ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
Prev
Next
|
|
|
Temporal evolution of optical path difference of a supersonic turbulent boundary layer |
Gao Qiong (高穹)a, Yi Shi-He (易仕和)b, Jiang Zong-Fu (姜宗福)a, He Lin (何霖)b, 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 |
|
|
Abstract The density distribution of a supersonic turbulent boundary layer is measured with the nanoparticle-based planar laser scattering technique, and the temporal evolution of its optical path difference (OPD) in a short time interval is characterized by proper orthogonal decomposition (POD). Based on the advantage of POD in capturing the energy of a signal, a temporal evolution model is suggested for the POD coefficients of OPD. In this model, the first few coefficients vary linearly with time, and the others are modeled by Gaussian statistics. As an application, this method is used to compute the short-exposure optical transfer function.
|
Received: 13 June 2012
Revised: 04 September 2012
Accepted manuscript online:
|
PACS:
|
42.25.Dd
|
(Wave propagation in random media)
|
|
47.40.Ki
|
(Supersonic and hypersonic flows)
|
|
Fund: Project supported by the Innovation Research Foundations for Postgraduates of National University of Defense Technology and Hunan Province, China 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), He Lin (何霖), Xie Wen-Ke (谢文科) Temporal evolution of optical path difference of a supersonic turbulent boundary layer 2013 Chin. Phys. B 22 014202
|
[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] |
Wang W, Mani A and Gordeyev S 2012 Ann. Rev. Fluid. Mech. 44 299
|
[4] |
Stine H A and Winovitch W 1956 NACA Res. Mem. A56B21
|
[5] |
Gordeyev S, Jumper E J, Ng T T and Cain A B 2003 AIAA paper 2003-3606
|
[6] |
Gordeyev S, Cress J A and Jumper E J, Aero-Optical Properties of Subsonic, Turbulent Boundary Layers (preprint)
|
[7] |
Gordeyev S, Jumper E J and Hayden T E 2011 AIAA paper 2011-1325
|
[8] |
Malley M, Sutton G W and Kincheloe N 1992 Appl. Opt. 31 4440
|
[9] |
Hugo R J and Jumper E J 1996 Appl. Opt. 35 4436
|
[10] |
Wyckham C M and Smith A J 2006 AIAA paper 2006-3067
|
[11] |
Truman C R and Lee M J 1992 AIAA paper 1992-2817
|
[12] |
Tromeur E, Garnier E and Sagaut P 2006 J. Turbulence 7 1
|
[13] |
Wang K and Wang W 2011 AIAA paper 2011-3278
|
[14] |
Zhao Y X, Yi S H, Tian L F and Cheng Z Y 2009 Sci. China Ser. E 52 3640
|
[15] |
Gao Q, Yi S H, Jiang Z F, He L and Zhao Y X 2012 Opt. Express 20 16494
|
[16] |
Yi S H, Tian L F, Zhao Y X, He H and Cheng Z Y 2010 Chin. Sci. Bull. 55 3545
|
[17] |
Gao Q, Jiang Z F, Yi S H and Zhao Y X 2010 Appl. Opt. 49 3786
|
[18] |
Gao G, Yi S H, Jiang Z F, Zhao Y X and Xie W K 2012 Chin. Phys. B 21 064701
|
[19] |
Mallat S A 2003 Wavelet Tour of Signal Processing (Singapore: Elsevier)
|
[20] |
Berkooz G, Holmes P and Lumley J L 1993 Ann. Rev. Fluid Mech. 25 539
|
[21] |
Holmes P, Lumley J L and Berkooz G 1996 Turbulence, Coherent Structures, Dynamical Systems and Symmetry (Cambridge: Cambridge University Press)
|
[22] |
Tian L F, Yi S H, Zhao Y X, He L and Cheng Z Y 2009 Sci. China Ser. G 52 1357
|
[23] |
Smits A J, Spina E F, Alving A E, Smith R W, Fernando E M and Donovan J F 1989 Phys. Fluids A 1 1865
|
[24] |
Poggie J, Erbland P J, Smits A J and Miles R B 2004 Exp. Fluids 37 438
|
[25] |
Williams C W and Becklund O A 1989 Introduction to the Optical Transfer Function (New York: John Wiley & Sons)
|
[26] |
Goodman J W 1996 Introduction to Fourier Optics (New York: McGraw-Hill)
|
[27] |
Goodman J W 2007 Speckle Phenomena in Optics: Theory and Applications (Englewood: Ben Roberts & Company)
|
[28] |
Steinmetz W J 1982 Aero-Optical Phenomena (New York: AIAA) pp. 78-100
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|