Measurements of surface coordinates and slopes by shearography

This paper represents an optical method which is based on speckle-shearing interferometry for the measurement of surface coordinates and slopes. The technique enables generation of carrier fringes which measure surface coordinates, or displacement derivative fringes which measure surface slope. The theory of the method as well as some experimental results are presented.     

Measurements of sea surface slopes by laser sensing from a space vehicle

The measurement errors of dispersions of sea surface slopes using spacecraft lidar were analyzed. The errors caused by deviations of the actual wave field from the Gaussian isotropic surface were considered. It is revealed that the unaccounted deviations of slope distributions from the Gaussian distribution lead to a systematic underestimation of the calculated slope dispersion by approximately 11–14%. In addition, it is revealed that the anisotropy of slopes during their dispersion calculation using the data of vertical laser sensing from space vehicle can be neglected.     

Verification of surface wave solutions obtained by the reciprocity theorem

Surface wave motions generated by a time-harmonic point load applied at the surface of an isotropic linearly elastic half-space are conventionally solved by the use of integral transform techniques. The inverse transforms, are often complicated and will not always yield closed-form solutions. In this paper expressions for the displacements for surface wave motions radiated from point-load excitation are determined in a simple manner by the use of the elastodynamic reciprocity theorem. It is shown that the radiated amplitudes of the surface displacements obtained by the reciprocity approach are identical to the corresponding results obtained by the use of Hankel transform and by Lamb in his classical paper.     

水下声辐射激励水表面声波的特征参数测量

采用激光干涉方法对水下声辐射激励水表面声波的特征参数频率和振幅进行了测量研究。从理论上对水表面声波激光相干测量信号的频谱构成进行了分析,在此基础上提出了水表面声波两个重要声学参数频率和振幅的解算方法,并通过数值仿真进行了验证。搭建了一套简单的激光干涉测量实验系统,对不同频率和声压激励的水表面声波进行了测量实验,验证了水表面声波频率和振幅解调方法的准确性。对水表面声波横向传播的振幅衰减现象进行了初步的实验研究,结果表明水表面声波的频率越高,振幅的横向衰减越快。研究表明激光相干检测方法能够准确地实现水表面声波振幅和频率的测量。     

Angular dependence of centimeter-band radar scattering by sea surface

Dependences of radar-scattering intensity on local slope of wind waves on the sea surface are obtained under real-sea conditions at a frequency of 20 GHz. To calculate the dependences, we use the fine structure of Doppler spectrum of backscattering. The results are qualitatively compatible with model calculations within the framework of the theory of perturbations on a two-scale surface and allow us to estimate the inhomogeneity of short gravity waves and gravity-capillary ripple, which are modulated by large-scale waves.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 39, No. 5, pp. 538–546, May, 1996.The author thanks V. G. Makarov and A. Yu. Gurulev of the laboratory of geophysical hydrodynamics at the Pacific Institute for Oceanology for assistance in numerical processing of the data.This work was supported by the Russian Foundation for Fundamental Research (grant No 94-05016630).     

Spectral characteristics of a microwave radar signal backscattered by the sea surface at small incidence angles

We present a theoretical analysis of the Doppler-spectrum properties of a microwave radar signal scattered by the sea surface at small incidence angles. The dependences of Doppler-spectrum width and shift on the wind velocity and wave development stage and their azimuthal dependence are analyzed. The case of mixed sea (wind wave plus swell) is also considered. The JONSWAP spectrum model is used to describe sea waves. The study shows that Doppler-spectrum parameters are sensitive to variation of sea-surface state; for example, for the case of developed sea waves, an increase in wind velocity by 1 m/sec leads to increases in the Doppler-spectrum width and shift by 15 Hz and 3 Hz, respectively. It is shown that for the case of a moving radar the Doppler spectrum remains sensitive to variation of sea- surface state with a sufficiently narrow radar directivity pattern. Estimates show that in the case of a single sea- wave system on the surface, using Doppler-spectrum parameters we can, in principle, determine wave type (developing wind wave, developed wind wave, or swell), dominant wavelength, wave propagation direction, and wave height; wind velocity, direction, and acceleration distance can be determined for wind waves.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 39, No. 5, pp. 517–526, May, 1996.This paper was supported by the Russian Foundation for Fundamental Research (project 93-02-15892).     

Wavefront modulation of water surface wave by a metasurface

We design a planar metasurface to modulate the wavefront of a water surface wave(WSW) on a deep sub-wavelength scale. The metasurface is composed of an array of coiling-up-space units with specially designed parameters, and can take on the work of steering the wavefront when it is pierced into water. Like their acoustic counterparts, the modulation of WSW is ascribed to the gradient phase shift of the coiling-up-space units, which can be perfectly tuned by changing the coiling plate length and channel number inside the units. According to the generalized Snell's law, negative refraction and ‘driven' surface mode of WSW are also demonstrated at certain incidences. Specially, the transmitted WSW could be efficiently guided out by linking a symmetrically-corrugated channel in ‘driven' surface mode. This work may have potential applications in water wave energy extraction and coastal protection.     

Speckle from a rough surface when the illuminated region contains few correlation areas: The effect of changing the surface height variance

We report speckle contrast measurements taken at the centre of the far-field diffraction pattern of weak, medium and strong diffusers illuminated by a focused laser beam. We study the evolution of curves of speckle contrast as a function of the radius of the laser spot as the variance of surface height is steadily increased for a fixed correlation length. We also present experimental curves of speckle contrast as a function of the distance of the rough surface from the beam focus for three of the diffusers.     

Measurement of the surface charging of a plasma actuator using surface DBD

In order to quantify the surface charging of a plasma actuator using surface Dielectric Barrier Discharge, we propose a new equivalent circuit for this surface DBD and a new simple method allowing the measurement of the surface charging during the first half cycle and the discharging during the other half cycle. Using this method, we observed the temporal evolution of the total charge on the dielectric surface during an operation of a SDBD starting with positive cycle. We also observed the same phenomenon during an operation starting with a negative cycle. The comparison between these two observations suggests that the high electro-negativity of oxygen plays an important role in these discharges. Finally, we compare the total amount of charge transferred over a cycle under different experimental conditions and we find that the transfer is the lowest in oxygen and the highest in nitrogen.     

动态像面法测量水面落点位置及误差分析

为了测量弹丸水面落点的位置, 建立了基于CCD相机动态像面的测量模型。该模型通过CCD相机辅助采集相关点位的图像信息, 对水面落点的位置函数以及误差进行了研究。首先, 利用空间几何获得靶船上三定点相对于测量船的方位、俯仰信息。接着, 结合t时刻观测图像上定点的像面坐标, 运用底片常数模型建立像面坐标和角度信息两套参量之间的关系函数, 从而得到目标落点的方位、俯仰信息, 再利用异面交会法计算出目标落点位置。最后, 分析了目标落点位置的误差来源(质心误差, 位置误差)、误差以及各误差源与位置坐标之间的关系。实验结果表明:在测量船位置精度达到0.05 m, 图像质心定位精度达到0.5 pixel时, 在最小交会误差的情况下, 目标落点的位置测量误差分别为2.8, 4.9, 4.3 m。     

Generation of vortices by gravity waves on a water surface

The generation of a vortex motion on a water surface by gravity waves at frequencies of 3 and 4 Hz and wavelengths of 17 and 9.7 cm, respectively, has been studied experimentally. It has been shown that the results can be described by a model of the formation of a vorticity by nonlinear waves. It has been shown for the first time that the vorticity amplitude on a water surface depends on the phase difference between the waves propagating at an angle of 90° with respect to each other and with a period of 360°. A quadratic dependence of the surface vorticity amplitude on the angular amplitude of the waves has been observed. Transfer of the energy of the vortex motion from the pumping region to a larger scale has been discovered.     

Verification of the stability criterion of inverse algorithms for layered sea bottom

In this paper,two inverse algorithms were used to infer the impedanceprofile of the layered bottom in a cooling-water pool.The error by twoalgorithms increased dramatically and leading to overflow in computation.Both inverse results were quite close to the measured data if the recorded datahad been corrected by a stability criterion.     

X射线散射法测量超光滑平面

介绍了掠入射X射线散射法(GXRS法)测量超光滑表面的原理及基于商业用X射线衍射仪改造而成的实验装置。以3片不同粗糙度的硅片作为实验样品,分别应用一级矢量微扰理论和改进的Harvey-Shack理论对其散射分布进行处理,所得结果与原子力显微镜测量结果基本相符。分析了探测器接收狭缝的宽度和入射光发散度对实验结果的影响,随着探测器接收狭缝宽度和入射光发散度的减小,测量误差呈指数迅速减小。在所测量的空间频率范围内,功率谱密度（PSD）函数的误差随频率的增加而减小。     

Measurement of the surface density of states by field ionization

It is shown that recent measurements of field ion energy distributions from clean tungsten surfaces probe the density of metal states in the vicinity of the surface. We find j(ω) = (2π/kh)Σ_m| ∫ d³rψ_m(r)γ_z|²δ(ω??_m), where j(ω) is the ion current a ω, ψ_mand ?_m are electronic metal eigenfunctions and eigenvalues in the presence of the external electric field used in field ionization and γ(z) is a function which is large near the noble gas atom. An explicit expression for γ(z) is given in the text. It is estimated that tungsten metal states with values of k₆ at least as large as 0.5 Å^?1 make an appreciable contribution to j(ω) where k₆ is the electron momentum parallel to the surface.