Image analysis of complex patterns in nonlinear optical system

Fucheng Liu; Yan Ha; Xiaofei Wang

doi:10.1117/12.828796

20 May 2009 Image analysis of complex patterns in nonlinear optical system

Fucheng Liu, Yan Ha, Xiaofei Wang

Proceedings Volume 7283, 4th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test and Measurement Technology and Equipment; 72833Y (2009) https://doi.org/10.1117/12.828796
Event: AOMATT 2008 - 4th International Symposium on Advanced Optical Manufacturing, 2008, Chengdu, Chengdu, China

Abstract

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.

Citation Download Citation

Fucheng Liu, Yan Ha, and 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); https://doi.org/10.1117/12.828796

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