脉冲激光入射下介质薄膜双频互相关散射截面及功率展宽

 结合特殊的镀金聚酯薄膜表面的粗糙度和半球反射率,依据基尔霍夫近似及粗糙面脉冲散射互相关函数,数值计算了脉冲激光（1.06 μm）在不同入射角照射下该材料薄膜双频互相关散射截面随相干带宽频差和散射角的变化情况。并给出δ脉冲和高斯脉冲波入射下,其散射功率随时间和散射角的波形分布。计算结果表明：该薄膜材料激光双频互相关散射截面在镜反射方向有最大的散射峰值,在非镜反射方向上,其散射值随相干带宽频差的增大迅速减小,当窄脉冲垂直入射时,粗糙面散射功率展宽现象明显。     

脉冲波在空间等离子体介质中传播的矩分析及其应用

根据随机介质波传播理论，开展脉冲波在星际空间等离子体介质中的传播特性的分析方法研究.在强起伏条件下，推导双频互相关函数的二阶矩和四阶矩方程，利用不同电子密度模型，计算双频衍射强度相关函数和闪烁指数，并应用到闪烁的动态谱观测和相关分析中，得到自相关图谱、相关带宽和相关时间等闪烁特征参数，为脉冲在等离子体中的传输特性的分析，提供必要的理论基础.     

湍流大气脉冲波束经漫射目标散射的统计特性

基于广义惠更斯-菲涅耳原理和粗糙面散射理论,考虑发射机到目标和目标到接收机双程路径中大气湍流对光束传输的影响,研究了脉冲波束经漫射目标散射后的二阶统计特性。推导了接收机处双点双频互相干函数(MCF)的表达式,计算得到平均强度以及复相干度因子,并对此进行数值模拟。结果表明,相位结构函数占优情况下,接收面的脉冲平均强度与大气湍流水平无关;但脉冲相干带宽与湍流强度、中心频率、湍流外尺度、观察处两点间距离、频差有关。     

脉冲波在强起伏湍流介质中的传播特征分析

提出分析脉冲波在强起伏湍流介质中传播的理论和数值方法,利用不同的波结构函数模型,计算了球面脉冲波在湍流介质中传播的双频互相关函数,给出了广延介质和薄屏结构的脉冲展宽和闪烁系数的数值结果,并与观测结果对比 关键词： 脉冲波 湍流介质 双频相关函数 脉冲展宽 闪烁系数     

随机Gauss粗糙面上三维导体目标散射差场的随机泛函解析计算方法

提出一种解析的随机泛函方法(SFA),计算导体Gauss粗糙面上三维导体目标的复合电磁散射.推导粗糙面的随机Green函数,用一种新的四路径模型描述面体复合散射机理,用SFA求解双站差场雷达散射截面.以导体球目标为算例,与其他数值计算方法比较后验证了SFA的有效性与准确性,同时讨论了粗糙度、体目标尺寸以及距离粗糙面高度等参量变化对结果的影响,给出复杂形状体目标的双站差场雷达散射截面的空间角分布. 关键词： 随机泛函方法 粗糙面随机Green函数 差场雷达散射截面 面体复合散射     

任意体目标激光波束的散射场量统计矩及非相干分量比

推导了任意体目标高斯波束的散射场量本征统计矩.以椭球体目标为例,通过数值方法研究体目标在激光波束入射下,三种不同材料的单站散射场量互相关函数、协方差及其非相干散射分量比.数值计算椭球类目标非相干散射分量比随散射角的变化情况,结果表明:目标非相干分量在总散射分量中的比重较小,目标姿态、表面材料及其粗糙度对其散射场量非相干分量比有影响,粗糙面越光滑,非相干分量比越小;金属类材料比非金属镀漆材料的非相干分量比小;具有缩比关系的目标散射场量的非相干分量比的分布趋势基本相同,仅其数值略微有些差别.     

指数型粗糙地面与上方矩形截面柱宽带电磁散射的时域有限差分法研究

采用土壤介电常数的四成分模型表示实际地面的介电特性,应用指数型分布粗糙面模型和Monte Carlo方法模拟实际的粗糙地面,运用时域有限差分方法研究了微分高斯脉冲波照射时粗糙地面与上方目标的宽带电磁散射问题,得出了后向复合散射系数的频率响应曲线,计算了后向复合散射系数随粗糙地面高度起伏均方根、相关长度、土壤湿度、目标尺寸、高度、倾角等几何参数及介电参数等的变化情况,并做了详细分析与讨论,得到了指数型粗糙地面与上方目标宽带电磁散射特性.     

刻蚀波导粗糙面散射的矩量法数值分析

用矩量法对刻蚀波导粗糙面的散射特性做出了精确的数值分析基于MonteCarlo方法建立高斯粗糙面数学模型,证明矩量法在分析刻蚀波导散射问题时,是可以应用于不同起伏高度、不同入射角的一种精确而高效的数值方法对不同起伏高度的两种偏振态,分别在小角度入射和大角度入射两种情况的随机散射特性应用矩量法做出了分析并以基于二氧化硅波导的EDG器件为例,分析了由于波导壁粗糙对于器件频谱响应特性的影响.     

对“生物组织超声散射的一种改进模式”的质疑

波在随机介质中散射和传输的理论,近年来得到了广泛的研究和应用。随机介质一般可分为离散的散射粒子,连续的随机介质,以及随机粗糙面等。大量的自然物质,比如地表中的植被、冰雪,生物组织的血和肝脏,以及一些工程材料等,都可看作是连续的随机介质。其介电常数的起伏(如植被),密度起伏(如湍流),或弹性起伏(如生物组织)等,对波产生了散射。计算波的散射一般有辐射传输理论和波的解析理论。在波的解析理论中,有微扰迭代法,或玻恩近似法,以及计算散射强度的广义玻恩近似等。用以计算一阶,二阶,或更高阶的双向和后向散射系数。     

小斜率近似在粗糙面激光散射BRDF计算中的应用

基于小斜率近似法建立了粗糙面激光散射双向反射分布函数的数学模型,采用该模型计算了粗糙度参量已知的合金铝样片的双向反射分布函数值,计算结果与实测结果吻合良好,验证了模型的正确性.研究了粗糙度参量和样片光学常量对双向反射分布函数的影响,结果表明,粗糙面激光散射的双向反射分布函数与表面高度起伏均方根、自相关长度及样片光学常量相关.当入射波长一定时,高度起伏均方根越大,或者自相关长度越小,粗糙面粗糙度越大,入射激光的漫反射特性越强,双向反射分布函数峰值越小且分布越分散;当粗糙度一定时,样片光学常量对双向反射分布函数影响较大,粗糙面对入射激光复折射率的虚部越大,样片双向反射分布函数的峰值越小,当粗糙度参量增大时,样片光学参量对双向反射分布函数的影响逐步减弱.     

Perturbation theory results for the diffuse scattering of light from two-dimensional randomly rough metal surfaces

Using the unitarity and reciprocity preserving formulation of Brown et al a perturbation treatment, correct to fourth order in the surface profile function, is given for the scattering of electromagnetic waves from a weakly rough, two-dimensional, random metal surface. In this formulation the boundary conditions on the electromagnetic fields are satisfied using the extinction theorem in conjunction with the Rayleigh hypothesis and the vector equivalent of the Kirchhoff integral. The theory is applied to, and results are presented for, several different types of rough surfaces which are characterized by power spectra that are extensions to two-dimensional random surfaces of the power spectrum of some one-dimensional random surfaces recently fabricated by West and O'Donnell. These surfaces, which can be realized experimentally, favor coherent, interferent, multiple scattering of electromagnetic waves via surface plasmon polaritons in intermediate states, and clearly exhibit enhanced backscattering caused by the surface plasmon polariton mechanism. Theoretical results are presented for silver surfaces at optical wavelengths.     

Pulse broadening and two-frequency mutual coherence function of the scattered wave from rough surfaces

Analytical expressions for the two-frequency mutual coherence function and angular correlation function of the scattered wave from rough surfaces based on the Kirchhoff approximation are presented. The coherence bandwidth depends on the illumination area as well as on the incident and scattered angles and the surface characteristics. Scattered pulse shapes are calculated as the Fourier transform of the two-frequency mutual coherence function. Calculations based on analytical solutions are compared with millimetre wave experimental data and Monte Carlo simulations showing good agreement.     

Perturbation theory results for the diffuse scattering of light from two-dimensional randomly rough metal surfaces

Abstract

Using the unitarity and reciprocity preserving formulation of Brown et al a perturbation treatment, correct to fourth order in the surface profile function, is given for the scattering of electromagnetic waves from a weakly rough, two-dimensional, random metal surface. In this formulation the boundary conditions on the electromagnetic fields are satisfied using the extinction theorem in conjunction with the Rayleigh hypothesis and the vector equivalent of the Kirchhoff integral. The theory is applied to, and results are presented for, several different types of rough surfaces which are characterized by power spectra that are extensions to two-dimensional random surfaces of the power spectrum of some one-dimensional random surfaces recently fabricated by West and O'Donnell. These surfaces, which can be realized experimentally, favor coherent, interferent, multiple scattering of electromagnetic waves via surface plasmon polaritons in intermediate states, and clearly exhibit enhanced backscattering caused by the surface plasmon polariton mechanism. Theoretical results are presented for silver surfaces at optical wavelengths.     

Pulse broadening and two-frequency mutual coherence function of the scattered wave from rough surfaces

Abstract

Analytical expressions for the two-frequency mutual coherence function and angular correlation function of the scattered wave from rough surfaces based on the Kirchhoff approximation are presented. The coherence bandwidth depends on the illumination area as well as on the incident and scattered angles and the surface characteristics. Scattered pulse shapes are calculated as the Fourier transform of the two-frequency mutual coherence function. Calculations based on analytical solutions are compared with millimetre wave experimental data and Monte Carlo simulations showing good agreement.     

Numerical, analytical, and experimental studies of scattering from very rough surfaces and backscattering enhancement

This paper Presents numerical simulations, theoretical analysis, and millimeter wave experiments for scattering from one-dimensional very rough surfaces. First, numerical simulations are used to investigate the effects of roughness spectrum, height variation, interface medium, polarization, and incident angle on the backscattering enhancement. The enhanced backscattering due to rough surface scattering is divided into two cases; the RMS height close to a wavelength and RMS slope close to unity, and RMS height much smaller than a wavelength with surface wave contributions. Results also show that the enhancement is sensitive to the roughness spectrum. Next, a theory based on the first- and second-order Kirchhoff approximation modified with angular and propagation shadowing is developed. The theoretical solutions provide a physical explanation of backscattering enhancement and agree well with the numerical results. In addition to the scattering of a monochromatic wave, the analytical results of the broadening and lateral spreading of a pulsed beam wave scattering from rough surfaces are also discussed. Finally, the existence of backscattering enhancement from one-dimensional very rough conducting surfaces with exact Gaussian statistics and Gaussian roughness spectrum is verified by a millimeter-wave experiment. Experimental results which show enhanced backscattering for both TE and TM polarizations for different angles of incidence are presented.     

雪层覆盖地面电磁散射的矩量法

为实现分层介质粗糙面电磁散射的矩量法研究,给出一种分层介质粗糙面电磁积分方程的区域分解方法.将格林定理应用于粗糙面所分的各子空间,结合波动方程和格林函数推导分层粗糙面的电磁积分方程,利用矩量法对其进行离散,数值计算得到雪层覆盖地面散射系数的角分布曲线,其中,粗糙表面由一维带限Weierstrass分形谱和Monte Carlo方法模拟.通过与时域有限差分法数值结果的比对,验证该方法的准确性,并分析散射系数随雪和地面参数、介质参数以及入射波参数的变化,获得了较完整的散射特征.     

任意形状凸粗糙物体高斯光束相干散射研究

研究了任意形状凸粗糙物体对高斯光束的相干散射特性。由平面波谱展开法推导出粗糙面高斯波束散射场表达式．并根据物理光学近似和稳相法原理得到相干散射截面的理论公式。与平面波解不同的是,在公式中引入了波束因子这一表征波束作用的重要参量,该参量与束腰半径、束腰中心与物体中心距离和物体照射面积以及入射、散射方向有关。最后数值计算了1．06μm激光波束对粗糙球的散射,分析了波束因子．介电常量和极化状态对红外激光相干散射截面的影响,重点讨论了波束因子的变化规律。分析表明．当波束半径远大于物体尺寸时,波束入射的结果可退化到平面波情况。     

Numerical,analytical, and experimental studies of scattering from very rough surfaces and backscattering enhancement

Abstract

This paper Presents numerical simulations, theoretical analysis, and millimeter wave experiments for scattering from one-dimensional very rough surfaces. First, numerical simulations are used to investigate the effects of roughness spectrum, height variation, interface medium, polarization, and incident angle on the backscattering enhancement. The enhanced backscattering due to rough surface scattering is divided into two cases; the RMS height close to a wavelength and RMS slope close to unity, and RMS height much smaller than a wavelength with surface wave contributions. Results also show that the enhancement is sensitive to the roughness spectrum. Next, a theory based on the first- and second-order Kirchhoff approximation modified with angular and propagation shadowing is developed. The theoretical solutions provide a physical explanation of backscattering enhancement and agree well with the numerical results. In addition to the scattering of a monochromatic wave, the analytical results of the broadening and lateral spreading of a pulsed beam wave scattering from rough surfaces are also discussed. Finally, the existence of backscattering enhancement from one-dimensional very rough conducting surfaces with exact Gaussian statistics and Gaussian roughness spectrum is verified by a millimeter-wave experiment. Experimental results which show enhanced backscattering for both TE and TM polarizations for different angles of incidence are presented.     

分形分层粗糙面电磁波透射特性的混合算法

运用基于矩量法(method of moment,MoM)结合基尔霍夫近似(Kirchhoff approximation,KA)的混合算法研究一维带限Weierstrass分形分层介质粗糙面的电磁波透射问题.在混合算法中将上层粗糙面和下层粗糙面分别划分到MoM区域和KA区域,数值计算得到透射系数随透射波的散射角的变化,讨论粗糙面分维数、高度起伏均方根、底层介质介电常数、中间层介质介电常数和厚度、入射波频率对透射系数的影响,结果表明上层粗糙面参数对透射系数有显著影响,而下层粗糙面参数对透射系数影响较小.