Wingtip generated wake vortices as radar target

Previous radar wake vortex detection experiments have resulted in measured beam averaged values of radar reflectivity from wake vortices in clear air. We have employed average wind and thermodynamic variable output from a two dimensional wake vortex model in clear air and fog to predict radar reflectivity in a wake vortex on a one meter grid. The results agree well, compared to data in the literature. In the clear air case, scales of turbulence were analyzed at each grid point to determine the appropriate maximum radar frequency for detection, initial wake structure, transport, and vortex persistence are related to atmospheric winds, atmospheric stability, and generating aircraft characteristics     

再入飞行器尾迹流场及其雷达散射效应研究

对再入飞行器等离子体尾迹及其雷达散射特性进行了分析、研究和大量的计算。讨论了物形、流场各因素对尾迹雷达散射截面的影响。流场计算使用准一维粘性尾迹方程，以修正基尔方法（多值法）求解，用一阶Ｂｏｒｎ近似完成亚密雷达散射截面（ＲＣＳ）计算。计算中使用８组元混合空气、１４个非平衡化学反应模型，考虑５种不同尺度的小钝头锥形物体，沿再入轨道取６５至３４公里，共１３个高程的飞行条件。通过计算得到了再入体尾迹各流场参数、电子密度分布及湍流亚密尾迹的ＲＣＳ。结果说明再入钝锥细长体粘性尾迹的转捩特性对于等离子体的散射性质具有决定性的作用；再入弹头尾迹等离子体对地面单站雷达发射波的回波主要来源于尾迹湍流亚密的非相干散射；对确定的波长，当环境雷诺数达到临界值之后，可能出现ＲＣＳ的突增现象；不同物形及来流条件造成尾迹转捩位置的改变，从而影响ＲＣＳ的数值及其沿轨道的分布；改变尾迹颈部初值会引起ＲＣＳ值的明显变化。     

等离子体涡电磁散射特性及隐身性能

 针对非均匀等离子体在飞行器隐身中的应用,采用分段线性电流密度递归卷积时域有限差分（PLJERC-FDTD）方法计算等离子体涡及涡串电磁散射特性,分析等离子体涡对飞行器隐身性能影响。计算表明,等离子体涡在很大频率区间对电磁波吸收效果显著,RCS降低很大,具有明显的隐身效果。等离子体涡表现出一定规律性的极化特性,对L,S和C波段电磁波具有不同的吸收、反射特性。     

再入弹头非平衡尾迹的回波特性分析

本文利用文[1]方法计算了纯空气非平衡再入弹头尾迹流场,分析了尾迹等离子体场对雷达波的频响效应,并进一步估算了几种高程条件下的雷达散射截面,说明影响截面大小和分布的几个重要因素。分析和计算表明,以物体底部直径和环境参数表征的雷诺数达到转捩值以后,在完全湍流尾迹中可能出现散射截面的突增现象。     

空中交通中尾流间隔的研究

分析了雷达尾流间隔标准的分类，通过尾流的形成机理和对后机影响的分析，建立了后机的危险遭遇模型和前机的尾流消散模型，给出了在确定的时间间隔下确定尾流危险遭遇概率的方法。     

An MTI Technique for Processing Radar Measurements of a Waking Reentry Body

A processing technique based on pulse-cancellation techniques familiar in moving target indicator (MTI) radar is proposed for separating (in Doppler) echoes of a reentry body traveling at hypersonic velocities from those of its lower velocity turbulent wake appearing in the same range cell. The cancellation technique is implemented by forming the sum of the products of binomial weighting coefficients of alternating sign with the complex echoes of a small number of closely spaced transmitted coherent pulses; thereby, in effect, synthesizing a digital canceler. The ability of the two-and three-pulse canceler to estimate body RCS in the presence of attached wake is demonstrated by employing coherent burst data collected by the AMRAD radar for a mission flown at the White Sands Missile Range. Estimates of body RCS obtained from the two-and three-pulse canceler compare favorably to the corresponding estimates obtained from a 30-pulse Doppler periodogram for this mission. Expressions for both the achievable wake rejection ratio and the mean and standard deviation of the body power estimate of the N-pulse canceler are derived as a function of the wake parameters, assuming Gaussian wake statistics.     

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.     

有限姿控能力的低RCS微小卫星姿态实时规划

 为提高在轨微小卫星使用效能及生存能力,提出一种受姿控能源消耗及驱动能力约束的低雷达散射截面（RCS）微小卫星姿态实时规划算法。算法应用曲面像素法、时域有限差分法及假设检验,在三维空间内对微小卫星的RCS及雷达探测水平进行建模,并结合雷达分布模型构建了相应的威胁评估函数及规划代价评估函数。同时,为提高算法的实时性能,采用了粒子群优化(PSO)算法以降低计算复杂度。仿真结果表明,在有限计算量的基础上,算法能够以较小规划代价有效降低卫星威胁方向的RCS及雷达探测概率,满足对微小卫星飞行姿态实时规划的需要。     

GLRT Detectors for Aircraft Wake Vortices in Clear Air

 In this article, radar echoes of aircraft wake vortices are modeled as weighted sums of the frequency components of the echoes with a special covariance matrix for the weighted coefficients. With a proposed detection scheme, two generalized likelihood ratio test (GLRT) detectors are derived respectively for aircraft wake vortices with time-varying and time-invariant Doppler spectra. Then the analytical expressions for detection and false alarm probabilities of the detectors are derived and three factors are investigated which mainly influence the detection performance, i.e., the Doppler extension and uncertainty of the aircraft wake vortex, and the number of the detection cells. The results indicate that, the signal-to-noise ratio (SNR) loss induced by Doppler extension is generally several decibels. The SNR loss due to Doppler uncertainty is approximately proportional to the logarithm of the number of spectrum lines in the uncertain Doppler spectrum intervals. For a large number of detection cells, the SNR gain is approximately proportional to the square root of the number of the detection cells.     

基于计算电磁学方法的旋翼雷达散射截面特性

以Maxwell方程组为主控方程,时间离散采用4步Runge-Kutta法,空间离散使用MUSCL(monotonic upstream-centered scheme for conversation laws)格式与Steger-Warming通量分裂结合的方法,建立了一套基于时域有限体积法的旋翼RCS(雷达散射截面)特性数值计算方法.采用代数方法生成围绕旋翼的O型贴体、正交网格.在验证方法有效性基础上,着重分析了旋翼平面和翼型RCS极化、入射角、电尺寸等影响特性,并给出了翼型几何特点对RCS的影响规律;然后运用线性加权和法进行了旋翼翼型隐身性能的综合筛选.研究表明:旋翼RCS动态包络线是一个强散射水平的连续振荡区域;选取3片桨叶旋翼的最大雷达探测距离为2片桨叶的82.2%,且有利于控制旋翼的散射最大峰值.同时,HH02旋翼翼型在4个重要的散射角域,最大探测距离分别为NACA0012翼型的105.1%,99.4%,86.6%和83.5%,表明综合雷达隐身性能最好.     

航迹规划中雷达探测空间的生成

从飞机突防习行任务规划出发，综合考虑地球曲率、陆地（或海洋）的反射和杂波干扰、大气折射和吸收损耗等因素的影响，采用临界散射截面法生成了对空警戒雷达在不同地貌、发现概率下，对不同雷达散射截面的目标的探测空间。计算并分析了飞行高度、目标雷达散射截面、发现概率和地貌等因素对雷达探测空间的影响，以便选择低探测概率的飞行走廓，这对制定和实施安全突防飞行策略有实际意义。     

Probability of Detecting Aircraft Targets

The statistics of aircraft radar cross section (RCS) are estimated by fitting members of the chi-square family of distributions to empirical distributions obtained from blocks of RCS data, each block of data corresponding to a particular aircraft azimuth aspect. The parameters of the fitted distributions vary with azimuth aspect angle, type of aircraft, and radar frequency. Detection probabilities based on the estimated statistics are calculated and compared with detection probabilities based on Rayleigh statistics. This comparison indicates that the average value of radar cross section has much more effect on probability of detection than the normalized variance of RCS, and in the usual situation tends to mask the effect of the normalized variance on probability of detection.     

飞行器雷达隐身性能评估研究

考虑飞行器与雷达的对抗环境和相对位置关系,通过建立雷达的探测模型以及飞行器的雷达散射特性模型,初步构建了飞行器雷达隐身性能评估系统。该系统可以有效地计算RCS的不同而引起的发现概率及暴露距离的变化,从而可以定量地比较隐身性能的变化;还可以根据暴露距离或预警时间的要求,制定出满足该要求的RCS指标的取值,从而指导隐身飞机RCS指标的确定。对算例的计算分析表明,该系统的计算结果可信,具有一定的实用价值。     

针对雷达LPI波形验证的目标RCS估算

根据某型雷达低截获概率波形设计的需要,分析了雷达探测目标的高频散射机理,并运用物理光学法、等效电磁流法计算了约定目标在不同姿态下和不同电磁波频率照射下的RCS值,从而为验证雷达波形在能探测到目标情况下的LPI性能提供了支撑。实验结果表明,基于电磁场理论的目标RCS估算方法是研究雷达LPI波形的一种有效工具,方法也适合于其他领域RCS估算的需要。     

关于低RCS目标外形优化中目标函数的确定

在分析了低RCS目标外形优化中现有的两种目标函数的局限性的基础上,根据雷达检测概率与目标RCS分布之间的关系,提出了一种新的目标函数,即目标在威胁区域内其RCS大于规定的临界RCS的概率。算例表明本文所提出的目标函数比现有的目标函数更为有效,适用范围更广。为低RCS目标外形优化设计以及气动与隐身一体化设计提供了一个合理而有效的目标函数。     

基于动态RCS的隐身飞机探测概率研究

动态RCS是影响战斗机突防概率的重要因素。围绕动态RCS这一关键要素,建立了空空动态RCS求解模型,得到了典型机动下战斗机的动态RCS变化规律,并分析了基于动态RCS的典型机动下的雷达探测概率。基于仿真的静态RCS数据库,耦合飞机抖动模型,研究了拉升机动、空间机动以及空空对抗下某型隐身飞机的动态RCS。通过仿真发现:战斗机的机腹、垂尾及尾喷管部位RCS较大,从而导致了较高的探测概率;对于拉升机动,保持较大的航路捷径更有利于隐蔽突防。     

二维机翼雷达散射截面特性分析

以时域有限差分法（FDTD）计算了不同后掠角的后掠翼和三角翼的雷达散射截面（RCS）,并对其分布情况进行了分析;计算了不同后掠角的后掠翼和三角翼在多个频段的RCS,并按照不同的威胁判断求出平均值,得出RCS随频率的变化情况。通过分析RCS随方位和频率的变化情况,研究了外形隐身技术运用的一般原则,并探讨了吸波材料所需的最佳吸收频率和涂覆位置。通过对简化情况的分析,对雷达隐身技术运用的一般原则进行了讨论,对于实际的复杂工程实践有重要的参考价值。     

非合作目标动态RCS仿真方法

针对非合作目标难以开展动态测量的问题,根据空气动力学原理提出了一种非合作目标动态雷达散射截面（RCS）仿真方法。该方法首先建立测量背景下典型飞行航路模型,然后计算雷达视线在机体坐标系上的时变姿态角。根据姿态角开展电磁计算,获得F-117A隐身攻击机在侧站平飞、背站拉起、对站俯冲、侧站盘旋4种航路下的动态RCS数据。着重分析了动、静态RCS特性在起伏目标检测性能评估上的差异。结果表明：静态RCS特性难以反映目标运动时真实的雷达特性,利用静态数据描述目标特性可能导致错误结论,而文中方法获取的动态RCS数据可以提高结论的完整性和可信度。     

从探测概率的角度评价飞机的隐身性能

采用雷达散射截面(RCS)均值来衡量飞机的隐身性能并不能给出足够充分的信息,从信号检测概率的角度来衡量飞机的可探测性可以提供更完整的信息。本文从探测概率的角度详细分析了4种典型隐身飞机RCS起伏数据与虚警概率、探测概率、探测距离、信噪比(SNR)等参数间的关系,并给出了完整的推导过程,采用此方法可以对任意飞机目标在给定雷达参数下的可探测性进行准确计算。一般在雷达性能评估中需要用到RCS起伏模型,本文对飞机目标回波信号进行检测分析时采用数值计算方法,信号的概率密度函数(PDF)直接来源于原始回波起伏信号,避免了模型拟合带来的回波特性失真,且不会产生大的计算误差。通过对比分析计算结果发现:单脉冲检测下回波信号均值中值比越大,回波取值范围越小,则信号的检测概率越小,其中均值中值比一般相差3倍以上时可以得到明显不同的检测概率;在快起伏假设下,非相参积累检测的积累脉冲数Nin即便较小,也能得到较大的信噪比增益,此增益可能大于Nin。     

Wake vortex characteristics of transport aircraft

The flow and flight physics of wake vortex systems has been intensively investigated concentrating on a large variety of aspects. This paper gives a brief overview on past and present wake vortex research activities such as early studies, integrated programs, model and flight tests, numerical investigations, fundamental physical aspects and alleviation strategies. Then, detailed results of the properties of the wake near field and extended near field are presented addressing typical length and time scales and especially turbulence quantities. Progressing from the near field to the far field wake instability mechanisms are explained along with their relevance for wake vortex decay. Characteristic quantities are given for the short and long wave instabilities associated with vortex merging and wakes consisting of two and four trailing vortices. A non-dimensional frequency parameter is introduced to classify the main instability types. Means for wake vortex alleviation are described aimed at influencing the wake vortex turbulence field or triggering and amplifying the inherent instabilities. The methods discussed include passive means such as the effects of spoilers, differential flap setting and four-vortex systems and active means using oscillating flaps or auxiliary devices.