粗糙表面对散斑统计特性的影响

为研究高速摄影中激光相干噪声的影响因素,降低激光照明中散斑噪声对高速摄影成像质量的影响,对激光照射表面的粗糙程度与形成的散斑场统计特性之间的关系进行了研究。基于菲涅尔-基尔霍夫衍射原理,分析了高斯光束入射在随机粗糙表面上经反射形成的散斑图样,通过对大量散斑图样的数据统计,得出了激光散斑的信噪比、自相关函数、概率密度函数与入射表面粗糙度之间的变化关系。计算结果表明：粗糙度的增大使散斑场信噪比降低、相干程度减小、概率密度降低,即表面越粗糙散斑噪声越严重。     

Elastic vibrations of a cylindrical nanotube with the effect of surface stress and surface inertia

Vibration frequency analysis of nanostructures may be essential for study of their thermal conductivity and mechanical characterization. Given the high surface-to-volume ratio, the elastic vibrations of an infinitely long cylindrical nanotube have been studied by considering both the effects of surface stress and that of surface inertia within the framework of surface elasticity. The phonon dispersion and the resonant frequencies for the specific vibration modes have been calculated. Numerical results have indicated that the surface stress and the surface inertia have equally important effect on the vibration behavior of the nanotube that may depend on the vibration modes as well. Due to the surface effect, the vibration modes of lower order by the classical elasticity may be indeed the modes of higher order. The surface effect on the low-frequency Raman shift has also been found.     

Use of the positive-ion potential to analyze doublet states

To compute the geometry of radicals in the ground and excited states of partial type, it is proposed to use a one-electron positive-ion function as cores. The efficiency of the method is illustrated by an example computing the radicals BH₂, NH₂, NH ₃ ⁺ , CH₃, FH₂, for which both self-consistent solutions and solutions using the frozen ion core were obtained in the CNDO/BW approximation. Analysis of the results obtained permits the deduction that the error associated with using non-self-consistent functions does not exceed the error of the method itself.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 15–20, September, 1979.     

High-amplitude vibrations detection on rough surfaces using a photorefractive velocimeter

We present and characterize theoretically and experimentally a photorefractive velocimeter. This device, based on two-wave mixing in a rapid photorefractive crystal, measures the instantaneous velocity of a vibrating target. It is particularly adapted to the measurement of high-amplitude (as high as some mm) low-frequency (until some kHz) vibrations. Instantaneous velocity as high as 25 mm s⁻¹ are expected to be measured with common photorefractive semiconductors and CW lasers.     

Theoretical study of the Kirchhoff integral from a two-dimensional randomly rough surface with shadowing effect: application to the backscattering coefficient for a perfectly-conducting surface

Abstract

In this paper, the backscattering coefficient of a two-dimensional randomly rough perfectly-conducting surface is investigated using the Kirchhoff approach with a shadowing function. The rough surface height/slope correlations assumed to be Gaussian are accounted for in this analysis. The scattering coefficient is then formulated in terms of a characteristic function for the integrations over the surface heights, in terms of expected values for the integrations over the surface slopes. Numerical comparisons of Kirchhoff's approach (KA) with the stationary-phase (SP) approximation are made with respect to the choice of the one-dimensional surface height autocorrelation function and the shadowing effect. For an isotropic surface the results show that SP underestimated the incoherent backscattering coefficient compared with KA. Moreover, when the correlation between the slopes and the heights is neglected, the shadowing effect may be ignored.     

Theoretical study of the Kirchhoff integral from a two-dimensional randomly rough surface with shadowing effect: application to the backscattering coefficient for a perfectly-conducting surface

In this paper, the backscattering coefficient of a two-dimensional randomly rough perfectly-conducting surface is investigated using the Kirchhoff approach with a shadowing function. The rough surface height/slope correlations assumed to be Gaussian are accounted for in this analysis. The scattering coefficient is then formulated in terms of a characteristic function for the integrations over the surface heights, in terms of expected values for the integrations over the surface slopes. Numerical comparisons of Kirchhoff's approach (KA) with the stationary-phase (SP) approximation are made with respect to the choice of the one-dimensional surface height autocorrelation function and the shadowing effect. For an isotropic surface the results show that SP underestimated the incoherent backscattering coefficient compared with KA. Moreover, when the correlation between the slopes and the heights is neglected, the shadowing effect may be ignored.     

The effect of anisotropy of a rough sea surface on the generation of acoustic radiation

A model that relates the frequency-angular characteristics of wind waves on the sea surface to the frequency spectrum of acoustic radiation generated by them is constructed. Based on empirical wave energy distribution functions, it is shown that, in the vicinity of the peak of the wind wave spectrum, the intensity of acoustic radiation strongly depends on the model chosen for the angular distribution function ?(α) and on its parameters. At high frequencies, four to five times higher than the dominant wave frequency, it is possible to assume that, to a first approximation, ?(α) = const. In the intermediate frequency range, between the dominant frequency and the high frequencies, the predominant contribution to the sound radiation is made by the waves that travel in the direction close to orthogonal with respect to the wind.     

Analysis of speckle images to assess surface roughness

Digital speckle images are photographed for different aluminum rough surfaces using a CCD camera. The obtained speckle images are fed to a PC and analyzed making use of the MATLAB program. The computerized binary images are investigated. The signal-to-noise ratio is computed from these numerical images. It is shown that the surface roughness of the examined surfaces is dependent upon the degree of agglomeration of the speckle images.     

Recording a speckle interferogram to control the longitudinal displacement of a diffusively scattering flat surface

The formation of a speckle interferogram under a double-exposure recording of a speckle photograph to reduce the interferometer sensitivity threshold to a longitudinal displacement of a scattering flat surface is analyzed. It is shown that the proposed technique of recording, where a photoplate is displaced transversely before the second exposure, allows us to determine the sign of the longitudinal scatterer displacement. The experimental results obtained are in agreement with the theoretical calculations. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 53–59, July, 2008.     

微粗糙圆柱的各向异性散斑特性研究

分析了高斯光束照射微粗糙圆柱在菲涅尔衍射区形成的散斑图像统计特性,给出了强度起伏自相关函数与表面曲率及粗糙程度等参数之间的关系.根据强度起伏自相关函数的离散化定义,实验并计算了圆柱轴向与径向结构有差异情况下的散斑强度起伏相关函数.结果表明,对于C1和C2圆柱沿垂直于圆柱轴向的散斑尺寸变长,强度起伏自相关函数沿平行和垂直于圆柱轴两个方向的波动相差较大;对于C3和C4圆柱两个方向上的散射特性基本相同;测量C1和C3的结果表明,散斑尺寸和形状依赖于圆柱表面的皱褶和圆柱表面曲率两个因素.研究结果对于如柱型管道、轴承等方面的机械制造的质量控制有重要的应用价值.     

Two-wavelength speckle interferometry on rough surfaces using a mode hopping diode laser

Two measurements performed on rough surfaced objects are described in this paper. The first sample is a mechanical component with a rather difficult accessible surface to be measured. A two-wavelength krypton laser interferometer with an effective wavelength of 36.47 μm has been used. The second example is a convex surface of a ground lens. Here a mode hopping diode laser interferometer with an effective wavelength of 2·020 mm has been used.     

Width of steps on a rough surface

Computer simulation of a rough surface indicates that a relation exists between the experimentally determined degree of roughness of interlayer boundaries and the correlation length, on the one hand, and the characteristic width of atomic steps on the layer interfaces in multilayered structures, on the other hand.     

Quasi-steady-state surface acoustic waves at a rough solid surface

Sound propagation along an inhomogeneous solid-vacuum interface is considered. The frequency-wavenumber relation has been obtained for the transverse-polarized surface wave and the range of existence of this wave has been analyzed. The surface roughness is shown to produce additional damping.     

Study of the possibility to measure the root-mean-square roughness of a shaded rough surface

The estimate of the root-mean-square roughness of a rough surface σ₁ is studied experimentally as a function of the angle of incidence. A surface with σ=1.3 μm is illuminated by laser radiation with a wavelength of 0.633 μm. The angle of incidence of radiation on the surface under study is varied from 85° to 87.5°. σ₁ is estimated under the assumption that the regime of a slightly rough surface is fulfilled for the surface studied. Theoretical estimates of σ₁ are calculated in the Kirchhoff approximation with rough surface shadowing taken into account. The greatest relative difference between experimental and theoretical estimates of σ ₁ does not exceed 0.07. The effect of rough surface shadowing on the estimate of σ is analyzed, and the possibility for exact measurement of σ₁ of a shaded rough surface is demonstrated in the case of a priori knowledge of the angle of incidence, for which this measurement is possible. A method that makes it possible to determine the angle of incidence, for which a good agreement between the measured value and the true value of σ of a shaded rough surface is possible, is proposed.     

CO vibrations on a stepped Ni surface

Electron energy loss spectra (ELS) have been measured after CO adsorption on the stepped Ni[5(111) × (11̄0)] surface as function of substrate temperature and CO exposure. At 150 K and exposures below 0.5 L, only adsorption sites close to the step edges are occupied. Pronounced rearrangements of CO molecules over terrace sites occur by increasing the temperature to 300 K. The occupation of special step sites gives rise to an exceptionally low frequency C-O stretching vibration of 1520 cm⁻¹. This frequency indicative of a weakened C-O bond is correlated with the previously found tendency for CO decomposition to occur on this surface during a flash desorption experiment.     

X-ray scattering from a randomly rough surface

Abstract

On the basis of the method of reduced Rayleigh equations we present a simple and reciprocal theory of the coherent and incoherent scattering of x-rays from one- and two-dimensional randomly rough surfaces, that appears to be free from the limitations of earlier theories of such scattering based on the Born and distorted-wave Born approximations. In our approach, the reduced Rayleigh equation for the scattering amplitude(s) is solved perturbatively, with the small parameter of the theory η(ω) = 1 - ε(ω), where ε(ω) is the dielectric function of the scattering medium. The magnitude of η(ω) for x-rays is in the range from 10^?6 to 10^?3, depending on the wavelength of the x-rays. The contributions to the mean differential reflection coefficient from the coherent and incoherent components of the scattered x-rays are calculated through terms of second order in η(ω). The resulting expressions are valid to all orders in the surface profile function. The results for the incoherent scattering display a Yoneda peak when the scattering angle equals the critical angle for total internal reflection from the vacuum-scattering medium interface for a fixed angle of incidence, and when the angle of incidence equals the critical angle for total internal reflection for a fixed scattering angle. The approach used here may also be useful in theoretical studies of the scattering of electromagnetic waves from randomly rough dielectric-dielectric interfaces, when the difference between the dielectric constants on the two sides of the interface is small.     

Fractal structure of digital speckle patterns produced by rough surfaces

We report on the fractal analysis of digital speckle patterns experimentally generated using an optical setup to record the light scattered from metallic rough surfaces in the normal direction. Using the differential box counting technique, we have calculated the fractal dimension of digital speckle patterns for six samples with different roughness. Our results show a quadratic dependence between the surface roughness and the fractal dimension of the corresponding digital speckle pattern. As an application a method to determine the surface roughness of metallic surfaces is proposed.