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.     

Computation of Near Sea Target Scattering from Complex Background Radiation

The background radiation contribution is an important component of target scattering characteristics. A study is made on target scattering characteristics from complex background radiation, with contributions of the sun and the sea and sky background and that among each components of target. In this paper, the shadowing function of sea surface is numerically calculated by using the Z-BUFFER shadowing elimination algorithm, and the scattering of each facet of sea surface and target from the sun and the sky background infrared radiation is computed based on the rough surface scattering model as well as the infrared self-radiation of the sea surface. Finally, a numerical calculation of the forward and backward radiance of a near-sea circular cylinder scattering from the sun, the sea and sky background infrared radiation of near sea target and the infrared self-radiation of the target skin have been made. The results show the important influences of each contribution on target scattering from the sea and sky background radiation in 3-5 m and 8-12 m bands.     

含泡沫面元模型的海面电磁散射研究

传统计算海面电磁散射的方法都是通过求集平均的方法来统计得到不同输入参数下海面总回波系数的均值曲线,并不需要具体的几何样本.随着合成孔径雷达以及雷达成像的发展,为了充分描述海面各点的分布特征,需要得到海面具体面元的散射结果,同时随着海面上方风速的增大,海面泡沫层的出现会对散射结果产生相当大的影响.本文采用海面模型面元化的思想,将海面散射的贡献面元化,同时考虑泡沫层对大入射角下散射结果的影响,计算了不同风速下海面的后向散射系数,并与实测数据做对比分析,验证了方法的准确性.     

Calculation of Routh Sea Surface Reflection

A mathematical expression of surface reflectivity based on Fresnel’s formula and Snell’s law was particularly developed for the rough sea surface, the variation of whose slope in response to the surface wind is determined to the isotropic Gaussian distribution. Subsequently, reflection of rough sea surface in band of 3–5 and 8–12 μm was calculated and extensively analyzed in terms of viewing angle and surface wind. The corresponding results are of great practical significance to reducing the interference to the infrared detection due to reflection of the radiation from sun and sky.     

Scattering of electromagnetic radiation by surfaces with a fractal relief

The scattering indicatrix of electromagnetic waves for different types of rough surfaces and angles of incidence is calculated using the Kirchhoff scalar theory. The rough surfaces are modelled by a two dimensional Weierstrass function. The scattering index for a rough surface with a fractal relief is found to have a complicated structure with intensity bursts in directions quite far from the direction of mirror reflection.     

Forward scattering of pulses from a rough sea surface by Fourier synthesis of parabolic equation solutions

A variable depth step implementation of the range-dependent acoustic model (RAM) is applied to the modeling of forward scattering from a rough sea surface. The sea surface is treated within RAM simply as an internal interface between a water layer and an air upper halfspace. A comparison with a numerically exact integral equation is undertaken for the scattering of single frequencies from Pierson-Moskowitz sea surfaces. The method is extended to model the variability of linear frequency modulated pulses from a series of frozen sea surfaces in a shallow water waveguide. The subsequent effect of rough boundary scattering on the replica correlation process is investigated.     

The phenomenon of simplified scattering from rough surfaces to reflection in fractional space

In this paper, the scattering of incident plane waves from rough surfaces has been modeled in a fractional space. It is shown how wave scattering from a rough surface could correspond to a simple reflection problem in a fractional space. In an integer dimensional space, fluctuations of the surface result in wave scattering, while in the fractional space, these fluctuations are compensated by the geometry of space. In the fractional space, reflection is equivalent to scattering from the integer dimensional space. Comparing scattered wave functions from different self-affine rough surfaces in the framework of the Kirchhoff theory with the results from the fractional space, we see good agreement between them.     

Scattering of Solar and Atmospheric Background Radiation from a Target

Light scattering property of environment is very important in theoretical study and application of the remote sensing. What's more, it is valuable for infrared radiation, imaging, and the detection of target and tracking. In this paper, solar and atmospheric background radiation, and their scattering property from target are discussed. BRDF (Biodirectional Reflectance Distribution Function) is a very important quantity that shows the radiation and reflection feature of target. According to electromagnetic radiant and scattering theories, the relationship between laser radar scattering cross section (LRCS) and BRDF is introduced. LOWTRAN model is an effective method of calculating the spectral distribution of solar and atmospheric radiation. Here it is applied to compute solar and atmospheric background radiation scattered from a target. The relative equations are deduced. Thus, the spatial and spectral distribution of scattering light is given. As a special example, for the Lambert's surface, the equations are simplified. As a result, the spatial and spectral distributions scattering radiation of solar and atmospheric background from a rough painted surface are present. The scattering of solar radiation plays a primary role in MIR region, but scattering of atmospheric background radiation is higher in LIR region. At the same time, there is obviously specular reflectance for solar radiation due to coherent scattering from rough surface.     

Multiple scatter of vector electromagnetic waves from rough metal surfaces with infinite slopes using the Kirchhoff approximation

This paper presents calculations of a new formulation of the three‐dimensional Kirchhoff approximation which allows calculation of the scattering of vector waves from two-dimensional (2D) metal and dielectric rough surfaces containing infinite slopes. Results are presented for scattering from metal surfaces with rectangular surface structures. This type of surface has applications, for example, in remote sensing and in testing or imaging of printed circuits. Some calculations for rectangular-shaped grooves in a plane are presented for the 2D surface method and are compared to previously published results using a different method of calculation. Good agreement is found between the results for the different calculation methods.     

Small-slope expansion for thermal and reflected radiation from a rough surface

Small-perturbation and small-slope expansions are applied and compared for calculation of thermal emission from a rough sea surface and reflected sky radiation. The comparison shows that the expansions are identical. This permits us to use the small-perturbation expansion to calculate microwave thermal radiation from the ocean instead of the two-scale model and the small-slope expansion. At grazing observation angles multiple scattering and shadowing become crucial and high-order terms of the expansion must be taken into account. This imposes a limitation on the applicability of the small-slope approximation.     

Optical backscattering measurements from fractal surfaces and their possible relevance to radar scattering from the sea surface

In spite of recent progress, existing theories of electromagnetic wave scattering by rough surfaces cannot yet explain several important features of microwave sea echo, particularly in grazing incidence geometries. To explain them it is necessary to develop scattering models that can reproduce the features in a robust way. The aim of this paper is to report laboratory optical frequency experiments designed to aid achievement of this objective. In particular, polarization sensitive measurements of the backscattered intensity are reported for a range of characterized fractal surfaces using visible laser radiation. The appearance of enhanced backscattering peaks are observed even quite close to grazing incidence for some types of surfaces and indicate the importance of multiple scattering. It is also shown that the dependence of the backscattering cross-section on incidence angle bears some gross similarities to that obtained from microwave scattering from the sea surface for high index fractal surfaces that exhibit intermittency.     

风成海面的极化辐射

采用几何光学模型和统计的方法研究了风成海面的极化辐射特性.本文假设海面由一系列随 机分布的小镜面组成，海面对电磁波的散射可看作镜面的反射，风成海面的辐射是小镜面辐 射的统计平均.计算了前三个Stokes 参数，结果表明辐射亮温随方位的变化关系为余弦函数 ，周期为π；辐射亮温随方位角的变化幅度为几个Κ.风成海面的极化辐射特性提供了利用 被动微波遥感手段反演海洋风场的途径. 关键词： 极化 辐射 亮温 风成海面     

粗糙海面及其上方导体目标复合电磁散射的混合算法研究

利用基于电流计算的矩量法结合高频算法基尔霍夫近似的混合算法,分析了一维PM谱粗糙海面及其上方二维无限长任意截面导体目标的双站复合电磁散射特性.混合算法将粗糙面和目标分别划分到KA区域和MOM区域,由于无需数值求解粗糙海面区域的表面极化电流,该算法的运算时间和对计算机内存的需求主要取决于粗糙面上方目标的网格划分情况.数值结果以无限长导体圆柱为例计算了其与一维下垫PM谱粗糙海面的复合双站散射截面,并将计算结果与经典MOM结果进行了比对和验证,结果表明混合方法具有较高的计算效率.最后应用混合方法讨论了不同极化状态、海上不同风速以及目标不同尺寸和位置对复合散射截面的影响. 关键词： 粗糙海面 电磁散射 混合算法 矩量法     

中段弹头表面温度及辐射特性的计算研究

为研究中段弹头的表面温度及辐射特性,利用Lowtran7计算太阳和地球大气的红外与可见光辐射,依据粗糙表面光散射理论计算弹头对太阳、地球大气和地球反照辐射的吸收和散射。采用控制容积法发展了圆柱坐标系下三维非稳态导热的隐式离散方程,迭代求解得到弹头表面的温度。以一射程4000km的中段弹头为例,计算了发动机关机点后2000s内,弹头表面的温度和辐射的变化。     

海面与其上方双矩形截面柱复合散射的混合算法研究

采用Pierson-Moscowitz(PM)海谱和Monte Carlo方法模拟实际的粗糙海面, 基于矩量法和基尔霍夫近似的混合算法研究了海面与其上方双矩形截面导体柱的复合电磁散射特性, 得出了复合散射系数的角分布曲线, 计算了复合散射系数随海面参数、矩形截面柱参数以及入射波参数的变化情况, 并做了详细分析与讨论, 得到了PM谱海面与其上方双矩形截面柱复合散射特性. 结果表明, 与单纯的矩量法相比较, 采用基于矩量法和基尔霍夫近似的混合算法, 既可获得较高的准确性, 同时又可减少计算时间和内存占用量, 而且粗糙面尺度越大该优势越明显.     

Scattering from rough surfaces

Scattering from rough surfaces is studied using a perturbative treatment of the Ewald-Oseen extinction theorem. Expressions for the first and second order fields in the roughness parameter are presented for arbitrary incident fields and used for the calculation of scattering and extinction cross sections. The cross sections are shown to have contributions from diffuse scattering as well as from surface polariton emission and include the hitherto studied effects such as Smith-Purcell radiation, Wood anomalies and reflectance drops at rough surfaces.     

空间目标的可见光散射与红外辐射

利用Lowtran7大气传输模型计算了0．4～0．8μm可见光波段的太阳辐射、大气自身的热辐射以及天地背景辐射。利用粗糙面光散射理论与双向反射分布函数计算了空中目标表面对太阳辐射、云层对阳光反射的散射。并利用传热学和背景辐射理论，根据能量守恒定律建立了空间目标表面温度的热平衡方程。以气球为例，计算了不同表面涂层材料的气球在不同地理位置、不同高度、不同时间、温度及辐射功率的变化。分析了空间目标红外辐射特性的一般规律和特征。     

HF ground wave propagation over a curved rough sea surface in the presence of islands

For a vertically polarized line source, in the context of HF (3–30?MHz) ground wave propagation over a curved rough sea surface in the presence of islands, this paper adapts the FB-SA (Forward–Backward Spectral Acceleration) method to compute the attenuation function over sea–land (island)–sea mixed paths for different shapes and heights of the islands. The rigorous FB-SA numerical method is based on the method of moments and was originally developed for scattering from rough surfaces and is especially efficient in solving a huge problem, which is required to predict the ground wave propagation over a long surface. In addition, for zero island height, this method is compared with an analytical approach expressed from a (residue) series, in which the roots of a differential equation, depending on the Airy function, must be calculated. In addition, from an intuitive approach and from the work of Barrick and Ishimaru, this analytical approach is extended to include the sea roughness and then validated from the FB-SA.     

不稳定表面粗糙目标的太赫兹波段散射特性分析

研究了不同粗糙度下的非均匀和分区均匀不稳定表面粗糙导体目标在太赫兹波段的散射特性。区别于采用经验公式的建模方法,提出把随机粗糙面的建模理念应用到太赫兹波段的非均匀和分区均匀不稳定表面粗糙导体目标的建模中,用描述粗糙面的均方根高度和相关长度两个物理量来调节目标表面的粗糙度变化。提出表面粗糙目标的分类形式并给出具体模型,然后用随机高斯粗糙面来模拟非均匀和分区均匀不稳定粗糙目标的表面,再采用物理光学和等效电流相结合的方法来进行仿真计算,分别对不同入射角、不同频率和不同粗糙度的非均匀和分区均匀不稳定表面粗糙导体目标的太赫兹波散射特性进行分析,最后得出了相关的结论。     

基于三维重建理论的目标光谱散射特性研究

根据三维重建理论,基于目标的多角度视图,重建了目标表面的三维点云。利用德洛奈三角剖分法结合可见性原理,得到了目标的曲面和曲面面元的法线方向。根据粗糙面散射理论和目标表面的双向反射分布函数(BRDF),结合大气传输软件Modtran计算的某时间、地点的背景光谱辐射亮度,数值分析了目标光谱散射亮度分布特性。以覆盖车衣的汽车为例,重建的三维几何模型误差为4.11%,数值计算了目标在三个波段的光谱散射亮度分布。上述方法可以进一步用于卫星和其他空间目标的光谱辐射、散射特性研究。