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

Based on the measurement of one-dimensional （1D） optical path difference （OPD） of the supersonic turbulent bound- ary 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 u...

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Bibliographic Details
Published in:Chinese physics B 2014-10, Vol.23 (10), p.118-123
Main Author: 高穹 易仕和 姜宗福
Format: Article
Language:English
Subjects:
Aberration
Mathematical analysis
Mathematical models
Optical paths
Statistics
Supersonic aircraft
Turbulent boundary layer
Two dimensional
像差
功率谱
各向同性
应用程序
数值模拟
气动光学
湍流边界层
超音速
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Summary:Based on the measurement of one-dimensional （1D） optical path difference （OPD） of the supersonic turbulent bound- ary 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.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/23/10/104201