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0038-1098(96)00484-X


    Slope-slope correlations for self-affine rough surfaces

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

a GSA Research and Development Center 13600 Amygdaleza-Aharnes Greece

Received 12 February 1996; accepted 7 August 1996. Available online 10
February 1999.


    Abstract

The slope-slope correlation function N(r) is investigated for
self-affine rough surfaces. Calculations of N(r) are performed in terms
of analytic phenomenological height-height correlation functions, which
however compare well to real data. It is found that N(r) behaves as:
N(r) proportional to r2(H-1) for 0 << r << small xi, Greek, N(r) < 0 for
r < small xi, Greek and N(r) rightwards arrow 0- for r rightwards arrow
+ infinity. The parameters small xi, Greek and H (0 < H < 1) are
respectively the in-plene roughness correlation length, and the
roughness exponent. Moreover, connection of the results to model
predictions describing stable and unstable growth is attempted.

Index Terms: Surface roughness; Correlation methods; Parameter
estimation; Film growth; Mathematical models; Epitaxial growth; Crystal
orientation; Slope correlations; Affine rough surfaces; Analytic
phenomenological height

* <#bcor*>Corresponding author.

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