Sediment

Pure mathematics

Materials science

Deposition (geology)

Field (mathematics)

Computer science

Statistical physics

Surface (topology)

Geology

Paleontology

Fractal

Physics

Nanotechnology

Mathematics

Fractal dimension

Characterization (materials science)

Fractal landscape

Thin film

Mathematical analysis

Geometry

Fractal analysis

Fractal dimension on networks

Fractal and Fractional

The topographies of various surfaces have been studied in many fields due to the significant influence that surfaces have on the practical performance of a given sample. A comprehensive evaluation requires the assistance of fractal analysis, which is of significant importance for modern science and technology. Due to the deep insights of fractal theory, fractal analysis on surface topographies has been widely applied and recommended. In this paper, the remarkable uprising in recent decades of fractal analysis on the surfaces of thin films, an essential domain of surface engineering, is reviewed. By summarizing the methods used to calculate fractal dimension and the deposition techniques of thin films, the results and trends of fractal analysis are associated with the microstructure, deposition parameters, etc. and this contributes profoundly to exploring the mechanism of film growth under different conditions. Choosing appropriate methods of surface characterization and calculation methods to study diverse surfaces is the main challenge of current research on thin film surface topography by using fractal theory. Prospective developing trends are proposed based on the data extraction and statistics of the published literature in this field.

Fractal Analysis on Surface Topography of Thin Films: A Review