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

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.

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

Received: 17 October 2011
Revised: 06 December 2011
Accepted manuscript online:

PACS:	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

Cite this article:

Gao Qiong(高穹), Yi Shi-He(易仕和), Jiang Zong-Fu(姜宗福), Zhao Yu-Xin(赵玉新), and Xie Wen-Ke(谢文科) Analysing the structure of the optical path length of a supersonic mixing layer by using wavelet methods 2012 Chin. Phys. B 21 064701

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

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