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0038-1098(96)00487-5


    A study of (1 + 1)-dimensional height-height correlation functions
    for self-affine fractal morphologies

G. Palasantzasa <#orfa>, * <#cor*>

a GSA Research and Development Center, Amygdaleza-Aharnes 13600 Athens
Greece

Received 18 April 1996; accepted 7 August 1996. Available online 10
February 1999.


    Abstract

We study analytic forms in Fourier space of one-dimensional
height-height correlation functions for self-affine rough surfaces.
Comparisons with complex systems suggest three alternative models.
However, only the model C1(k) proportional to (1 + amidkmidsmall xi,
Greek)-(1+2H) permits analytic calculation of important surface
roughness quantities (i.e. surface width) for roughness exponents in
range 0 less-than or equal toHless-than or equal to1. Furthermore, the
implications of the results to experimental roughness studies by means
of STM-AFM are discussed.

Index Terms: Surface roughness; Fractals; Morphology; Fourier
transforms; Atomic force microscopy; Scanning electron microscopy;
Correlation methods; Self affine fractal morphologies; Height height
correlation function

* <#bcor*>Corresponding author.

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