CHEN Peng-zhen1,2,3, CHONG Jin-song1,2
（1. Institute of Electronics, Chinese Academy of Sciences, Beijing 100190, China； 2. Key Laboratory of Science and Technology on Microwave Imaging, Beijing 100190, China； 3. University of Chinese Academy of Sciences, Beijing 100049, China）
Abstract： Relaxation rate is a very crucial parameter in physics. For the water surface wave, its relaxation rate is directly relevant to the response time of disturbed spectrum returning back to its quasi-steady state. It is difficult to be calculated directly as a function of different oceanographic and meteorological parameters. Previous researches were mainly based on experimental measurements or parameterization. In this paper, a method based on the liner array charge-coupled device (CCD)is proposed to measure the relaxation rate of the water surface wave. Compared with the traditional methods, it can obtain the information of surface wave and current synchronously, and works well under a multi wind-wave environment. Wind wave-tank experiments were carried out based on this method. The good consistency between the results calculated by this method and the traditional relaxation rate models shows the validity of the proposed method. This method can be further used to study the modulation theory of surface waves by currents.
Key words： linear array charge-coupled device; water surface waves; relaxation rate
CLD number： P733Document code： A
Article ID： 1674-8042（2017）03-0215-08 doi： 10.3969/j.issn.1674-80422017-03-002
References
［1］Longuet-Higgins M S, Stewart R W. Radiation stresses in water waves: a physical discussion with applications. Deep Sea Research and Oceanographic Abstracts, 1964, 11(4)： 529-562.
［2］Whitham G B. A general approach to linear and non-linear dispersive waves using a Lagrangian. Journal of Fluid Mechanics, 1965, 22(2)： 273-283.
［3］Bretherton F P. A note on Hamiltons principle for perfect fluids. Journal of Fluid Mechanics, 1970, 44(1)： 19-31.
［4］Snyder R L, Cox C S. A field study of the wind generation of ocean wave. Journal of Marine Research, 1966, 24： 141-178.
［5］Larson T R, Wright J W. Wind-generated gravity-capillary waves： Laboratory measurements of temporal growth rates using microwave backscatte. Journal of Fluid Mechanics, 1975, 70(3)： 417-436.
［6］Shemdin O H, Hsu E Y. Direct measurement of aerodynamic pressure above a simple progressive gravity wave. Journal of Fluid Mechanics, 1967, 30(2)： 403-416.
［7］WU Hong-ye, Hsu E Y, Street R L. The energy transfer due to air-input, non-linear wave-wave interaction and white-cap dissipation associated with wind-generated waves. DTIC Document, 1977.
［8］WU Hong-ye, Hsu E Y, Street R L. Experimental study of nonlinear wave—wave interaction and white-cap dissipation of wind-generated waves. Dynamics of Atmospheres and Oceans, 1979, 3(1)： 55-78.
［9］Barnett T P, Wilkerson J C. On the generation of ocean wind waves as inferred from airborne radar measurements of fetch-limited spectra. Journal of Marine Research, 1967, 25(3)： 292-328.
［10］InoueT. On the growth of the spectrum of a wind generated sea according to a modified Miles-Phillips mechanism and its application to wave forecasting. DTIC Document,1967.
［11］Wilson W S, Banner M L, Flower R J, et al. Wind-induced growth of mechanically generated water waves. Journal of Fluid Mechanics, 1973, 58(3)： 435-460.
［12］Hennings I, Lurin B B, Didden N. Radar imaging mechanism of the seabed： Results of the C-STAR experiment in 1996 with special emphasis on the relaxation rate of short waves due to current variations. Journal of Physical Oceanography, 2001, 31(7)： 1801-1827.
［13］Hennings I, Herbers D. Radar imaging mechanism of marine sand waves at very low grazing angle illumination caused by unique hydrodynamic interactions. Journal of Geophysical Research： Oceans, 2006, 111(C10)： 2209-2223.
［14］Hennings I, Herbers D. A theory of the Ka band radar imaging mechanism of a submerged wreck and associated bed forms in the southern North Sea. Journal of Geophysical Research： Oceans, 2010, 115(C10)： 1971-1982.
［15］Alpers W, Hennings I. A theory of the imaging mechanism of underwater bottom topography by real and synthetic aperture radar. Journal of Geophysical Research, 1984, 89(C6)： 10529-10546.
［16］SHAO Hao, LI Yan, LI Li. Sun glitter imaging of submarine sand waves on the Taiwan Banks： Determination of the relaxation rate of short waves. Journal of Geophysical Research： Oceans, 2011, 116(C6)： C06024.
［17］Titov V I, Bakhanova V V, Kemarskaja O N, et al. Investigation of sea roughness with complex of optical devices. In： Proceedings of International Society for Optics and Photonics, 2009： 74730T.
［18］Titov V I. Remote sensing of water basins using optical range-time images of water surface. In： Proceedings of Society for Photo-opticalInstrumentation Engineers Conference Series, 2011, 8175(1)： 466-471.
［19］Titov V I, Bakhanov V V, Luchinin A G, et al. Remote sensing of sea surface features by optical RTI images. In： Proceedings of Society for Photo-opticalInstrumentation Engineers Conference Series, 2013, 8888(6)： 88880J-88880J-8.
［20］Stilwe l D, Pilon R O. Directional spectra of surface waves from photographs. Journal of Geophysical Research, 1974, 79(9)： 1277-1284.
［21］Young I R, Rosentha I W, Ziemer F. A three-dimensional analysis of marine radar images for the determination of ocean wave directionality and surface currents. Journal of Geophysical Research Oceans, 1985, 90(C1)： 1049-1060.
［22］LIU Li, WANG Xiao-qing, CHEN Peng-zhen, et al. The measurement of water surface current velocity under wind wave environment based on linear array CCD. Journal of Experiments in Fluid Mechanics. 2014, 28(2)： 32-38.
［23］Hasselmann K, Barnett T P, Bouws E, et al. Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project. Deutches Hydrographisches Institut, 1973, 12(2)： 1-95.
［24］Keller W C, Wright J W. Microwave scattering and the straining of wind-generated waves. Radio Science, 1975, 10(2)： 139-147.
［25］Alpers W, Hasselmann K. The two-frequency microwave technique for measuring ocean-wave spectra from an airplane or satellite. Boundary Layer Meteorology, 1978, 13(1)： 215-230.
［26］Alpers W. Theory of radar imaging of internal waves. Nature, 1985, 314(6008)： 245-247.
［27］Holliday D, St-CyrG, Woods N E. A radar ocean imaging model for small to moderate incidence angles. International Journal of Remote Sensing, 1986, 7(12)： 1809-1834.
［28］Phillips O M. The dynamics of the upper ocean. UK： Cambridge University Press, 1977： 37-81.
［29］Romeiser R, Alpers W. An improved composite surface model for the radar backscattering cross section of the ocean surface 1： Theory of the model and optimization/validation by scatter meter data. Journal of Geophysical Research： Oceans, 1997, 102(C11)： 25373-25250.
［30］Hughes B A. The effect of internal waves on surface wind waves 2. Theoretical analysis. Journal of Geophysical Research, 1978, 83(C1)： 455-465.
［31］Plant W J. A relationship between wind stress and wave slope. Journal of Geophysical Research： Oceans, 1982, 87(C3)： 1961-1967.
基于线阵CCD的水面波松弛率测量方法
陈鹏真1,2,3， 种劲松1,2
（1. 中国科学院电子学研究所， 北京 100190；2. 微波成像技术国家重点实验室， 北京 100190；3. 中国科学院大学， 北京 100049 ）
摘要：松弛率是物理学中的一个重要参数。 水面波的松弛率反映了其受扰动后的作用谱恢复到稳态所需的时间长短， 因其受到多种海洋学和气象学参数影响很难直接计算。 传统的松弛率研究主要是利用波高仪、 风压力计、 雷达等设备进行数据实测或根据经验值进行参数拟合。 文章提出了一种基于线阵CCD的松弛率测量方法。 和传统测量松弛率的方法相比， 可以稳定工作在不同风浪环境下， 并能够同步获得水面波和表面弱流场信息。 利用本文所提方法， 通过水槽实验对不同风速下的表面波松弛率进行了测量。 实验结果与经典模型比较吻合， 验证了所提出的方法的有效性。 该方法可用于测量风浪环境下波流相互作用理论中表面波受调制情况。
关键词：线阵 CCD； 水面波； 松弛率
引用格式：CHEN Peng-zhen, CHONG Jin-song. Measuring method of water surface wave relaxation rate based on linear array CCD. Journal of Measurement Science and Instrumentation, 2017, 8(3)： 215-222. ［doi： 10.3969／j.issn.1674-8042.2017-03-02］
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