Journal of Applied Crystallography

Volume 26, Part 4 (August 1993)


research papers



J. Appl. Cryst. (1993). 26, 519-524    [ doi:10.1107/S0021889893000755 ]

Fractal neutron optics multilayers in Cantor ternary set pattern

M. Mâaza, B. Pardo and T. Megademini

Abstract: In the present paper, it is shown that the fractal notion can be used in neutron optics. More specifically, self-similar neutron multilayer mirrors can be made according to the pattern of the Cantor ternary set. These new multilayers have a fractional Hausdorff dimension. The self-similarity gives them new reflectivity properties. Compared with periodic neutron multilayers and supermirrors, these fractal multilayers, with a large number of generations, allow high reflectivity of the order of unity at very short neutron wavelengths.

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