Analysing the structure of the optical path length of a supersonic mixing layer by using wavelet methods

doi:10.1088/1674-1056/21/6/064701

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Abstract The nano-particle-based planar laser scattering (NPLS) technique is used to measure the density distribution in the supersonic mixing layer of the convective Mach number 0.12, and the optical path difference (OPL), which is quite crucial for the study of aero-optics, is obtained by post processing. Based on the high spatiotemporal resolutions of the NPLS, the structure of the OPL is analysed using wavelet methods. The coherent structures of the OPL are extracted using three methods, including the methods of thresholding the coefficients of the orthogonal wavelet transform and the wavelet packet transform, and preserving a number of wavelet packet coefficients with the largest amplitudes determined by the entropy dimension. Their performances are compared, and the method using the wavelet packet is the best. Based on the viewpoint of multifractals, we study the OPL by the wavelet transform maxima method (WTMM), and the result indicates that its scaling behaviour is evident.

Key words： optical path difference aero-optics supersonic mixing layer wavelet coherent structures scaling behavior

Received: 17 October 2011

:	47.40.Ki	(Supersonic and hypersonic flows)
	47.80.Jk	(Flow visualization and imaging)
	47.53.+n	(Fractals in fluid dynamics)
	42.25.Dd	(Wave propagation in random media)

Fund:Projected supported by the Innovation Research Foundations for Postgraduates of National University of Defense Technology and Hunan Province, and the National Natural Science Foundation of China (Grant No. 61008037).

Corresponding Authors: Gao Qiong

E-mail: gaoqiong1980@126.com

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	Gao Qiong
	Yi Shi-He
	Jiang Zong-Fu
	Zhao Yu-Xin
	Xie Wen-Ke

Cite this article:

Gao Qiong,Yi Shi-He,Jiang Zong-Fu et al . Analysing the structure of the optical path length of a supersonic mixing layer by using wavelet methods[J]. Chin. Phys. B, 2012, 21(6):064701.

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http://cpb.iphy.ac.cn/EN/10.1088/1674-1056/21/6/064701 OR http://cpb.iphy.ac.cn/EN/Y2012/V21/I6/64701

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