20 May 2009 Image analysis of complex patterns in nonlinear optical system
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In this paper, several methods of image analysis such as fast Fourier transform, power spectrum, and t phase angle, have been used to a pattern formation system to get the features of their own. Complex patterns such as hexagon, quasi-crystal, and superlattice patterns have been analyzed. The mechanisms of all stationary patterns are attributed to Turing instability. These patterns have a unique characteristic wave number that equals to Turing mode. It is found that these complex structures are composed of two simple component hexagonal pattern that are co-rotated by an angle. Both superlattice pattern and quasi-crystal pattern have been constructed as the angle is varied. Another type of superlattice pattern named as super-hexagonal pattern is resulted from interactions between Turing mode and its harmonics.
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Fucheng Liu, Fucheng Liu, Yan Ha, Yan Ha, Xiaofei Wang, Xiaofei Wang, } "Image analysis of complex patterns in nonlinear optical system", Proc. SPIE 7283, 4th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test and Measurement Technology and Equipment, 72833Y (20 May 2009); doi: 10.1117/12.828796; https://doi.org/10.1117/12.828796

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