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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