任意形状电大散射体附近天线受扰方向图的快速分析

该文采用基于非均匀有理B样条曲面(NURBS)建模的物理光学方法结合矩量法(MoM-PO)分析任意形状电大散射体附近天线的受扰方向图。采用插值驻相点技术加快了方向图的计算速度。文章推导了基于有理贝齐尔曲面的物理光学散射场计算公式,采用驻相法(SPM)计算有理贝齐尔曲面上的物理光学感应电流积分从而得到物理光学散射场,并利用物理光学散射场迭代矩量法区域的电压矩阵。通过与传统平面片建模的物理光学方法的计算结果对比,说明该文方法的有效性和计算速度快的优点。     

高阶MoM及其与PO的混合法计算电磁散射问题

本文提出了一种新的以高阶矩量法(MoM)与物理光学法相结合的混合法(MoM-PO).该方法采用曲面参数化的离散方法,保证了建模的精确性.计算过程中将散射表面灵活划分为MoM区和PO区,在各自区域可以灵活确定离散单元的大小和密度.MoM区域的高阶矩量法,采用基于Lagrange插值的高阶矢量基函数,结合点匹配技术,比传统的高阶法简单,易于实现.计算结果表明,本文的高阶矩量法及其与物理光学法结合的混合方法能准确有效的计算目标的电磁散射特性.     

NURBS曲面建模的电大目标的宽带RCS快速计算

该文采用物理光学方法(PO),快速计算了非均匀有理B样条 (NURBS) 曲面建模的电大目标的时域瞬态散射和宽带雷达截面(RCS)。通过对频域物理光学散射场表达式进行逆傅里叶变换推导出卷积形式的瞬态散射表达式;对频域物理光学积分进行逆傅里叶变换得到时域物理光学积分的表达式。为了避免数值积分的使用,将NURBS曲面等参数离散为一组三角面片,运用Radon变换得到了时域和频域物理光学积分的精确闭式表达式。遮挡消隐时使用改进的z-buffer方法进行了加速。对时域瞬态散射场快速傅里叶变换得到目标的宽带RCS。文中计算了高斯脉冲平面波入射下模型的瞬态散射响应和宽带RCS,数值结果表明该文方法具有很高的计算精度,且计算速度快于传统时域物理光学法(TDPO)。     

平板缝隙阵列天线的雷达截面积分析

本文用矩量法、物理光学法及消奇点技术,对大型平板缝隙阵列天线的散射进行了研究,计算了典型阵列的雷达截面积(RCS),并进行了实验验证,两者趋势基本一致。本文计算结果表明,平板对散射场的贡献(结构项)远大于缝隙对散射场的贡献(模式项)。     

LUDWIG算法的改进与应用

Ludwig积分在雷达散射截面(RCS)计算中被广泛应用.传统的Ludwig积分针对基于三角形面元的模型剖分技术,因此主要用于平面片积分.三角形面片由于是平面片,因此无法对复杂模型准确建模.本文改进了Ludwig积分,并将其用于基于NURBS(非均匀有理B样条)技术的曲面积分.通过计算实例可以看出改进后的Ludwig积分形式适用于基于曲面建模技术的物理光学(PO)算法.     

IPO-MoM混合法分析开槽电大目标的电磁散射

本文利用迭代物理光学法（ＩＰＯ）与数值方法相结合的混合方法计算二维开槽民大目标的电磁散射,首先根据等效原理将散射场进行分解,分别采用ＩＰＯ法和矩量法（ＭｏＭ）计算槽缝填充的电大目标和槽缝的散射,并在口径处应用广义网络原理处理耦合问题,数据结果表明本文方法是准确和高效的。     

IPO—MoM混合法分析开槽电大目标的电磁散射

本文利用迭代物理光学法（ＩＰＯ）与数值方法相结合的混合方法计算二维开槽民大目标的电磁散射,首先根据等效原理将散射场进行分解,分别采用ＩＰＯ法和矩量法（ＭｏＭ）计算槽缝填充的电大目标和槽缝的散射,并在口径处应用广义网络原理处理耦合问题,数据结果表明本文方法是准确和高效的。     

一种用于复杂目标高频电磁散射计算的高效方法

提出一种快速准确计算电大复杂目标高频电磁散射的方法.采用面片模型,对于不会造成二次反射的面片,用物理光学法直接计算其散射场;对于能够造成二次反射的面片,从其表面发出射线管,用弹跳射线法计算多次反射效应.还给出了典型目标单站雷达散射截面计算结果.通过与纯粹弹跳射线法、矩量法以及测量值的比较,验证了该方法的有效性和准确性.     

二维组合目标RCS的MoM-PO混合法分析

利用矩量法求解二维目标结构的电磁散射问题,并在电流基混合法的基础上,对矩量法和物理光学混合法进行了研究,推导出了一种矩阵方程表达式,并通过仿真实例分析了以物理光学混合法计算多组合复杂目标散射时,物理光学区域与矩量法区域的划分方式,仿真结果证明,此区域划分结论的准确性、可行性。     

阻抗劈散射的MM-PO混合算法研究

本文系统地研究了各向异性阻抗劈绕射的矩量法-物理光学(MM-PO)混合算法.首先研究了任意各向异性阻抗面的物理光学模型,推导出表面物理光学等效电磁流计算式.其次,提出了一种有效的含Hankel函数的弱振荡被积函数无穷积分处理方法.最后,将作者已公开发表的修正绕射电流基函数用于各向异性阻抗劈散射场研究,数值结果和已知的一致性绕射理论结果高度吻合.     

Analysis of Antenna Around NURBS Surface With Hybrid MoM-PO Technique

The hybrid method of moments and physical-optics (MoM-PO) approach is used to calculate the radiation pattern of antenna around arbitrarily shaped structure. The structure is modeled with Non-uniform rational B-spline (NURBS) surfaces. The hybrid MoM-PO approach is implemented by modifying the impedance matrix of the MoM region with PO. Formula for the scattered PO field is deduced for cases of antenna located around NURBS surface. The stationary phase method (SPM) is applied for the integral of the induced current in the PO region. Results obtained from this method and from MoM-PO approach based on triangle facet model agree well while the former is more efficient in execution time     

Combining the Higher Order Method of Moments With Geometric Modeling by NURBS Surfaces

This paper introduces the nonuniform rational B-spline (NURBS) surfaces to improve the geometric modeling of the higher order method of moments (MoM). The electric field integral equation (EFIE) is discretized by the hierarchical higher order basis functions and converted to a matrix equation. Then the elements of the impedance matrix are efficiently evaluated by a new set of formulas. The bistatic radar cross sections (RCS) obtained by this new technique are compared with those obtained by the commonly used higher order MoM. The example of a cylinder and a missile shows excellent accuracy of the NURBS surfaces and that of the resultant RCS. Moreover, this new technique can fully exploit the flexibility of the higher order basis functions when the surface is highly curved, whereas the commonly used higher order MoM can not.      

矩量法-物理光学混合算法计算多尺度复合目标电磁散射场

基于电流的矩量法（method of moments，MoM）和物理光学法（physical optics，PO）的混合算法是目前求解电中尺度和多尺度目标电磁散射和辐射的主要方法，在计算MoM区和PO区的耦合作用时需要对PO区域进行亮区判断.传统纯CPU亮区判断方法时间复杂度为O（N2），时间消耗随着面片数量N增加而急剧增大.文中通过GPU渲染功能及对深度缓冲区（zbuffer）的利用，对PO亮区判断过程进行加速，亮区消耗时间与面片数量无直接联系，在面片数量达到105数量级以上加速优势明显.将加速的MoM-PO混合方法应用于复杂目标与粗糙面的组合情况，对比多层快速多级子（multi level fastmultipole method，MLFMA）方法，相比于纯PO方法，获得较高的精度.相比于单一算法，混合算法有明显优势.     

有理B样条函数在传感器线性化中的应用

提出一种基于有理B样条函数的传感器线性化方法。B样条函数具有良好的光滑性及逼近性,而非均匀有理B样条进一步引入权因子以及函数节点的非均匀化,使得每个控制点对整个曲线的影响更加灵活,曲线的连接、光滑更容易实现。因此,非均匀有理B样条能够保证建模精度,适用于传感器建模以实现线性化。详细介绍了基于非均匀有理B样条的传感器线性化方法,利用实际传感器输入/输出数据进行了实验研究,并与神经网络方法做了比对。理论和实验结果表明提出的方法在传感器的线性化应用中具有计算简便,校正精度高的优点。     

利用近场Gordon积分近似的矩量法-物理光学混合方法

针对电大金属目标的电磁计算, 提出了一种新的矩量法-物理光学(Method of Moment-Physical Optics, MoM-PO)混合方法, 以解决传统的MoM-PO混合法中PO区域和MoM区域耦合项的计算时间过长问题.用Gordon积分计算目标的PO区域对MoM区域的作用, 并加入近场近似处理.该方法避免了传统的MoM-PO混合法中耦合项积分方程的计算, 加大PO区域的剖分面元的大小, 能够有效地降低矩阵规模和未知数个数, 因而降低了内存, 减少了计算时间.数值算例结果表明, 近场Gordon积分近似的MoM-PO混合方法能够有效地减少耦合项的计算时间, 并能达到理想的精度.     

Higher order hybrid method of moments-physical optics modeling technique for radiation and scattering from large perfectly conducting surfaces

An efficient and accurate higher order, large-domain hybrid computational technique based on the method of moments (MoM) and physical optics (PO) is proposed for analysis of large antennas and scatterers composed of perfectly conducting surfaces of arbitrary shapes. The technique utilizes large generalized curvilinear quadrilaterals of arbitrary geometrical orders in both the MoM and PO regions. It employs higher order divergence-conforming hierarchical polynomial basis functions in the context of the Galerkin method in the MoM region and higher order divergence-conforming interpolatory Chebyshev-type polynomial basis functions in conjunction with a point-matching method in the PO region. The results obtained by the higher order MoM-PO are validated against the results of the full MoM analysis in three characteristic realistic examples. The truly higher order and large-domain nature of the technique in both MoM and PO regions enables a very substantial reduction in the number of unknowns and increase in accuracy and efficiency when compared to the low-order, small-domain MoM-PO solutions. The PO part of the proposed technique, on the other hand, allows for a dramatic reduction in the computation time and memory with respect to the pure MoM higher order technique, which greatly extends the practicality of the higher order MoM with a smooth transition between low- and high-frequency applications.     

A dynamic model for predicting the motion of solder droplets during assembly

The dynamic motion of a solder droplet during assembly is a complex, unsteady, free surface problem involving surface tension and viscous effects. The motion of the droplet is coupled with the motion of the component or chip to be assembled and involves dynamic contact lines. A methodology based on a non-uniform rational b-spline (NURBS) discretization has been developed for the dynamic analysis of the droplet motion. A surface energy based formulation has been developed to incorporate the surface tension effects. The developed methodology leads to an updated Lagrangian scheme with a Galerkin in space and Least square in time formulation. The NURBS representation used for the spatial discretization enables the method to handle problems involving complex droplet geometries. The ability of the NURBS representation to provide both global and local control, along with the least square method used in this methodology, enables us to develop an unconditionally stable time integration scheme which can be optimized to achieve desired accuracy and numerical dissipation efficiently. A sample problem of droplet shape evolution has been solved to demonstrate the path prediction capability of the proposed methodology. In future, the method can be applied to solve various real world dynamic motion problems associated with droplets.     

Analysis of antennas on board arbitrary structures modeled by NURBSsurfaces

An accurate and efficient numerical scheme has been developed for predicting high-frequency radiation patterns of antennas mounted on arbitrary structures modeled by parametric surfaces. The method is based on geometric optics (GO) and the uniform theory of diffraction (UTD). Nonuniform rational B-splines (NURBS) surfaces have been used to describe the geometry of the structure. As most of the computer-aided geometric design (CAGD) tools available in the industry are biased on NURBS, the scheme can perform the electromagnetic analysis without any new or additional remeshing of the geometrical model. A special ray-tracing technique that combines GO and UTD with NURBS has been developed. This technique uses some selective criteria in order to identify rapidly the NURBS where a ray impact may occur. Impact point coordinates are obtained by means of an optimization procedure based on the conjugate gradient method (CGM). The accuracy and efficiency of the approach are shown comparing it with other methods     

基于MoM-PO的各向异性阻抗面电磁散射研究

该文基于阻抗边界条件(IBC),采用矩量法-物理光学(MoM-PO)混合算法,研究了3维各向异性阻抗面的电磁散射特性。根据表面等效原理,将空间散射场等效为MoM区和PO区电磁流的辐射场,感应电磁流以3维RWG (Rao-Wilton-Glisson)矢量基函数展开。以表面阻抗并矢表征电磁参数,给出典型各向异性阻抗面目标的电磁仿真算例,结果与Mie级数等精确解吻合良好,显示了该方法的有效性。