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Temporal evolution of the optical path difference of a supersonic turbulent boundary layer 下载免费PDF全文
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 the 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 shortexposure optical transfer function. 相似文献
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The classical Gerchberg--Saxton algorithm is introduced into the image
recovery in fractional Fourier domain after adaptation. When this algorithm
is applied directly, its performance is good for smoothed image, but bad for
unsmoothed image. Based on the diversity of fractional Fourier transform on
its orders, this paper suggests a novel iterative algorithm, which extracts
the information of the original image from amplitudes of its fractional
Fourier transform at two orders. This new algorithm consists of two
independent Gerchberg--Saxton procedures and an averaging operation in each
circle. Numerical simulations are carried out to show its validity for both
smoothed and unsmoothed images with most pairs of orders in the interval [0,
1]. 相似文献
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This paper is a further work of the authors' paper published previously (Liao T H and Gao Q 2005 Chin. Phys. Lett. 22 2316). The amplitudes of fractional Fourier transform of Cantor sets are analysed from the viewpoint of multifractal by wavelet transform maxima method (WTMM). An integral operation is carried out before the application of WTMM, such that the function obtained can be considered as the perturbed devil staircase. Also, wavelets with large number of vanishing moments are used, which makes the complete singularity spectrum more accessible. The validity of multifractal formalism is guaranteed by restricting parameter q to a proper range, so that the phenomenon of multifractal phase transition can be explained reasonably. Particularly, the method of determining the range of parameter q in the above paper is developed to be more operational and rigorous. 相似文献
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基于Zernike模式的波前重构算法通常忽略实际波前像差构成的差异, 而用一定数量的低阶Zernike模式进行波前重构, 导致模式混淆或耦合等问题, 进而影响波前重构的精度. 根据信息论中的最小描述长度准则对重构模型的阶数进行了选择, 在此基础上应用非线性优化算法计算重构系数, 并最终实现波前重构; 对不同信噪比条件下振幅均匀分布入射光束的波前进行了重构. 结果表明: 该算法不但能够实现相对于现有算法相对较高的波前重构精度, 并且具有优良的噪声适应性, 体现了模型选择在模式法波前重构算法中的意义. 相似文献
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Analysing the structure of the optical path length of a supersonic mixing layer by using wavelet methods 下载免费PDF全文
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. 相似文献
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考虑到大气中吸收系数随高度变化,通过内插法得到不同大气模型一定高度下大气的吸收系数,建立序列脉冲激光在地对空垂直传输的热晕模型。通过数值计算方法分析风场渡越时间内脉冲数为2时的序列脉冲在中纬度地区夏季和冬季、热带地区、近北极地区夏季和冬季5种大气模型下的热晕效应。结果表明:当光束孔径为0.25 m,初始功率为200 kW,波形为高斯状的激光束在近北极冬季传输10 km后沿横轴方向光强峰值偏移0.056 9 m,而热带光强峰值强度偏移最远为0.224 m,为近北极冬季时的4倍;脉冲激光在热带传输10 km后的靶面功率仅为15.06 kW,近北极冬季靶面功率为热带的10.5倍。热带地区的热晕效应最明显,中纬度地区次之,近北极地区最弱。激光在夏季传输要比冬季传输的热晕效应严重,而且近北极地区夏季要比中纬度地区冬季的热晕效应更严重。 相似文献
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Universal form of the power spectrum of the aero-optical aberration caused by the supersonic turbulent boundary layer 下载免费PDF全文
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. 相似文献
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A new kind of multifractal is constructed by fractional Fourier transform of Cantor sets. The wavelet transform modulus maxima method is applied to calculate the singularity spectrum under an operational definition of multifractal. In particular, an analysing procedure to determine the spectrum is suggested for practice. Nonanalyticities of singularity spectra or phase transitions are discovered, which are interpreted as some indications on the range of Boltzmann temperature q, on which the scaling relation of partition function holds. 相似文献
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