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

中国物理B ›› 2012, Vol. 21 ›› Issue (6): 64701-064701.doi: 10.1088/1674-1056/21/6/064701

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

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

高穹^a, 易仕和^b, 姜宗福^a, 赵玉新^b, 谢文科^a

a. College of Photon-Electron Science and Engineering, National University of Defense Technology, Changsha 410073, China;
b. College of Aerospace and Material Engineering, National University of Defense Technology, Changsha 410073, China

收稿日期:2011-10-17 修回日期:2011-12-06 出版日期:2012-05-01 发布日期:2012-05-01
基金资助:
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).

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

Gao Qiong(高穹)^a)†, Yi Shi-He(易仕和)^b), Jiang Zong-Fu(姜宗福)^a), Zhao Yu-Xin(赵玉新)^b), and Xie Wen-Ke(谢文科)^a)

a. College of Photon-Electron Science and Engineering, National University of Defense Technology, Changsha 410073, China;
b. College of Aerospace and Material Engineering, National University of Defense Technology, Changsha 410073, China

Received:2011-10-17 Revised:2011-12-06 Online:2012-05-01 Published:2012-05-01
Contact: Gao Qiong E-mail:gaoqiong1980@126.com
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: optical path difference, aero-optics, supersonic mixing layer, wavelet, coherent structures, scaling behavior

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

中图分类号: (Supersonic and hypersonic flows)

47.40.Ki

47.80.Jk (Flow visualization and imaging) 47.53.+n (Fractals in fluid dynamics) 42.25.Dd (Wave propagation in random media)

高穹, 易仕和, 姜宗福, 赵玉新, 谢文科. Analysing the structure of the optical path length of a supersonic mixing layer by using wavelet methods[J]. 中国物理B, 2012, 21(6): 64701-064701.

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[J]. Chin. Phys. B, 2012, 21(6): 64701-064701.

参考文献 39

[1]	Gilbert K G and Otten L J 1982 Aero-Optical Phenomena (New York: AIAA)
[2]	Jumper E J and Fitzgerald E J 2001 Prog. Aerospace. Sci. 37 299
[3]	Mani A, Wang M and Moin P 2006 J. Opt. Soc. Am. A 23 3027
[4]	Goodman J W 1996 Introduction to Fourier Optics (New York: McGraw-Hill)
[5]	Trolinger J D 1982 ''Aero-optical characterization of aircraft optical turrets by holography, interferometry and shadowgraph.'' in Gilbert K G and Otten L J (ed.) Aero-Optical Phenomena (New York: AIAA) p. 200
[6]	Malley M, Sutton G W and Kincheloe N 1992 Appl. Opt. 31 4440
[7]	Hugo R J and Jumper E J 1996 Appl. Opt. 35 4436
[8]	Abado S, Gordeyev S and Jumper E J 2009 Proc. SPIE 7466 746602
[9]	Dimotakis P E, Catrakis H J and Fourguette D C 2001 J. Fluid Mech. 433 105
[10]	Zubair F R and Catrakis H J 2007 AIAA J. 45 1663
[11]	Truman C R and Lee M J 1990 Phys. Fluids A 2 851
[12]	Mani A, Moin P and Wang M 2009 J. Fluid Mech. 625 273
[13]	Fitzgerald E J and Jumper E J 2004 J. Fluid Mech. 512 153
[14]	Yi S H, Zhao Y X, He L, Cheng Z Y and Tian L F 2007 Chin. Conf. Theor. Appl. Mech. p. 190
[15]	Zhao Y X 2008 ''Experimental study of the spatiotemporal structure of supersonic mixing layer'' Ph. D Dissertation Changsha, National University of Defense Technology (in Chinese)
[16]	Zhao Y X, Yi S H, Tian L F and Cheng Z Y 2009 Sci. Chin. E 52 3640
[17]	Tian L F, Yi S H, Zhao Y X, He L and Cheng Z Y 2009 Sci. Chin. G 52 1357
[18]	Gao Q, Jiang Z F, Yi S H and Zhao Y X 2010 Appl. Opt. 49 3786
[19]	Meneveau C 1991 J. Fluid Mech. 232 469
[20]	Farge M 1992 Ann. Rev. Fluid Mech. 24 395
[21]	Farge M 1999 Phys. Fluids A 11 2187
[22]	Farge M 2001 Phys. Rev. Lett. 87 054501
[23]	Farge M, Schneider K, Pellegrino G, Wray A A and Rogallo R S 2003 Phys. Fluids A 15 2886
[24]	Ruppert-Felsot J, Farge M and Petitjeans P 2007 J. Fluid Mech. 636 427
[25]	Schneider K and Vasilyev O V 2010 Ann. Rev. Fluid Mech. 42 473
[26]	Daubechies I 1992 Ten Lectures on Wavelets (Philadelphia: SIAM)
[27]	Mallat S. A 2003 Wavelet Tour of Signal Processing (Singapore: Elsevier)
[28]	Donoho D Wavelab http://www-stat.stanford.edu/ ～ wavelab
[29]	Mandelbrot B 1974 J. Fluid Mech. 62 331
[30]	Meneveau C and Sreenivasan K R 1991 J. Fluid Mech. 224 429
[31]	Sreenivasan K R 1991 Ann. Rev. Fluid Mech. 23 539
[32]	Halsey T C, Jensen M H, Kadanoff L P, Procaccia I and Shraiman B I 1986 Phys. Rev. A 33 1141
[33]	Muzy J F, Bacry E and Arneodo A 1991 Phys. Rev. Lett. 67 3515
[34]	Muzy J F, Bacry E and Arneodo A 1993 Phys. Rev. E 47 875
[35]	Arneodo A, Bacry E and Muzy J F 1995 Physica A 213 232
[36]	Audit B, Bacry E, Muzy J F and Arneodo 2002 IEEE Trans. Inform. Theor. 48 2938
[37]	Gao Q, Liao T H and Cui Y F 2008 Chin. Phys. B 17 2018
[38]	Azzalini A, Farge M and Schneider K 2005 Appl. Comput. Harmon. Anal. 18 177
[39]	Ruppert-Felsot J E, Praud O, Sharon E and Swinney H L 2005 Phys. Rev. E 72 016311

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

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

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