研究目的
Investigating the roughness of planar surfaces decorated with randomly distributed, cylindrical pillars, disks, or cavities using surface power spectral density (PSD).
研究成果
The PSD provides valuable quantitative information on the parameters of surfaces decorated with randomly distributed pillars, including the radius of the area, dimensions of the pillar, and surface coverage. The method allows for the design and production of surfaces with controlled roughness.
研究不足
The study is limited to planar surfaces decorated with randomly distributed, cylindrical pillars, disks, or cavities. The analysis assumes non-overlapping, monodisperse pillars and may not fully account for correlations between pillar positions at high surface coverages.
1：Experimental Design and Method Selection:
The study involves deriving a general equation for the PSD of surfaces decorated with randomly distributed pillars and analyzing the PSD for statistically isotropic, circular areas.
2：Sample Selection and Data Sources:
Virtual systems of pillars are created according to the RSA model for numerical verification.
3：List of Experimental Equipment and Materials:
The study uses numerical methods and software (FFTW library) for discrete Fourier transform calculations.
4：Experimental Procedures and Operational Workflow:
Height measurements of virtual pillar systems are taken at grid points, and PSD is calculated through discrete Fourier transform.
5：Data Analysis Methods:
The PSD data is fitted to theoretical models to extract parameters like pillar radius, disk radius, and surface coverage.
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