Weroński Paweł
Jerzy Haber Institute of Catalysis and Surface Chemistry, Polish Academy of Sciences, Niezapominajek 8, PL-30239, Krakow, Poland.
Sci Rep. 2018 Oct 30;8(1):16045. doi: 10.1038/s41598-018-34446-z.
We have presented a quantitative analysis of roughness of planar surfaces decorated with randomly distributed, cylindrical pillars, disks, or cavities. We have described the roughness in terms of the surface power spectral density (PSD). First, we have derived a general equation for the PSD of such surfaces. Then, we have found the PSD for the special case of statistically isotropic, circular areas. We have demonstrated that the PSD provides quantitative information on the radius of the circular area, dimensions of the pillar, and surface coverage. We have also discussed the numerical method of extracting the parameters from experimental PSD data obtained from discrete Fourier transform of surface scanning measurements.
我们对装饰有随机分布的圆柱形支柱、圆盘或孔洞的平面表面粗糙度进行了定量分析。我们根据表面功率谱密度(PSD)描述了粗糙度。首先,我们推导了此类表面PSD的通用方程。然后,我们找到了统计各向同性圆形区域这一特殊情况的PSD。我们证明了PSD提供了关于圆形区域半径、支柱尺寸和表面覆盖率的定量信息。我们还讨论了从表面扫描测量的离散傅里叶变换获得的实验PSD数据中提取参数的数值方法。