基于矩量法的机身截面电磁散射特性分析

机身截面隐身设计是飞行器外形隐身设计的一个重要的方面。设计＂凹曲面＂、＂凸曲面＂和＂平板曲面＂三种典型的隐身飞机机身截面轮廓,采用矩量法（MoM）计算三种轮廓的雷达散射截面（RCS）,并对表面电流密度分布进行研究。分析RCS随方位角的变化特性,比较各截面的隐身性能。分析结果表明：凹曲面和凸曲面机身可以有效降低侧向RCS,其中凸曲面的隐身效能更佳;平板曲面机身除正下方一个很窄的波峰外,侧向和下方RCS都很小,在对抗仰视雷达时具有很好的隐身性能。     

用改进MMN的MLFMA分析外形隐身的多频减缩特性(英文)

为精确高效计算多极子模式数(MMN),提出了3个控制因子,详细研究了控制因子对多层快速多极子算法(MLFMA)的积分采样点数和计算精度的影响;基于控制因子,提出一种改进措施,可在保证精度的前提下,显著提高计算效率、有效降低内存。对3种飞行器,采用改进的MLFMA,分析了多频散射特性,发现飞行器外形在不同频率区域均可影响雷达散射截面(RCS)。研究了外形隐身布局和考虑隐身的常规布局的RCS多频减缩规律,结果表明,外形隐身在谐振区和高频区具有较大的RCS减缩效果,在瑞利区仍具有较弱影响;与吸波相比,外形隐身可产生较广的多频RCS减缩。以上结果可用于飞行器在多频段或全频段的隐身设计。     

飞行器目标频率响应散射特性

为研究飞行器目标散射频率响应特性和隐身、反隐身原理,对两种飞行器平板缩比模型进行了系列测试和计算研究,推导和验证了简单目标（金属球）的频率响应特性在飞行器目标上的适用性,并推广到如飞行器复杂散射体的分析。提出了划分瑞利区、谐振区、高频区的新方法,指出飞行器具有隐身能力极限的概念;研究了目标多频散射的极化特性,发现频率降低时,水平极化下全向雷达散射截面（RCS)均值逐渐增大,垂直极化时减小。得到了两种飞行器目标处于瑞利区、谐振区时依靠外形隐身所能达到的RCS极限值。结果分析表明,在瑞利区和谐振区,目前的外形隐身措施存在不能超越的极限,在这两个区域的雷达隐身需结合外形和材料隐身技术。     

基于流体力学和电磁学方程数值求解的飞行器气动隐身一体化设计

介绍了基于流体力学和电磁学方程数值求解的飞行器气动隐身一体化设计方法.首先介绍了精度相对较高的飞行器气动和隐身特性数值计算方法,即,对于气动性能计算,求解的是结构网格上的NS方程加BL代数湍流模式;对于隐身特性计算,是用时域有限体积法来求解电磁学微分方程以获取RCS值.由于采用了高精度的数值方法,优化时单一设计点的气动性能计算和隐身性能计算变得较为耗时,因此在进行多目标遗传算法优化时本文采用了一种"少量样本计算+Kriging响应面模型建模"的优化策略.针对某类似X-47飞行器的一体化设计算例计算表明,上述设计方法是可行的,实现了优化设计中引入高精度的性能分析方法,有望提高优化结果的可信度.     

高超声速滑翔飞行器锐边化气动隐身一体化设计

隐身性能是影响高超声速武器作战效能的关键指标之一，为提高高超声速滑翔飞行器的生存及突防能力，以HTV-2飞行器为初始外形，引入锐边化设计思想，提出一种兼具良好隐身性能的气动外形。首先采用CFD数值模拟和高频近似算法，对初始外形气动特性及隐身特性进行评估。接着通过截取重要截面轮廓线，在轮廓线上均匀选取控制点。最终将离散点重构成三维外形，设计了一种锐边化飞行器外形。在此基础上计算评估了锐边化外形的升阻特性及雷达散射截面（RCS）。与原外形对比可知锐边化外形气动性能变化较小，气动力系数变化量不超过7%；同时在主要威胁区域（即俯仰角±30°、偏航角±60°角域）内飞行器的RCS均值显著降低，平均降幅超20%。此外为消除边缘绕射的影响，通过倒圆角的方式对锐边化外形的棱边进行了圆润化处理，实现了主要威胁区域内RCS均值的进一步减缩，平均降幅超过60%。此外进一步研究了在不同位置倒圆角及圆角半径对飞行器隐身特性的影响。结果表明在尾部截面倒圆角能较大程度改善飞行器的隐身特性，圆角半径与飞行器特征长度之比为1.35%时较佳。     

两种通用直升机雷达散射特性计算与分析

建立了两种通用直升机几何外形模型,采用物理光学法和等效电磁流法进行雷达散射特性计算分析.结果表明,两种通用直升机雷达散射水平较高,头向/尾向及侧向RCS分别达到数十和数百平方米;大曲率半径曲面机身比倾斜平面式机身散射强;可收放式起落架可以改善雷达隐身性能.本文结果对开展通用直升机雷达隐身设计研究具有重要的参考价值.     

MoM法分析目标面-线-面结构的散射特性研究

在准确分析目标隐身性能的基础上,对于目标面-线-面结构中导线与导体的连接问题,采用矩量法(MoM)进行分析.通过将结构中的导体与导线离散化,结合Costa基函数,很好地解决了目标面-线-面结构连接域中电流不连续的关键问题,获得了目标结构的矩量解和散射场.最后,通过Matlab编程与HFSS仿真进行比对,计算结果基本吻合,证明了结构中导线的引入使得隐身目标的电磁散射特性发生明显变化,并且验证了MoM法及Costa基函数在面-线-面结构散射场计算中的有效性和准确性,为隐身目标复杂结构散射特性研究提供了一种新的计算方法.     

飞行器气动与隐身性能一体化优化设计方法研究

首先根据多学科综合优化设计理论 ,针对飞行器外形布局设计特点 ,开展飞行器气动与隐身性能综合优化设计方法研究。分别采用线化格林函数法与粘性修正相结合以及物理光学法与等效电流法相结合的方法 ,建立了飞行器气动力特性与隐身特性的计算方法。利用多学科优化设计理论和遗传优化算法 ,开展了关于飞行器气动与隐身性能的协同优化设计方法研究。取得了初步的研究结果。     

考虑旋翼调制影响的直升机RCS特性分析及评估

考虑旋翼调制的影响,建立了适合于直升机全机雷达散射截面(RCS)特性计算的“面元-边缘法”.兼顾计算效率和精度,在外形变化剧烈地区域,网格进行加密处理,并保证电磁网格密度和尺度满足雷达波波长大小的比例关系.以桨盘倾倒方式计入桨叶的挥舞和变距运动,采用准静态法模拟旋翼对全机RCS特性的影响.分析了某直升机RCS极化、姿态、频率响应特性,并根据直升机RCS和雷达探测距离关系,提出了4级预警机制和角域范围.研究表明:旋翼转动时全机RCS动态响应具有连续性和对称性,振荡区散射水平强,RCS幅值为-5~12dB ·m2;奇数片桨叶比偶数片桨叶的RCS减缩2~5dB ·m2,且有利于控制直升机RCS包络线和散射峰值的时域响应,增强雷达隐身性能.      

基于离散伴随方程的三维雷达散射截面几何敏感度计算

针对有限差分法计算雷达散射截面（RCS）梯度效率低，采用高精度雷达散射截面评估时计算代价高的问题，提出了一种基于麦克斯韦积分方程离散伴随方程的RCS梯度高效计算方法。基于伴随方程的梯度计算可以通过一次雷达散射截面求解、一次伴随方程求解获得RCS关于所有设计变量的梯度。其中麦克斯韦积分方程离散伴随方程的形式与原方程基本一致，可以采用矩量法（MOM）及多层快速多极子算法（MLFMA）求解。伴随方程求解计算量与直接雷达散射截面评估基本一致，存储量在直接雷达散射截面评估的基础上增加不明显。通过双椎体模型、导弹模型对基于矩量法、多层快速多极子算法的伴随梯度进行验证，证明了基于伴随方法的RCS梯度计算可以实现复杂外形中RCS梯度的高效、高精度求解，为基于梯度的高精度气动/隐身一体化优化提供了基础。     

基于几何特征的飞行器RCS高效计算方法(英文)

Taking into account the influences of scatterer geometrical shapes on induced currents, an algorithm, termed the sparse-matrix method （SMM）, is proposed to calculate radar cross section （RCS） of aircraft configuration. Based on the geometrical characteristics and the method of moment （MOM）, the SMM points out that the strong current coupling zone could be predefined according to the shape of scatterers. Two geometrical parameters, the surface curvature and the electrical space between the field position and source position, are deducted to distinguish the dominant current coupling. Then the strong current coupling is computed to construct an impedance matrix having sparse nature, which is solved to compute RCS. The efficiency and feasibility of the SMM are demonstrated by computing electromagnetic scattering of some kinds of shapes such as a cone-sphere with a gap, a bi-arc column and a stealth aircraft configuration. The numerical results show that： （1） the accuracy of SMM is satisfied, as compared with MOM, and the computational time it spends is only about 8% of the MOM; （2） with the electrical space considered, making another allowance for the surface curvature can reduce the computation time by 9.5%.     

Multi-frequency RCS Reduction Characteristics of Shape Stealth with MLFMA with Improved MMN

Three new control factors are presented for calculating the multipole mode number (MMN) efficiently and precisely. The effects of these control factors on the number of integral samples and the precision of multilevel fast multipole algorithm (MLFMA) are investigated. A new approach based on control factors which is proven to be able to improve the computational efficiency and reduce the needed memory significantly as well as ensuring the proper precision. For three aircraft models, the improved MLFMA is employed to analyze their multi-frequency scattering characteristics. It is found that aircraft shape can influence radar cross section (RCS) in different frequency zones. Both the multi-frequency RCS reduction characteristics of shape stealth aircraft and the conventional aircraft with stealth design taken into account are investigated, and the results show that shape stealth exhibits significant RCS reduction in the resonance and high-frequency zones, and with a weaker influence in the Rayleigh zone. Compared with radar absorbing material (RAM), shape stealth yields a wider multi-frequency RCS reduction. The above-mentioned results can be applied to stealth design for multiple frequencies or even for all frequencies.     

Influence of aircraft surface distribution on electromagnetic scattering characteristics

In this paper, two typical stealth aircraft concepts (wing fuselage blended and flying-wing) were designed. Then three gradually changed surface distribution models with the same plan-form for each concept were created. Based on the multilevel fast multipole algorithm (MLFMA), the vertical polarization transmitting/vertical polarization receiving (VV) and horizontal polariza-tion transmitting/horizontal polarization receiving (HH) radar cross section (RCS) characteristics were simulated with five frequencies between 0.1 and 1.0 GHz. The influences and mechanisms of aircraft surface distribution on electromagnetic scattering characteristics were investigated. The results show that for the wing fuselage blended concept, the VV RCS of this frequency range is higher than the HH RCS in most cases, while it is just the opposite for the flying-wing concept. As for the two aircraft concepts, the RCS levels of HH and VV both decrease with the frequency increasing, but the HH RCS has a faster downward trend. The surface distribution has little influ-ence on HH RCS characteristics. On the contrary, it has a significant impact on VV RCS charac-teristics, and the amplitude of the VV RCS increases with the surface thickness.     

High-precision RCS measurement of aircraft’s weak scattering source

The radar cross section(RCS) of weak scattering source on the surface of an aircraft is usually less than 40 d Bsm.How to accurately measure the RCS characteristics of weak scattering source is a technical challenge for the aircraft's RCS measurement.This paper proposes separating and extracting the two-dimensional(2D) reflectivity distribution of the weak scattering source with the microwave imaging algorithm and spectral transform so as to enhance its measurement precision.Firstly,we performed the 2D microwave imaging of the target and then used the 2D gating function to separate and extract the reflectivity distribution of the weak scattering source.Secondly,we carried out the spectral transform of the reflectivity distribution and eventually obtained the RCS of the weak scattering source through calibration.The prototype experimental results and their analysis show that the measurement method is effective.The experiments on an aircraft's low-scattering conformal antenna verify that the measurement method can eliminate the clutter on the surface of aircraft.The precision of measuring a 40 d Bsm target is 3–5 d B better than the existing RCS measurement methods.The measurement method can more accurately obtain the weak scattering source's RCS characteristics.     

飞行器气动-隐身综合性能评估的灰关联度分析模型

 采用结构化网格和求解Navier-Stokes方程的方法,进行了无人机和巡航导弹气动性能计算,并数值模拟了其气动流场,所得结果与工程实际现象吻合;分别建立了无人机和巡航导弹的曲面及面劈模型,根据GRECO-WM方法,计算了其表面全向雷达散射截面(RCS)值;基于灰色系统的灰关联度分析理论,提出了气动-隐身综合性能的量化评判模型,并对2种无人机和3种巡航导弹的综合性能进行了评价,得到了对工程设计具有参考价值的结论。     

Fast coating analysis and modeling for RCS reduction of aircraft

In order to fast analyze the aircraft Radar Cross Section(RCS) and accurately reduce it with Radar Absorbing Materials(RAM), a comprehensive analysis method based on Higher-Order Method of Moments(HOMOM), termed Locally Coating Method(LCM), is proposed in this paper. There are two steps to fast analyze coatings for RCS reduction in this method: analyze the RCS of various parts before coating the aircraft; model a coating over the aircraft and analyze the wave absorbing effect of it. The aircraft RCS is calculated as a whole but analyzed in various parts by LCM, and thus the RCS contribution of different parts can be compared without disturbing the current continuity. A model expansion algorithm is also presented in LCM to model absorption coatings on specified aircraft parts for later stage RCS calculation of the coated aircraft.     

涂敷目标RCS数值分析与并行计算研究

进行了矩量法在计算涂敷目标雷达散射截面方面的研究.详细推导了将RWG基作为基函数时,任意涂敷目标的电磁流方程表达式.鉴于矩量法计算量过大,耗时太长,使分析与优化遇到实质性的困难,结合RWG基函数特点,在对具体的矩阵方程求解时采用了并行处理.通过计算结果和精确结果对比,证明了此种方法的准确性和有效性,同时并行方法的使用大大降低了计算时间.     

靶机挂载可变 RCS龙勃透镜时的 RCS起伏特性

训练用靶机尺寸远小于实战中的飞机,其 RCS数值大小和起伏特性与飞机存在较大的差别。为了以低廉的价格为部队训练提供高逼真度的模拟靶机,在靶机机头、翼下等位置放置一定样式的可变 RCS龙勃透镜,可以得到类似实战中飞机的 RCS特性。通过控制龙勃透镜的反射面位置可以改变其 RCS数值,实现模拟靶机 RCS的数值变化。采用靶机挂载可变 RCS龙勃透镜对 MQ-1无人机前向 RCS起伏特性进行了模拟,取得了较好的效果,可为采用靶机挂载可变 RCS龙勃透镜模拟作战飞机的全向 RCS特性提供借鉴。     

Influence of stealth aircraft dynamic RCS peak on radar detection probability

For modern stealth aircraft, it is important to analyze the influence of Radar Cross Section (RCS) peak exposure on penetration for guiding stealth design and penetration trajectory planning, which needs to reflect the RCS statistical uncertainty and the RCS difference with the change of incident angle. Based on the RCS characteristics of typical stealth aircraft, this paper established a simplified RCS dynamic fluctuation statistical model with the parameters log mean and log standard deviation. According to the detection probability algorithm in radar signal processing field, this paper built the algorithm of radar detection probability based on the RCS dynamic fluctuation statistical model. The analysis of examples concluded that the key to successful penetration is to shorten the RCS peak exposure time, which can be reduced by decreasing the RCS peak width or increasing velocity. Based on the conclusion, this paper proposed the method of turning maneuvering to reduce RCS peak exposure time dramatically.     

单根任意长度箔条双站散射截面积研究

计算单根任意长度箔条的双站散射截面积对于确定混装箔条弹散射截面积具有重要意义。通过建立单根任意长度箔条的散射模型,得出了表征箔条表面电流分布的积分方程;利用矩量法对方程进行求解,得出表面电流分布的数值解;在此基础上,利用电基本振子辐射场公式得到了单根任意长度箔条远区辐射电场表达式,最后利用散射截面积计算公式给出了单根箔条双站散射截面积的数值计算式,并对单根箔条的单双站散射截面进行了仿真分析。