Diffraction properties of recursive surface fractals

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.

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Year of publication:	1989
Authors:	Allain, C. ; Cloitre, M.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 157.1989, 1, p. 352-355
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010586773