Research Paper: A Numerical Generation of Gaussian and Non-Gaussian Isotropic/Anisotropic Rough Surfaces

Document Type : Research Paper

Author

Assistant Professor, Department of Physics, West Tehran Branch, Islamic Azad University, Tehran, Iran

Abstract

In the present study, the computer simulation has been used to generate the (1+1) and (2+1) surfaces with two types of correlation function Gaussian and correlation function Exponential forms. For this aim, a random number generator is used to generate the surfaces with Gaussian height distribution with zero mean, and their correlation functions were assumed to have Gaussian and exponential formulas. The calculations have been done for isotropic and anisotropic surfaces.  For monofractal evaluation of rough surfaces, skewness and kurtosis values have been calculated for these (1+1) and (2+1) dimensional surfaces. Moreover, these values have been analyzed by the behavior of probability distribution of height. Also, the Hurst exponents of surfaces have been evaluated to study the irregularity and jaggedness of produced surfaces. Furthermore, the fractal dimension of these rough surfaces has been obtained to describe the complexity of the irregular fractal surfaces.

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References

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History

  • Receive Date: 31 December 2023
  • Revise Date: 23 March 2024
  • Accept Date: 13 May 2024

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