基于NURBS建模技术的迭代MoM-PO方法分析电大尺寸平台天线方向图

本文采用基于非均匀有理B样条(NURBS,Non-Uniform Rational Bezier Spline)曲面建模技术的物理光学方法结合矩量法(Method of Moments-Physical Optics)分析位于电大尺寸平台附近天线的辐射方向图.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.采用驻相法计算有理贝齐尔曲面上的物理光学感应电流积分.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,说明本文方法的有效性和优点.     

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。     

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.     

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.     

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.     

MoM/PO混合法中劈绕射电流基函数研究

论文给出了Bilow所提出的绕射电流基函数的理论依据,并把这种电流基函数和Burnside所提出的绕射电流基函数作了比较.考虑到绕射理论和基本电磁理论场量关系,对Bilow绕射电流基函数在过渡区和非过渡区分别进行了修正,提出了新的绕射电流基函数.三种基函数模拟的结果和理想导体劈绕射的解析解进行了比较,证明目前所采用的基函数精度最高.     

MM-PO分析电大天线-载体系统的电磁特性

针对电大尺寸目标体的电磁散射和辐射特性,在以处理表面积分方程的矩量法(Moment method,MM)为代表的低频法基础上,将物理光学法(Physical Optical Method,PO)与之有机结合起来,构成MM-PO混合法,对局部区域较为平坦的大型反射面天线、阵列以及载体系统电磁辐射或散射特性进行了仿真研究。结果表明该混合法对于快速有效地分析该类问题具有良好的适用性。     

复杂散射环境中MoM与UTD混合方法的PO扩展

本文提出利用物理光学PO可扩展MoM UTD的应用范围 .理论和数值结果表明 ,PO电流的引入抛开了MoM UTD混合中的镜像原则 ,使散射体扩展到任意复杂面 ,以及很好地解决了线天线距离弯曲曲面较近的情况下UTD技术的缺陷 .另外 ,本文指出适当比例的PO区域仍可以较准确地求解MoM区域的电流和阻抗特性 ,使得本文方法变得简单有效 ;这为快速有效地分析复杂电大目标的电磁兼容问题提出了一条新的切实可行的途径     

NURBS曲面RCS的物理光学法混合计算

基于近似驻相法和直接积分法,在利用物理光学法(PO)计算NURBS曲面的雷达散射截面(RCS)的问题中提出一种混合积分法.这种方法既保持积分精度,又提高了计算速度.此外,归纳了七种不适合用一般驻相法处理的剖分面元.同时验证了计算中采用NURBS面元剖分对于提高目标RCS计算精度的作用.     

利用UTD修正的MoM-PO混合算法研究

介绍了利用矩量法(MoM)和物理光学(PO)混合方法处理复杂线体结构的电磁散射问题，提出利用pulse基函数对线电流进行展开，使得处理复杂线体结构问题变得简化，并推导出一般的矩阵方程。然后针对PO在阴影区域失效等问题，利用UTD(一致性几何绕射)对该简化模型结构下的PO区域电流进行了修正，使得其应用范围得到扩展、计算精度得到提高。文中的实例结果与传统的MoM很好的一致，从而说明了该方法的有效性和精确性。     

组合导体平台前线天线的混合MoM-PO分析

运用混合矩量法-物理光学法分析了组合导体平台附近线天线的电磁辐射特性,对线天线采用窄带结构建模,计算时整个区域都选用RWG基函数,避免选用其他形式的基函数,从而简化计算,并推导出计算公式。利用该方法计算了几种导体平台前线天线的辐射特性,通过和MoM、FEKO计算结果的对比,数值结果验证了混合方法的可行性与有效性。     

多频段环焦型椭圆波束天线优化设计

针对小口径低剖面天线的多频段、低旁瓣和高效率的需求,提出一种基于切割赋形环焦天线和非均匀有理B样条（non-uniform rational B-spline,NURBS）曲面的环焦型椭圆波束天线的综合优化设计方法.该方法首先采用样条函数将一维口面场参数化,针对赋形切割环焦天线进行第一次快速优化设计;然后,用NURBS曲面将优化后的天线主副反射面再次参数化,引入多目标优化差分进化算法,以天线效率和第一旁瓣为优化目标,对该环焦型椭圆波束天线进行第二次优化设计.应用该方法设计并加工了一个410 mm×720 mm的环焦椭圆波束天线,工作频率覆盖了Ku/K/Ka三个频段,天线总效率达到49%以上,第一旁瓣低于–14 dB,电压驻波比小于1.44∶1.实测结果和全波仿真结果吻合良好,验证了本文设计方法的有效性.     

Application of physical optics to the RCS computation of bodiesmodeled with NURBS surfaces

The paper presents a method for the computation of the monostatic radar cross section (RCS) of electrically large conducting objects modeled by nonuniform rational B-spline (NURBS) surfaces using the physical optic (PO) technique. The NURBS surfaces are expanded in terms of rational Bezier patches by applying the Cox-De Boor transform algorithm. This transformation is justified because Bezier patches are numerically more stable than NURBS surfaces. The PO integral is evaluated over the parametric space of the Bezier surfaces using asymptotic integration. The scattering field contribution of each Bezier patch is expressed in terms of its geometric parameters. Excellent agreement with PO predictions is obtained. The method is quite efficient because it makes use of a small number of patches to model complex bodies, so it requires very little memory and computing time     

预测反射面天线馈源毁伤效应的混合算法

提出了一种预测反射面天线系统在馈源毁伤状态下辐射特性的混合算法.采用时域有限差分法(FDTD)分析了波导开口辐射器馈源穿孔毁伤时的初级辐射特性,利用物理光学法(PO)和物理绕射理论(PTD)分析了反射面天线的次级辐射特性.并采用非场分裂式完全匹配层(UPML)吸收边界条件、共形网格(Conformalmesh)技术提高计算精度和效率,取得了良好的效果,充分验证了混合算法的有效性.     

The Numerical Simulation of the Broadband Spiral Antenna Design Based on Hybrid Backed-Cavity

In the paper, the hybrid backed-cavity with EBG (Electromagnetic Band-Gap) structure and PEC (Perfect Electronic Conductor) is proposed for Archimedean spiral antenna, which can make the spiral antenna work over the 10:1 bandwidth, without the loss introduced by absorbing materials. Based on the AMC characteristic (Artificial Magnetic Conductor), the EBG is placed in the outer region of backed-cavity to improve the blind spot gain in the low frequency. The PEC at the center of the structure is used to obtain high gain at high frequency. The better antenna performances are achieved in the low profile spiral antenna. A typical spiral antenna with hybrid backed cavity is numerically studied. The novel spiral antenna design with hybrid backed cavity is validated by simulated results.     

Hybrid analysis of reflector antennas including higher order interactions and blockage effects

The analysis of a reflector antenna system consisting of a feeder, a sub-reflector, and a main-reflector in microwave frequency bands, where the electrical dimensions of the antenna become prohibitively large for the use of a rigorous numerical method, has been performed by high-frequency asymptotic techniques (HFATs). As a result, the radiation patterns and input impedances of the antenna system were calculated based on an approximation: the radiation characteristics of the feed, sub-reflector and main-reflector are independent from each other. In this study, as an effort to alleviate the inaccuracy due to the exclusion of higher order mutual interactions existing among those subsystems, three different hybrid methods [finite-element method/method of moment (FEM/MOM) + physical optics (PO), FEM/MOM + geometrical theory of diffraction (GTD), and FEM/MOM + PO + physical theory of diffraction (PTD)] are introduced in the context of an iterative algorithm. The interactions between the feed and sub-reflector are accounted by a hybrid method which combines the FEM with the MOM; FEM/MOM. Whereas, the interactions between the objects in the FEM/MOM domain and the main-reflector are taken into account through the iteration: the fields and currents in the FEM/MOM domain are updated using the fields and currents obtained from the HFAT domain and vise-versa. These three methods are applied to two-dimensional reflector configurations, and corresponding results are compared in terms of accuracy and efficiency. The accuracy of the hybrid methods, especially those of FEM/MOM + GTD and FEM/MOM + PO + PTD, is found to be comparable to that of a rigorous numerical method. Furthermore, their computational costs are almost independent to the size of the main-reflector and to the distance from the feed point to the main-reflector.     

Method based on physical optics for the computation of the radar cross section including diffraction and double effects of metallic and absorbing bodies modeled with parametric surfaces

A method to compute the monostatic radar cross section (RCS) of complex bodies modeled by nonuniform rational B-spline (NURBS) surfaces is presented. The bodies can be covered by any kind of radar absorbing material (RAM) with electric and/or magnetic losses. Physical optics (PO) is used to obtain the scattered field of each surface. Fresnel coefficients are included in the stationary phase method (SPM) in order to take into account the effect of the RAM material. The contribution of diffraction by edges and double effects is also considered, improving the results of the PO approach. The diffraction is computed by the equivalent current method (ECM). A combination of geometrical optics (GO) with PO and ECM is used for the double reflection and double interaction between edges and surfaces respectively. Some simple cases are shown to validate the proposed method. The reliability of the method to analyzing the effect of covering a realistic target with RAM is also illustrated.     

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)。     

Computation of RCS of targets modelled with trimmed NURBS surfaces

A novel technique for the monostatic radar cross-section (RCS) computation of complex targets modelled with trimmed nonuniform rational B-spline (NURBS) surfaces is proposed using physical optics (PO). The stationary phase method (SPM) is demonstrated to be invalid in evaluation of the PO integral over trimmed surfaces. Thus a new method, which combines SPM with the Gordon method (namely SPM-Gordon) is presented as a substitute and good candidate. Examples show that excellent accuracy is obtained.