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Chin. Phys. B, 2014, Vol. 23(10): 104201    DOI: 10.1088/1674-1056/23/10/104201

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
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.
Keywords:  aero-optics      supersonic turbulent boundary layer      optical path difference      power spectrum  
Received:  05 December 2013      Revised:  10 February 2014      Accepted manuscript online: 
PACS:  42.25.Dd (Wave propagation in random media)  
  47.40.Ki (Supersonic and hypersonic flows)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61008037) and the National Basic Research Program of China (Grant No. 2009CB724100).
Corresponding Authors:  Gao Qiong     E-mail:
About author:  42.25.Dd; 47.40.Ki

Cite this article: 

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 2014 Chin. Phys. B 23 104201

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