On the scattering of cascade radio emission by rough lunar surface during radiation emergence into vacuum

The scattering of the radio emission of an almost horizontal cascade by the rough lunar surface during radiation emergence into vacuum is considered in the Born approximation. The point approximation for the shower disk size is considered taking into account its evolution along the track. The lunar surface was set either as a sinusoidal one in the directions perpendicular to and coinciding with the shower disk velocity or as having an arbitrary shape at the point of particle incidence. Scattering associated with wave phase increment and with variations of slope of the normal to the rough surface for various rays forming the total field of the scattered wave is considered.     

Influence of ionospheric irregularities on the form of radio signal scattering spectrum in over-the-horizon radar sounding of the rough sea surface

This paper is concerned with the backscattering of HF radio waves from the rough sea surface, which have propagated through the ionosphere with random large-scale irregularities.

For the sake of simplicity, it is assumed in calculations that the rough sea surface is a perfectly conducting surface with the known Philips power spectrum of irregularities. Ionospheric irregularities of a random medium that are isotropic and single-scale ones, with a Gaussian spectrum, are considered within the limits of the hypothesis of frozen-in irregularities.

Within the first approximation of perturbation theory, using, as the incident wave and the Green function, their geometrical-optics approximations, we obtained the expression for the backscattering spectrum of the ionospheric chirp radio signal with a Gaussian envelope. The expression involves the parameters of the receive-transmit antenna, the signal, the propagation medium, and of the scattering surface. Numerical simulation was used to investigate the influence of all the above-mentioned parameters on the backscattering spectrum. It is shown that travel of ionospheric irregularities has the largest influence on the scattering spectrum, the signal parameters mainly determine the size of the scattering area in the range, and the form of the coherent integration window determines the form of the received signal and can distort it.     

Influence of ionospheric irregularities on the form of radio signal scattering spectrum in over-the-horizon radar sounding of the rough sea surface

Abstract

This paper is concerned with the backscattering of HF radio waves from the rough sea surface, which have propagated through the ionosphere with random large-scale irregularities.

For the sake of simplicity, it is assumed in calculations that the rough sea surface is a perfectly conducting surface with the known Philips power spectrum of irregularities. Ionospheric irregularities of a random medium that are isotropic and single-scale ones, with a Gaussian spectrum, are considered within the limits of the hypothesis of frozen-in irregularities.

Within the first approximation of perturbation theory, using, as the incident wave and the Green function, their geometrical-optics approximations, we obtained the expression for the backscattering spectrum of the ionospheric chirp radio signal with a Gaussian envelope. The expression involves the parameters of the receive–transmit antenna, the signal, the propagation medium, and of the scattering surface. Numerical simulation was used to investigate the influence of all the above-mentioned parameters on the backscattering spectrum. It is shown that travel of ionospheric irregularities has the largest influence on the scattering spectrum, the signal parameters mainly determine the size of the scattering area in the range, and the form of the coherent integration window determines the form of the received signal and can distort it.     

Low-grazing angles scattering of electromagnetic waves from one-dimensional natural surfaces: Rigorous and approximate theories

We present a rigorous model, based on a specific boundary integral formalism for the wave scattering from rough, one-dimensional, dielectric or conducting surfaces at low-grazing incidence and scattering angles. Even though this so-called Grazing Method of Moment is, from a numerical cost point of view, independent of the incidence, it remains very numerically demanding. We thus propose an extrapolation technique for faster monostatic diagram computation, based on the theoretical behavior of the scattering amplitude at low-grazing angles. This technique is compared to the GMoM and to some approximate models, for surfaces with Gaussian spectrum as well as for sea surface.     

Scattering of Radiation of the Sun and the Sky from Two Dimensional Rough Sea Surfaces

The scattering of optical wave from two dimensional rough sea surfaces is studied first with method of facets. The sea surface is divided into many facets, and each facet is treated as a surface with small roughness instead of a smooth plane, therefore more practical and effective. In addition the shadowing function of sea surfaces for arbitrary incident and scattering angles is numerically calculated with the Z-BUFFER method, which applies to any kinks of rough surfaces compared with the methods available. Finally the spectral irradiance of the sun and the spectral radiance of the sky for different time at sea level with fine weather are obtained with the software of Lowtran7, and the scattering of the radiation of the sun and the sky from two dimensional rough sea surfaces for different time, waveband and wind speed is studied, which is of great reference value for reducing the interference to the infrared detector due to the scattering of the radiation of the sun and the sky from sea surfaces.     

风浪因素对海洋波导雷达回波作用机理的研究

采用文氏谱模型描述近海海洋动力环境海面的粗糙特征, 并运用海浪谱理论得到风速和均方根高度偏差的关系. 进而应用修正的离散混合傅里叶变换方法和改进的雷达散射系数模型分别计算了电磁波传输损耗和雷达散射系数. 在此基础上, 通过数值计算分析了风浪因素对海洋波导环境雷达回波功率值的影响. 结果表明, 风浪因素对不同观测高度处的传输损耗的影响均不大; 风浪因素对雷达回波功率有显著影响, 并且相对于传输损耗, 雷达散射系数项受风浪因素影响较大因而导致较大的雷达回波功率的变化.     

On the surface cascade radio emission escape into vacuum through the rough lunar surface

The radio emission escape of an almost horizontal cascade through the rough lunar surface into vacuum is considered. The point approximation is accepted for the shower disk size, taking into account its evolution along the cascade track. The lunar surface is assumed to be flat, but having a single perturbation such as a cylindrical “hill” perpendicular to the shower disk motion direction. The perturbation is not assumed to be small. Diffraction associated with the wave phase progression and variations of the slope of the normal to the rough surface for various rays forming the total wave field in vacuum is taken into account.     

粗糙海面高功率微波传输特性矩量法分析

应用蒙特卡罗方法实现了粗糙海面的仿真与模拟,建立了基于双积分方程的高功率微波（HPM）近海面传输特性矩量法计算模型。模型采用光滑窗函数对均匀平面波进行调制,把均匀平面波入射调制为锥形波,消除了粗糙海面突然被截断而引起的边缘效应的影响;重新推导了锥形波入射下的基尔霍夫近似公式,并在满足基尔霍夫近似的条件下,通过对比分析,验证了模型的正确性;采用模型计算分析了不同海面几何参数和海水媒质参数对HPM近海面传输系数的影响。结果表明:粗糙海面的均方根高度对HPM传输系数影响明显,均方根高度越大,传输系数越小,能量分布越均匀;另外随着海水介电常数实部和虚部的增加,传输系数均有所增加,并且实部的影响更明显。     

Modal time reversal of waves for shallow-water sea

A method is proposed for calculating the time-reversed wave field generated by a point source in a waveguide by using signals received by a vertical antenna array. The procedure of time reversal is based on representing the wave field in the form of the decomposition into modes of the ideal waveguide. In contrast to the earlier proposed simplified numerical method of time reversal of waves, the method presented here allows one to obtain the reversed field for the entire thickness of the waveguide. The method is successfully applied to a shallow-water sea with a depth of 120 m, at distances of 7, 10.5, and 12 km. It is shown that an opportunity arises to increase the gain of the array; to determine the parameters of the medium, including its stability in the presence of currents; and to match the point of transmission of an arbitrary received signal and the point of transmission of the reversed signal.     

浅海起伏海面下气泡层对声传播的影响

分析了起伏海面下风浪引起的气泡层对海面反射损失和对声传播的影响.一方面,气泡层会改变原来水中的声速剖面;另一方面,气泡层会对声波产生散射和吸收作用.考虑以上两方面的因素,分析了不同风速下气泡层对海面反射损失和声传播损失的影响,仿真发现,在风速大于10 m/s时,对于2 k Hz以上频率时气泡层对小掠射角下海面反射损失的影响不可忽视.在给定的水声环境中,当声源深度和接收深度都为7 m时,风速为16 m/s的风浪下生成的气泡层,在10 km处对3 k Hz的声传播损失的影响达到8.1 d B.当声源深度和接收深度都为18 m时,风速为16 m/s的风浪下生成的气泡层,在10 km处对3 k Hz的声传播损失的影响达到4 d B.     

大气风场和温度对无线电声波探测系统探测高度影响的数值研究

从声波扰动介质中的电波波动方程出发, 使用时域有限差分(FDTD)方法, 结合声波传播的FDTD 模型, 构建了描述声波和电波相互作用的数值模型, 并运用该模型分析风场和温度对无线电声波探测系统的探测高度的影响. 数值模拟结果表明: 温度与风场剖面的存在改变声波和电波散射回波的传播轨迹; 温度梯度剖面主要影响声波的传播速度, 风场剖面导致作为电波散射体的声波波阵面的偏移, 降低电波散射回波的强度并改变回波路径, 使得接收数据减少, 限制无线电声波探测系统的探测高度; 在强风背景下, 若降低声波散射体高度, 电波散射回波“聚束点”的偏移会有较大的改善, 但同时意味着探测高度的降低. 为了改善风场背景下无线电声波探测系统的探测高度, 可以使用双基地雷达或者增大接收天线面积等方法来实现.     

二维粗糙海面的光散射及其红外成像

首先根据JONSWAP海面功率谱模型数值模拟出二维粗糙海面，采用几何光学近拟与基尔霍夫（Kirchhoff）标量近似计算了二维海面的光散射，计算中将每一面元看成一具有微粗糙度的粗糙面而不是近似地当作平面，并利用投影法与射线追踪法数值计算了一定入射角和散射角下的遮挡函数，有效地提高了海面光散射计算的精确性。最后利用太阳光的光谱辐照度数值模拟了海面的3μm-5μm红外散射图像，对于红外探测器抑制海面反射太阳光造成的亮带干扰具有一定的参考价值。     

Surface reverberation spectrum of underwater sound

A general formulation is derived for the power spectrum of fluctuations in the signal received by way of reflection from a rough sea surface, in terms of an arbitrary wavenumber-frequency spectrum of the surface waves and an arbitrary source directivity function. The formulation is then applied to the specific case of backscatter for which the extreme cases of acoustically slightly rough and very rough sea surfaces are examined in detail. The results of the analysis are compared with experiments, and with the somewhat more restricted results of other theoretical work.     

Light reflection from a rough liquid surface including wind-wave effects in a scattering atmosphere

Visible and near-IR images of the ocean surface, taken from remote satellites, often contain important information of near-surface or sub-surface processes, which occur on, or over the ocean. Remote measurements of near surface winds, sea surface temperature and salinity, ocean color and underwater bathymetry, all, one way or another, depend on how well we understand sea surface roughness. However, in order to extract useful information from our remote measurements, we need to construct accurate models of the transfer of solar radiation inside the atmosphere as well as, its reflection from the sea surface. To approach this problem, we numerically solve the radiative transfer equation (RTE) by implementing a model for the atmosphere-ocean system. A one-dimensional atmospheric radiation model is solved via the widely known doubling and adding method and the ocean body is treated as a boundary condition to the problem. The ocean surface is modeled as a rough liquid surface which includes wind interaction and wave states, such as wave age. The model can have possible applications to the retrieval of wind and wave states, such as wave age, near a Sun glint region.     

Effects of a Quasi-Stationary Field in Contact Radiometry

We analyze theoretically the thermal radiation of an absorbing half-space, received by an antenna of an arbitrary size located at an arbitrary height above the half-space surface. It is shown that the measured power consists of quasi-stationary (near-field) and wave components. The relative contribution of each component depends on the antenna size and height. Conditions under which the near-field component is dominant are found. It is shown that the total power of the radiation received from a uniformly heated medium is entirely determined by the medium temperature and is independent of the antenna parameters. If the influence of the quasi-stationary field is strong, then the received radiation is formed in a layer whose effective depth is less than the skin-layer depth. This effect can be used for detection of the near-field component of thermal radiation.     

FDTD investigation on the electromagnetic scattering from a target above a randomly rough sea surface

A finite-difference time-domain approach for electromagnetic scattering characteristic from a two-dimensional (2-D) infinitely long target with arbitrary cross-section above the one-dimensional (1-D) randomly rough sea surface is presented. Taking the composite scattering of rough sea surface and infinitely long cylinder as an example, the angular distribution of the scattering cross-section with different incident angles is calculated and it shows good agreement with the numerical result by the conventional Method of Moments (MOM). Finally, the influence of the windspeed on the sea surface, the incident angle, as well as the size and location of the target on the composite radar cross-section (RCS) with different polarisations is investigated in detail.     

Theory of radio wave scattering at a rough sea surface

The problem of the reflection of a plane single-frequency electromagnetic wave from a statistically rough dielectric boundary with arbitrary is solved in the perturbation approximation. The statistical characteristics (scattering cross section, change of polarization, and frequency spectrum) of a radar signal reflected from a rough sea surface are investigated. The model used for the surface—a small ripple superimposed on large waves—enables the perturbation theory approach to be extended to the decimeter and centimeter wave band.Izvestiya VUZ. Radiofizika, Vol. 9, No. 5, pp. 876–887, 1966     

Modeling the infrared radiance of rough sea surface in the infrared windows: 3-5 μm and 8-12 μm

The general formulations for spectral directional emissivity and spectral bi-directional reflectivity are analyzed by using Fresnel's formula and Snell's law in rough sea surface which is simulated by wave facets, whose slopes are changing according to the isotropic Gaussian distribution with respect to surface wind. Then, shadowing effect is taken into account in both emission and reflection of sea surface. On this basis, the mathematic expression is obtained for spectral radiance of rough sea surface, in which the radiance of rough sea surface is considered as a composition of self-emission, reflection of sky and reflection of sun. Finally, calculations for infrared radiance of rough sea surface in bands of 3-5 μm and 8-12 μm are given to illustrate their significant different, which are caused mostly by the dispersion of sun radiation.     

Millimeter-Wave Radiometry of the Temperature Film on a Sea Surface

Using in-situ measurements of thermal radio emission at frequencies 53–55 GHz from a rough sea surface in the coastal zone of the eastern Crimea shore, we obtain data on the water temperature at a depth of 0.2 mm and on the reflection characteristics of the sea surface. Measuring the intensity of radio emission from a surface irradiated by a signal with known variable power allows one to obtain simultaneous data on the temperature and reflection coefficient. In our experiment, the atmospheric radio emission in the wing of the molecular oxygen absorption band, received by frequency-separated channels of a radiometer–spectrometer, plays the role of such an irradiation. The measured water temperature T_SL=(5.4±1.0) °C turns out to be less than the air temperature and the in-depth water temperature. The reflection coefficient is equal to R=0.349±0.05.