Diffraction properties of recursive surface fractals

C. Allain and M. Cloitre

Physica A: Statistical Mechanics and its Applications, 1989, vol. 157, issue 1, 352-355

Abstract: We define a general family of self-similar sets that we have called recursive fractals and we calculate their structure factors. Two classes of recursive fractals can be distinguished according to whether the structure factor vanishes or not in the asymptotic limit of infinitely large sets. When it is non-vanishing, the structure factor exhibits noteworthy scaling properties which are derived, here in the particular case of surface fractals.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:157:y:1989:i:1:p:352-355

DOI: 10.1016/0378-4371(89)90323-3

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