X-Ray Reflectivity of Fibonacci Multilayers

Details X-Ray Reflectivity of Fibonacci Multilayers X-Ray Reflectivity of Fibonacci Multilayers

1995-02-15

arxiv.org/abs/cond-mat/9502064v1

Physics

Condensed Matter

8 pages, REVTeX 3.0, 3 figures available upon request from fimat04@emducms1.sis.ucm.es. To appear in Physics Letters A

Scientific paper

10.1016/0375-9601(95)00170-8

We have numerically computed the reflectivity of X-ray incident normally onto Fibonacci multilayers, and compared the results with those obtained in periodic approximant multilayers. The constituent layers are of low and high refractive indices with the same thickness. Whereas reflectivity of periodic approximant multilayers changes only slightly with increasing the number of layers, Fibonacci multilayers present a completely different behaviour. In particular, we have found a highly-fragmented and self-similar reflectivity pattern in Fibonacci systems. The behaviour of the fragmentation pattern on increasing the number of layers is quantitatively described using multifractal techniques. The paper ends with a brief discussion on possible practical applications of our results in the design of new X-ray devices.

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