Analysis of Spatial Distribution of Hexagonal Patterns Based on Fourier Spectra and Spatial Correlation Function

The image analysis technology including Fast Fourier transform and spatial correlation functions are employed to investigate the spatial distribution of some hexagonal patterns obtained in dielectric barrier discharge system. Through Fast Fourier Transform, it is found that the wave vector increases with driving voltage increasing. Through spatial correlation functions calculation to the patterns, it is found that the deviation from perfect hexagonal structure changes with increasing driving voltage.