Functional Integral Representation Of Rough Surfaces

Gregg M. Gallatin

doi:10.1117/12.962807

20 December 1989 Functional Integral Representation Of Rough Surfaces

Gregg M. Gallatin

Proceedings Volume 1164, Surface Characterization and Testing II; (1989) https://doi.org/10.1117/12.962807
Event: 33rd Annual Technical Symposium, 1989, San Diego, United States

Abstract

A functional integral representation of the statistics of rough surfaces is developed. The assumption of locality, defined in the text, produces a general form for the probability functional which automatically contains the mean square height and correlation length of the surface. The correlation function to lowest order is predicted to be a K0 modified Bessel function for all rough surfaces. The power spectrum obtained from this modified Bessel function Is In good agreement with the measured power spectra of rough surfaces. Fractal behavior occurs naturally due to the anomalous scaling of the correlation functions when higher order terms are included in the calculation.

Citation Download Citation

Gregg M. Gallatin "Functional Integral Representation Of Rough Surfaces", Proc. SPIE 1164, Surface Characterization and Testing II, (20 December 1989); https://doi.org/10.1117/12.962807

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