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。     

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。     

On the theory of X-ray coherent reflection from a rough surface

A solution of the problem of X-ray specular reflection from a statistically rough surface is presented. It is based on using the Green function formalism. The Kirchhoff formula is used to describe the transmission of the wave field through a rough interface. Generally, microscopically exact expressions for the coefficients of transmission through a rough surface and reflection from it are obtained by taking multiple scattering effects into account. Averaging of the obtained expressions over possible realizations of random roughness of the interface between media allows to obtain rigorous expressions for specular reflection and transmission coefficients. The behavior of exact solutions in the limiting case of infinite correlation lengths is studied. It is shown that, in this case, the obtained solution corresponds to the Debye-Waller normalization. Expressions for the reflection and transmission coefficients making it possible to carry out numerical calculations are obtained in the Bourret approximation of multiple-scattering theory.     

表面粗糙样品的太赫兹光谱参数提取方法研究

很多物质在太赫兹波段内的光谱参数具有指纹特征,这是太赫兹技术在安检等众多领域有所应用的基础.但是,目前常用的太赫兹时域光谱(THz-TDS)技术提取物质光学参数的Duvillaret算法,要求样品上下表面平行且充分光滑.然而在很多有潜力的实际应用场合中,尤其是对于固体样品,表面粗糙度不可避免,并且不能使用模具压片等实验...     

由小斜率近似计算粗糙海面对空气声源激发的浅海声场的影响

采用一级小斜率近似方法处理空气声经粗糙海面透射至浅海中的声场问题。假定空气、海水和海底为三层均匀介质,将海水层中声场分解为下行波和上行波,导出了粗糙海面条件下下行波和总声场的小斜率近似表达式。导出的声场表达式可由快速傅里叶变换计算,但会出现混叠问题。为了减轻混叠影响,提出了引入额外介质吸收的计算方法。针对高度一维变化且频谱满足PM谱的起伏海面,采用蒙特卡洛仿真计算了相应的水下声场。结果表明,随着海面起伏均方根高度的增加,水下相干场强度减小而均方声压则略有增大。      

Sound transmission from air into shallow water through rough sea surfaces by small slope approximation

The first-order small slope approximation is applied to the problem of the sound transmission from an airborne source into shallow water through a rough sea surface.By assuming a three-layer homogeneous fluid model and decomposing the sound field in water layer into up-going and down-going waves,the expressions for the down-going wave and thus the total field are derived.The expressions can be calculated by the FFT,but the alias problem will arise.To mitigate the alias effect,additional medium a...     

纳米级随机粗糙表面微观滑动摩擦力的计算研究

表面形貌很大程度上决定了摩擦副的摩擦性能, 而所有的表面都不可能是绝对光滑的.由于摩擦表面形貌的随机性, 决定了实际的摩擦过程具有随机性的特点, 因此为了获得与随机形貌对应的摩擦特性, 建立合理的随机摩擦模型是必要的. 本文基于Lennard-Jones势能建立了纳米级随机粗糙表面和原子级光滑的刚性平面间的随机摩擦模型; 模型中, 界面势能由法向载荷和界面间平衡距离决定.通过数值计算的方法, 推导了微观滑动摩擦力的计算公式和摩擦力与法向载荷之间的关系. 研究结果表明摩擦力随着法向载荷的增加而增加, 但不是线性增长. 结果也说明界面间的表面势能可能是微观摩擦力的本质起源. 关键词： 随机粗糙表面 Lennard-Jones势能 微滑动摩擦力 微摩擦     

Enhanced transmission through randomly rough surfaces

We present an experimental and theoretical study of two enhancement effects that occur in the transmission of light through a thin metal film whose illuminated surface is a one-dimensional random surface while its back surface is planar. The first is a well defined peak in the antispecular direction in the angular distribution of the intensity of the incoherent component of the transmitted light (enhanced transmission). The second is an additionally well defined peak in the forward direction in the angular distribution of the intensity of the incoherent component of the transmitted light, when the illuminated surface is not only randomly rough but has even symmetry as well (enhanced refraction). A fully automated bidirectional reflectometer has been used to measure the intensity of the incoherent component of He-Ne laser light transmitted through gold and silver films of these two types and the results are compared with the predictions of theoretical calculations of the enhancement effects.     

Virtual gonio-spectrophotometer for validation of BRDF designs

Measurement of the appearance of an object consists of a group of measurements to characterize the color and surface finish of the object. This group of measurements involves the spectral energy distribution of propagated light measured in terms of reflectance and transmittance, and the spatial energy distribution of that light measured in terms of the bidirectional reflectance distribution function (BRDF). In this article we present the virtual gonio-spectrophotometer, a device that measures flux (power) as a function of illumination and observation. Virtual gonio-spectrophotometer measurements allow the determination of the scattering profile of specimens that can be used to verify the physical characteristics of the computer model used to simulate the scattering profile. Among the characteristics that we verify is the energy conservation of the computer model. A virtual gonio-spectrophotometer is utilized to find the correspondence between industrial measurements obtained from gloss meters and the parameters of a computer reflectance model.     

Analysis of one-dimensional rough surface scattering based on bidirectional reflectance distribution function model

Through in-depth analysis of the scattering properties of a one-dimensional random rough surface, a method to calculate the spatial bidirectional reflectance distribution function (BRDF) characteristics of a randomly rough surface is proposed. The scattering characteristics of an electrically large rough surface can be substituted by combination of subsection electromagnetic fields. The radar cross-section (RCS), which is transformed from the BRDF, is compared with numerical results from the Method of Moment (MoM). The agreement of the results verifies that this method could calculate the electromagnetic scattering field efficiently and straightforwardly. Moreover, the resulting combined fields from the BRDF of subsections in the rough surface show a good match with the entire scattering field of a whole surface, which indicates that a large electrically rough surface could be feasibly and effectively substituted with the combination of scattering elements using the BRDF method and the statistical method.     

指数型分层介质粗糙面光透射问题的微扰法

运用微扰法研究了平面波入射分层介质粗糙面的光透射问题,推出了不同极化状态的透射系数公式.采用指数型粗糙面模拟实际的分层介质粗糙面,结合其功率谱导出了平面波入射时的透射系数计算公式.通过数值计算得到了HH极化情形透射系数随透射光散射角变化的曲线.数值计算结果表明,底层介质介电常量对透射系数几乎没有影响;中间介质介电常量影响透射系数的大小及透射系数角分布曲线;中间介质厚度增大为原来的二倍时,曲线振荡的周期减小为原来的二分之一;粗糙面高度起伏均方根影响透射系数的大小、曲线振荡的振幅;粗糙面高度起伏相关长度既影响透射系数的大小、同时影响曲线的振荡行为;透射系数随入射波长的增大而振荡减小.     

Enhanced transmission through randomly rough surfaces

Abstract

We present an experimental and theoretical study of two enhancement effects that occur in the transmission of light through a thin metal film whose illuminated surface is a one-dimensional random surface while its back surface is planar. The first is a well defined peak in the antispecular direction in the angular distribution of the intensity of the incoherent component of the transmitted light (enhanced transmission). The second is an additionally well defined peak in the forward direction in the angular distribution of the intensity of the incoherent component of the transmitted light, when the illuminated surface is not only randomly rough but has even symmetry as well (enhanced refraction). A fully automated bidirectional reflectometer has been used to measure the intensity of the incoherent component of He-Ne laser light transmitted through gold and silver films of these two types and the results are compared with the predictions of theoretical calculations of the enhancement effects.     

高斯分层介质粗糙面光波透射问题的微扰法研究

运用微扰法研究平面波入射分层介质粗糙面的光波透射问题,推出了不同极化状态的透射光波散射系数公式。采用高斯粗糙面来模拟实际的分层介质粗糙面,结合高斯粗糙面的功率谱导出了平面波入射高斯分层介质粗糙面的透射系数计算公式。通过数值计算得到HH极化透射系数随透射光波散射角变化的曲线,讨论底层介质介电常数、中间介质介电常数和厚度、粗糙面参数及入射光波长对透射系数的影响。数值计算结果表明：底层介质介电常数、中间介质介电常数和厚度、粗糙面参数及入射光波长对透射系数的影响是非常复杂的。     

Transmission scatter cross sections across two-dimensional random rough surfaces – full wave solutions and comparison with numerical results

Abstract

In this paper, the full wave expressions for the bistatic transmission scattering cross sections across two-dimensional random rough surfaces are obtained. The full wave analysis accounts for the surface height/slope correlations. Analytical and numerical comparisons of the full wave solutions with the small perturbation and physical optics solutions are made for isotropic random rough surfaces. The full wave results are also compared with the numerical results based on Monte Carlo simulations of one-dimensional random rough surfaces. Detailed consideration is given to illustrating the relationship between these full wave solutions and the original full wave solutions including the impact of accounting for the height/slope correlations in this analysis.     

Total internal reflection at a boundary between vacuum and an optical medium with quasi-zero refractive index

It is shown that, on a surface of optical transparency of a medium with quasi-zero refractive index, surface optical waves traveling along the surface can be excited for different angles of incidence of external radiation. Expressions for the amplitudes of nonspecular reflection and transmission of light waves at an inhomogeneous boundary between two media are derived. Using these expressions, the boundary reflectance and transmittance for different angles of incidence and refraction can be calculated.     

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.依据粗糙面光散射理论与双向反射分布函数计算空中目标表面对太阳辐射和云层对阳光反射的散射.利用传热学和背景辐射理论,根据能量守恒定律建立空间目标表面温度的热平衡方程.以气球为例,计算不同表面涂层材料的气球,在不同地理位置、不同高度和不同时间条件下,其温度及辐射功率的变化.分析空间目标红外辐射特性的一般规律和特征.     

Energy conservation of the scattering from one-dimensional random rough surfaces in the high-frequency limit

Energy conservation of the scattering from one-dimensional strongly rough dielectric surfaces is investigated using the Kirchhoff approximation with single reflection and by taking the shadowing phenomenon into account, both in reflection and transmission. In addition, because no shadowing function in transmission exists in the literature, this function is presented here in detail. The model is reduced to the high-frequency limit (or geometric optics). The energy conservation criterion is investigated versus the incidence angle, the permittivity of the lower medium, and the surface rms slope.     

Thin and thick diffraction gratings: Thin matrix decomposition method

A brief review of the properties of transmission diffraction gratings is presented. Two types of gratings will be analyzed: thin and volume gratings explaining how the efficiency of the different orders that propagate inside the gratings can be calculated in both cases. For thin diffraction gratings the so-called amplitude transmittance method is applied in order to get the amplitude of the different orders, whereas in the case of volume gratings more complex methods are needed, such as Coupled Wave or modal theories. We will comment on the thin matrix decomposition method (TMDM), firstly proposed by Alferness, which gives a very intuitive approach and connects the properties of thin gratings to the properties of volume ones. The thin matrix decomposition method consists in dividing the volume grating in a number of thin gratings and applying the amplitude transmittance method to each thin grating. In this way the output of a grating will be considered as the input of the next and any individual grating can be treated by the amplitude transmittance method. The novelty of this work is that a comparison is made between the analytical expressions obtained by Alferness using the TMDM with the numerical results obtained using the coupled wave (CW) and rigorous coupled wave (RCW) theories for the efficiencies of the zero, first and second order when a plane wave incides onto a sinusoidal diffracion grating at the second on-Bragg replay angular condition.     

Surface polariton reflection and transmission at a rough surface

A study of surface polariton electric fields incident on a periodic rough surface is done. Expression for the components of the diffuse reflected and transmitted fields are calculated to first order in the roughness amplitude. The frequency dependence of the reflection and transmission factors is found to have a structure within the surface polariton frequency range. Results are illustrated by a rough surface GaP-vacuum system.