Universal form of the power spectrum of the aero-optical aberration caused by the supersonic turbulent boundary layer

doi:10.1088/1674-1056/23/10/104201

›› 2014, Vol. 23 ›› Issue (10): 104201-104201.doi: 10.1088/1674-1056/23/10/104201

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

Universal form of the power spectrum of the aero-optical aberration caused by the supersonic turbulent boundary layer

高穹^a, 易仕和^b, 姜宗福^a

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

收稿日期:2013-12-05 修回日期:2014-02-10 出版日期:2014-10-15 发布日期:2014-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 61008037) and the National Basic Research Program of China (Grant No. 2009CB724100).

Universal form of the power spectrum of the aero-optical aberration caused by the supersonic turbulent boundary layer

Gao Qiong (高穹)^a, Yi Shi-He (易仕和)^b, Jiang Zong-Fu (姜宗福)^a

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

Received:2013-12-05 Revised:2014-02-10 Online:2014-10-15 Published:2014-10-15
Contact: Gao Qiong E-mail:gaoqiong1980@126.com
About author:42.25.Dd; 47.40.Ki
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 61008037) and the National Basic Research Program of China (Grant No. 2009CB724100).

摘要/Abstract

摘要： Based on the measurement of one-dimensional (1D) optical path difference (OPD) of the supersonic turbulent boundary layer, an analytical form for the power spectrum of the two-dimensional (2D) OPD is obtained with its structure function and under the locally homogeneous isotropic assumption. The universality of this spectrum is argued, and its validity is checked by the comparison with experimental result. The potential applications of this model in theoretical and numerical studies are emphasized. Another contribution of this work is around the application of correlation function to analyzing the statistics of OPD. Based on our results and other results published elsewhere, we show that the OPD is often not stationary, and one should be cautious about using this tool.

关键词: aero-optics, supersonic turbulent boundary layer, optical path difference, power spectrum

Abstract: Based on the measurement of one-dimensional (1D) optical path difference (OPD) of the supersonic turbulent boundary layer, an analytical form for the power spectrum of the two-dimensional (2D) OPD is obtained with its structure function and under the locally homogeneous isotropic assumption. The universality of this spectrum is argued, and its validity is checked by the comparison with experimental result. The potential applications of this model in theoretical and numerical studies are emphasized. Another contribution of this work is around the application of correlation function to analyzing the statistics of OPD. Based on our results and other results published elsewhere, we show that the OPD is often not stationary, and one should be cautious about using this tool.

Key words: aero-optics, supersonic turbulent boundary layer, optical path difference, power spectrum

中图分类号: (Wave propagation in random media)

42.25.Dd

47.40.Ki (Supersonic and hypersonic flows)

高穹, 易仕和, 姜宗福. Universal form of the power spectrum of the aero-optical aberration caused by the supersonic turbulent boundary layer[J]. , 2014, 23(10): 104201-104201.

Gao Qiong (高穹), Yi Shi-He (易仕和), Jiang Zong-Fu (姜宗福). Universal form of the power spectrum of the aero-optical aberration caused by the supersonic turbulent boundary layer[J]. Chin. Phys. B, 2014, 23(10): 104201-104201.

参考文献 0


[1]	Gilbert K G and Otten L J 1982 Aero-Optical Phenomena (New York: AIAA)

[2]	Sutton G W 1985 AIAA J. 23 1525 doi: 10.2514/3.9120

[3]	Jumper E J and Fitzgerald E J 2001 Prog. Aerospace. Sci. 37 299 doi: 10.1016/S0376-0421(01)00008-2

[4]	Wang W, Mani A and Gordeyev S 2012 Ann. Rev. Fluid. Mech. 44 299 doi: 10.1146/annurev-fluid-120710-101152

[5]	Gordeyev S, Jumper E J, Ng T T and Cain A B 2003 AIAA Paper 2003-3606

[6]	Malley M, Sutton G W and Kincheloe N 1992 Appl. Opt. 31 4440 doi: 10.1364/AO.31.004440

[7]	Wittich D, Gordeyev S and Jumper E 2007 AIAA Paper 2007-4009

[8]	Smith A E, Gordeyev S and Jumper E 2012 Proc. SPIE 8395 83950C

[9]	Wang K and Wang M 2012 J. Fluid Mech. 696 122 doi: 10.1017/jfm.2012.11

[10]	Wyckham C M and Smits A J 2007 AIAA Paper 2006-3067

[11]	Gordeyev S, Jumper E and Hayden T E 2012 AIAA J. 50 682 doi: 10.2514/1.J051266

[12]	Zhao Y X, Yi S H, Tian L F and Cheng Z Y 2009 Sci. China Ser. E 52 3640 doi: 10.1007/s11431-009-0281-3

[13]	He L, Yi S H, Zhao Y X, Tian L F and Chen Z 2011 Sci. China Ser. G 54 1702

[14]	He L, Yi S H, Zhao Y X, Tian L F and Chen Z 2011 Chin. Sci. Bull. 56 489 doi: 10.1007/s11434-010-4312-z

[15]	Gao Q, Yi S H, Jiang Z F, He L and Zhao Y X 2012 Opt. Express 20 16494 doi: 10.1364/OE.20.016494

[16]	Tian L F, Yi S H, Zhao Y X, He L and Cheng Z Y 2009 Sci. China Ser. G 52 1357 doi: 10.1007/s11433-009-0180-4

[17]	Ye Q X and Shen Y H (ed.) 2006 Practical Handbook of Mathematics (Beijing, Science Press)

[18]	Ganapathisubramani B, Clemens N T and Dolling D S 2006 J. Fluid Mech. 556 271 doi: 10.1017/S0022112006009244

[19]	Hutchins N and Marusic I 2007 J. Fluid Mech. 579 1 doi: 10.1017/S0022112006003946

[20]	Ringuette M J, Wu M and Martin M P 2008 J. Fluid Mech. 594 59

[21]	Tatarski V I 1961 Wave Propagation in a Turbulent Medium (New York: McGraw-Hill) pp. 9-43

[22]	Cliff S F 1978 Laser Beam Propagation in the Atmosphere, Strohbehn J W (ed.) (Berlin: Springer-Verlag) pp. 3-26

[23]	Lane R G, Glindemann A and Dainty J C 1992 Waves Rand. Media 2 209 doi: 10.1088/0959-7174/2/3/003

[24]	Frehlich R 2000 Appl. Opt. 39 393 doi: 10.1364/AO.39.000393

[25]	Smits A and Dussauge J 2006 Turbulent Shear Layers in Supersonic Flow (New York: Springer)

[26]	Ganapathisubramani B, Hutchins N, Hambleton W T, Longmire E K and Marusic I 2005 J. Fluid Mech. 524 57 doi: 10.1017/S0022112004002277

Universal form of the power spectrum of the aero-optical aberration caused by the supersonic turbulent boundary layer

Universal form of the power spectrum of the aero-optical aberration caused by the supersonic turbulent boundary layer

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 0

相关文章 13

Metrics

本文评价

推荐阅读 0

[1]	袁毅, 路承彪, 李小俚. Effect of focused ultrasound stimulation at different ultrasonic power levels on the local field potential power spectrum[J]. 中国物理B, 2015, 24(8): 88704-088704.
[2]	汪志云, 陈培杰, 张良英. Resonant behavior of stochastic oscillations of general relativistic disks driven by a memory-damped friction[J]. 中国物理B, 2015, 24(5): 59801-059801.
[3]	胡海豹, 杜鹏, 黄苏和, 王鹰. Extraction and verification of coherent structures in near-wall turbulence[J]. 中国物理B, 2013, 22(7): 74703-074703.
[4]	蔡祥吉, 张延惠, 李宗良, 蒋国辉, 杨秦男, 徐学友. Semiclassical approximation for transmission through open Sinai billiards[J]. Chin. Phys. B, 2013, 22(2): 20501-020501.
[5]	高穹, 易仕和, 姜宗福, 何霖, 谢文科. Temporal evolution of optical path difference of a supersonic turbulent boundary layer[J]. Chin. Phys. B, 2013, 22(1): 14202-014202.
[6]	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.
[7]	韩凯,许晓军,刘泽金. Multi-wavelength laser active coherent combination[J]. 中国物理B, 2012, 21(5): 54205-054205.
[8]	李明全, 陈明君, 安晨辉, 周炼, 程健, 肖勇, 姜伟. Mechanism of micro-waviness induced KH₂PO₄ crystal laser damage and the corresponding vibration source[J]. 中国物理B, 2012, 21(5): 50301-050301.
[9]	常锋, 冯玉玲, 姚治海, 范健, 宋远超, 赵玉柱. Experimental investigation on chaos generation in erbium-doped fiber single-ring lasers[J]. 中国物理B, 2012, 21(10): 100504-100504.
[10]	黎雪刚, 杨坤德, 汪勇. The power spectrum and correlation of flow noise for an axisymmetric body in water[J]. 中国物理B, 2011, 20(6): 64302-064302.
[11]	穆廷魁, 张淳民. A novel polarization interferometer for measuring upper atmospheric winds[J]. 中国物理B, 2010, 19(6): 60702-060702.
[12]	张淳民, 任文艺, 穆廷魁. Effects of optical axis direction on optical path difference and lateral displacement of Savart polariscope[J]. 中国物理B, 2010, 19(2): 24202-024202.
[13]	韩立波, 曹力, 吴大进. Output power spectrum of a single-mode laser driven by coloured pump and quantum noises with coloured correlation[J]. 中国物理B, 2004, 13(10): 1717-1721.