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A Study on Multivariable Interactions Concerning Radar Cross Section Reduction through Geometric Attributes
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作者 Evan Sharp 《Journal of Applied Mathematics and Physics》 2024年第7期2582-2593,共12页
This resolution 5 (25−1 factorial) study aimed to ascertain an understanding of the interactions between different geometries on the resulting Radar Cross Section (RCS) of a target. The results of the study are in lin... This resolution 5 (25−1 factorial) study aimed to ascertain an understanding of the interactions between different geometries on the resulting Radar Cross Section (RCS) of a target. The results of the study are in line with the general understanding of the impact different geometries have on RCS but show that geometries can also influence the variance of measured RCS, and typical attributes that reduce RCS increase the variance of the measured RCS. Notably, an increased angle between the front face of a plate and the direction of the radar signal decreased RCS but increased the variance of the RCS measured. 展开更多
关键词 radar cross section rcs Geometrical Attributes radar STEALTH
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基于共享孔径技术的低RCS电磁超构表面天线设计
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作者 李桐 杨欢欢 +4 位作者 李奇 廖嘉伟 高坤 季轲峰 曹祥玉 《物理学报》 SCIE EI CAS CSCD 北大核心 2024年第12期159-169,共11页
提出一种基于共享孔径技术设计低雷达散射截面(radar cross section,RCS)电磁超构表面天线的新方法.该方法首先设计具有低RCS性能的超构表面,然后借鉴共享孔径技术思想,将超构表面和传统天线的辐射结构直接共享口径紧密排列,得到新型低... 提出一种基于共享孔径技术设计低雷达散射截面(radar cross section,RCS)电磁超构表面天线的新方法.该方法首先设计具有低RCS性能的超构表面,然后借鉴共享孔径技术思想,将超构表面和传统天线的辐射结构直接共享口径紧密排列,得到新型低RCS天线结构,并结合电流分析和局部结构修正,优化天线的辐射性能,最终同时实现天线的良好辐射和宽带低RCS性能.为了阐明该方法,基于极化旋转机理设计了一款低RCS超构表面,采用共享孔径思想和电流分析,得到了一款宽带低RCS超构表面天线,详细分析了该天线的工作机理与性能.结果表明:设计的天线在保证较好辐射的同时,实现了超宽带RCS减缩,提出的设计方法摒弃了从天线到低RCS天线的传统设计思路,通过逆向思维,将散射的优化问题转化为辐射的优化问题,不仅实现了天线与超构表面的一体化设计,还显著地降低了低RCS天线优化设计的难度,加速了天线优化进程. 展开更多
关键词 电磁超构表面 天线 共享孔径技术 低雷达散射截面
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Solution for polarimetric radar cross section measurement and calibration 被引量:7
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作者 Peikang Huang Chao Ning +2 位作者 Xiaojian Xu Hua Yan Zhaoguo Hou 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2014年第2期211-216,共6页
The exact radar cross-section (RCS) measurement is difficult when the scattering of targets is low. Ful polarimetric cali-bration is one technique that offers the potential for improving the accuracy of RCS measurem... The exact radar cross-section (RCS) measurement is difficult when the scattering of targets is low. Ful polarimetric cali-bration is one technique that offers the potential for improving the accuracy of RCS measurements. There are numerous polarimetric calibration algorithms. Some complex expressions in these algo-rithms cannot be easily used in an engineering practice. A radar polarimetric coefficients matrix (RPCM) with a simpler expression is presented for the monostatic radar polarization scattering matrix (PSM) measurement. Using a rhombic dihedral corner reflector and a metal ic sphere, the RPCM can be obtained by solving a set of equations, which can be used to find the true PSM for any target. An example for the PSM of a metal ic dish shows that the proposed method obviously improves the accuracy of cross-polarized RCS measurements. 展开更多
关键词 radar cross section rcs polarization scattering ma-trix (PSM) polarimetric calibration polarimetry.
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Recognition of the major scattering sources on complex targets based on the high frequency radar cross section integrated calculation technique 被引量:5
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作者 黄敏杰 吕明云 +1 位作者 黄俊 武哲 《Journal of Shanghai University(English Edition)》 CAS 2009年第4期316-321,共6页
Based on the high frequency (HF) integrated radar cross section (RCS) calculation approach, a technique of detecting major scattering source is developed by using an appropriate arithmetic for scattering distribut... Based on the high frequency (HF) integrated radar cross section (RCS) calculation approach, a technique of detecting major scattering source is developed by using an appropriate arithmetic for scattering distribution and scattering source detection. For the perfect adaptability to targets and the HF of the HF integrated RCS calculation platform, this technique is suitable to solve large complex targets and has lower requirement to the target modeling. A comparison with the result of 2-D radar imaging confirms the accuracy and reliability of this technique in recognition of the major scattering source on complex targets. This technique provides the foundation for rapid integrated evaluation of the scattering performance and 3-D scattering model reconstruction of large complex targets. 展开更多
关键词 stealth technique radar cross section rcs scattering center scattering distribution map 2-dimension radar imaging
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吸波材料覆盖直升机强散射源RCS缩减分析
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作者 程健来 孔祥鲲 +1 位作者 费钟阳 招启军 《南京航空航天大学学报》 CAS CSCD 北大核心 2024年第2期217-226,共10页
针对武装直升机的宽带隐身问题,提出利用射线追踪和逆合成孔径雷达(Inverse synthetic aperture radar,ISAR)成像确定直升机强散射源位置的方法,形成电磁超构材料和磁性材料一体化设计直升机部分强散射源的隐身设计构想,并计算分析了两... 针对武装直升机的宽带隐身问题,提出利用射线追踪和逆合成孔径雷达(Inverse synthetic aperture radar,ISAR)成像确定直升机强散射源位置的方法,形成电磁超构材料和磁性材料一体化设计直升机部分强散射源的隐身设计构想,并计算分析了两款隐身材料加载后对整机隐身效果的影响。首先,分析等效媒质理论、射线追踪与ISAR成像原理。然后,通过射线追踪以及ISAR成像的计算,精确且直观地捕获强散射源部位。最后,给出了两款材料的反射系数并分析加载直升机后单站雷达散射截面(Radar cross section,RCS)变化。计算结果表明,两种不同类型隐身材料覆盖直升机强散射源部位后可以达到局部角域范围内RCS缩减的目的,为隐身材料和直升机蒙皮及旋翼的融合设计提供了参考。 展开更多
关键词 直升机 雷达散射截面 射线追踪 逆合成孔径雷达成像 电磁超构材料 磁性材料
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Radar Cross Section Analysis Using Physical Optics and Its Applications to Marine Targets 被引量:6
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作者 Joon-Tae Hwang Suk-Yoon Hong +1 位作者 Jee-Hun Song Hyun-Wung Kwon 《Journal of Applied Mathematics and Physics》 2015年第2期166-171,共6页
Radar Cross Section (RCS) is one of the most considerable parameters for ship stealth design. As modern ships are larger than their predecessors, RCS must be managed at each design stage for its reduction. For predict... Radar Cross Section (RCS) is one of the most considerable parameters for ship stealth design. As modern ships are larger than their predecessors, RCS must be managed at each design stage for its reduction. For predicting RCS of ship, Radar Cross Section Analysis Program (RACSAN) based on Kirchhoff approximation in high frequency range has been developed. This program can present RCS including multi-bounce effect in exterior and interior structure by combination of geometric optics (GO) and physical optics (PO) methods, coating effect by using Fresnel reflection coefficient, and response time pattern for detected target. In this paper, RCS calculations of ship model with above effects are simulated by using this developed program and RCS results are discussed. 展开更多
关键词 radar cross section (rcs) KIRCHHOFF APPROXIMATION Multi-Bounce Effect Response Time Pattern
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Impact of emulsification of crude oil on normalized radar cross section 被引量:3
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作者 GUO Jie ZHANG Tianlong +1 位作者 ZHANG Xi LIU Genwang 《Journal of Oceanology and Limnology》 SCIE CAS CSCD 2020年第1期42-54,共13页
The emulsification of crude oil is caused by the oil flowing into the water,resulting in the increase of oil film tension,viscosity,water content,and volume,which brings great harm to the marine ecological environment... The emulsification of crude oil is caused by the oil flowing into the water,resulting in the increase of oil film tension,viscosity,water content,and volume,which brings great harm to the marine ecological environment and difficulties for the cleanup of marine emergency equipment.The realization observation of emulsification crude oil will increase the response speed of marine emergency response.Therefore,we set up crude oil emulsification samples to study the physical property in laboratory and conducted radar measurements at different incidence angles in outdoor.The radar is C band in resolution of 0.7 m by 0.7 m.A fully polarimetric scatterometer(HH,VV,and VH/HV)is mounted at 1.66 m(minimum altitude)height at an incidence angle between 35°and 60°.An asphalt content of less than 3%crude oil and the filtered seawater were used to the outdoor emulsification scattering experiment.The measurement results are as follows.The water content can be used to describe the process of emulsification and it is easy to measure.Wind speed,asphalt content,seawater temperature,and photo-oxidation affect the emulsifying process of crude oil,and affects the normalized radar cross section(NRCS)of oil film but wind is not the dominant factor.It is the first time to find that the emulsification of crude oil results in an increase of NRCS. 展开更多
关键词 emulsification of crude oil normalized radar cross section(Nrcs) water content wind speed TEMPERATURE
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Radar Cross Section Prediction and Reduction for Naval Ships 被引量:4
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作者 Jawad Khan Wenyang Duan Salma Sherbaz 《Journal of Marine Science and Application》 2012年第2期191-199,共9页
雷达生气的节(RCS ) 是一个目标的反射力量的测量。减少一艘海军的轮船的 RCS 启用它的迟了的察觉,它为利用吃惊和行动的元素是有用的。因此,一艘海军的轮船的 RCS 为完成吃惊,行动,和 survivability 成为了一个很重要的设计因素。... 雷达生气的节(RCS ) 是一个目标的反射力量的测量。减少一艘海军的轮船的 RCS 启用它的迟了的察觉,它为利用吃惊和行动的元素是有用的。因此,一艘海军的轮船的 RCS 为完成吃惊,行动,和 survivability 成为了一个很重要的设计因素。因而,精确 RCS 决心和 RCS 减小具有为一艘海军的轮船的极端重要性。这份报纸的目的是提供理论背景和工程途径的理解为海军的轮船处理 RCS 预言和减小。RCS,雷达基础, RCS 基础, RCS 预言方法,和为海军的轮船的 RCS 减小方法的重要性也被讨论。 展开更多
关键词 雷达散射截面 海军舰艇 预测 rcs减缩 雷达横截面 反射强度 设计因素
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Ultra-wideband low radar cross-section metasurface and its application on waveguide slot antenna array 被引量:2
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作者 丛丽丽 曹祥玉 +1 位作者 宋涛 高军 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第11期466-471,共6页
A novel approach devoted to achieving ultra-wideband radar cross section reduction(RCSR) of a waveguide slot antenna array(WGSAA) while maintaining its radiation performance is proposed. Three kinds of artificial ... A novel approach devoted to achieving ultra-wideband radar cross section reduction(RCSR) of a waveguide slot antenna array(WGSAA) while maintaining its radiation performance is proposed. Three kinds of artificial magnetic conductors(AMCs) tiles consisting of three types of basic units resonant at different frequencies are designed and arranged in a novel quadruple-triangle-type configuration to create a composite planar metasurface. The proposed metasurface is characterized by low radar feature over an ultra-wideband based on the principle of phase cancellation. Both simulated and measured results demonstrate that after the composite metasurface is used to cover part of the antenna array, an ultrawideband RCSR involving in-band and out-of-band is achieved for co-and cross-polarized incident waves based on energy cancellation, while the radiation performance is well retained. The proposed method is simple, low-cost, and easy-tofabricate, providing a new method for ultra-wideband RCSR of an antenna array. Moreover, the method proposed in this paper can easily be applied to other antenna architectures. 展开更多
关键词 metasurface polarization-independent artificial magnetic conductor (PIDAMC) waveguide slot antenna array (WGSAA) radar cross section reduction
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直升机尾桨参数对RCS影响分析
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作者 梁成良 招启军 +1 位作者 费钟阳 曹宸恺 《航空工程进展》 CSCD 2024年第3期143-150,F0002,共9页
在执行战时任务时,对武装直升机的隐身性能提出了较高要求,为降低直升机在执行任务时被发现的概率,基于几何光学法和一致性绕射理论,研究直升机尾桨翼型厚度、弯度、剪刀角角度对RCS的影响。选用两种雷达照射方位,通过对尾桨不同参数和... 在执行战时任务时,对武装直升机的隐身性能提出了较高要求,为降低直升机在执行任务时被发现的概率,基于几何光学法和一致性绕射理论,研究直升机尾桨翼型厚度、弯度、剪刀角角度对RCS的影响。选用两种雷达照射方位,通过对尾桨不同参数和涂敷吸波材料的RCS峰值、均值对比,判断更有利于直升机尾桨隐身的条件。结果表明:雷达从地面照射时,尾桨厚度小、弯度小的RCS会适当减小,剪刀角角度的变化会导致RCS峰值相位变化;雷达平行照射时,厚度小的尾桨RCS小,弯度小的RCS峰值更小;在桨叶前缘与桨尖端面涂敷吸波材料可以有效降低桨叶整体RCS。因此,选择尾桨的厚度越小、弯度越小,有利于降低直升机尾桨的RCS,对桨尖端面和桨叶前缘进行吸波材料涂敷可以有效降低整体RCS。 展开更多
关键词 尾桨 雷达散射截面 高频近似方法 隐身
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Analytical Estimation of Radar Cross Section of Infinitely Long Conducting Cylinder Coated with Metamaterial 被引量:1
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作者 Girish K. Hema Singh 《Computers, Materials & Continua》 SCIE EI 2016年第6期199-215,共17页
Aerospace structures can be approximately modeled as a combination of canonical structures such as cylinder,cone and ellipsoid.Thus the RCS estimation of such canonical structures is of prime interest.Furthermore meta... Aerospace structures can be approximately modeled as a combination of canonical structures such as cylinder,cone and ellipsoid.Thus the RCS estimation of such canonical structures is of prime interest.Furthermore metamaterials possess peculiar electromagnetic properties which can be useful in modifying the RCS of structures.This paper is aimed at calculating the RCS of an infinitely long PEC circular cylinder coated with one or two layers of metamaterial.The incident and scattered fields of coated cylinder are expressed in terms of series summation of Bessel and Hankel functions.The unknown coefficients of summation are obtained by applying appropriate boundary conditions.The computations are carried out for both principal polarizations.The computed results are validated against the numerical-based method of moments.Further,the variation of RCS of the metamaterial coated PEC cylinder with material parameters,frequency,aspect angle and polarization is analyzed. 展开更多
关键词 Coated Cylinder METAMATERIAL perfect electric conductor radar cross section polarization.
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Radar Cross Section Calculation for Wing-Body Blended Targets 被引量:1
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作者 Lu Caicheng & Wang BaofaDept. of Electronic Eng., Beijing University of Aeronautics and Astronautics, Beijing 100083, China 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1991年第2期100-108,共9页
A new method of calculating the radai cross section (RCS) for wing-body blended targets is presented and verified. The method utilizes a computer program for modeling targets' geometry in terms of small pieces. Th... A new method of calculating the radai cross section (RCS) for wing-body blended targets is presented and verified. The method utilizes a computer program for modeling targets' geometry in terms of small pieces. The calculation is based on physical optics approximation. Examples are given to show the validity of the method. 展开更多
关键词 radar cross section Electromagnetic scattering.
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飞机动态RCS计算方法的修正与改进
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作者 徐文丰 李颖晖 +2 位作者 裴彬彬 宋亚南 孙鹏飞 《空军工程大学学报》 CSCD 北大核心 2024年第1期39-46,共8页
飞机动态雷达散射截面(RCS)的分析能够为飞机隐身设计和测试评估提供重要理论支撑。针对现有动态RCS计算方法只能适用于有限角域的不足,对飞机本体系中雷达方位角的定义进行了修正,扩大了现有方法的适用范围。提出了一种新型的动态RCS... 飞机动态雷达散射截面(RCS)的分析能够为飞机隐身设计和测试评估提供重要理论支撑。针对现有动态RCS计算方法只能适用于有限角域的不足,对飞机本体系中雷达方位角的定义进行了修正,扩大了现有方法的适用范围。提出了一种新型的动态RCS计算方法,解决了现有方法中雷达视线角与飞机RCS值无法建立一一映射关系的问题,使用飞机本体坐标系与雷达照射坐标系的欧拉旋转角表征飞机的动态RCS值,相比传统方法具有更高的准确性。最后,仿真验证了当飞机处于机动状态时,新型的动态RCS计算方法得出的结果与现有方法相比有显著差异,其有效提高了动态RCS计算的准确性。 展开更多
关键词 飞机隐身 雷达散射截面 欧拉姿态角 雷达视线角 雷达照射坐标系
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用于量子微波接收机的原子气室探头RCS分析
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作者 林沂 杨凯 +3 位作者 武博 安强 刘燚 付云起 《现代雷达》 CSCD 北大核心 2024年第7期95-99,共5页
基于里德堡原子的量子微波接收机具有超宽带、高灵敏度等显著优点,在雷达探测、信号侦察等电磁对抗领域具有巨大的应用潜力。经典的微波接收机采用金属天线作为传感器探头,而量子微波接收机的传感器探头是一个全介质的原子气室。文中对... 基于里德堡原子的量子微波接收机具有超宽带、高灵敏度等显著优点,在雷达探测、信号侦察等电磁对抗领域具有巨大的应用潜力。经典的微波接收机采用金属天线作为传感器探头,而量子微波接收机的传感器探头是一个全介质的原子气室。文中对原子气室探头的雷达散射截面积(RCS)进行分析,通过将原子气室与经典的微带贴片天线进行仿真对比,展示了原子气室探头在2 GHz~18 GHz的宽频带内具有更低的RCS。此外,还对影响原子气室RCS的主要因素(结构、尺寸、相对介电常数等)进行仿真分析,给出了低RCS原子气室的参数选取基本原则。 展开更多
关键词 里德堡原子 量子微波接收机 雷达散射截面积 原子气室
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Radar cross section of arbitrary polished spheres at terahertz frequencies
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作者 Ruijun Wang Bin Deng +1 位作者 Hongqiang Wang Yuliang Qin 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2017年第6期1072-1077,共6页
We develop an efficient method for polished metallic sphere’s scattering prediction in terahertz band when its frequency dispersion property is considered. By deducing scattering solution of the lossy metallic sphere... We develop an efficient method for polished metallic sphere’s scattering prediction in terahertz band when its frequency dispersion property is considered. By deducing scattering solution of the lossy metallic sphere, the radar cross section(RCS)of different metallic spheres is given at terahertz frequencies. The investigation of the RCS of polished metallic spheres shows the normalized RCS is always same to the metals’ normal incidence reflectivity when the sphere becomes electrically large. The metals which have high reflectivity(such as Al, Cu, Ag and Au) show that the corresponding RCS of the spheres is almost πa2 in terahertz band. The sphere’s RCS of the transition metal such as Fe begins to decrease obviously since the far infrared. 展开更多
关键词 TERAHERTZ radar cross section(rcs) SPHERE Drude model frequency dispersion
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Wideband radar cross section reduction based on absorptive coding metasurface with compound stealth mechanism
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作者 杨歆汨 刘昌荣 +1 位作者 侯波 周小阳 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第10期274-282,共9页
A scheme of combing wave absorption and phase cancellation mechanisms for widening radar cross section(RCS)reduction band is proposed.An absorptive coding metasurface implementing this scheme is derived from tradition... A scheme of combing wave absorption and phase cancellation mechanisms for widening radar cross section(RCS)reduction band is proposed.An absorptive coding metasurface implementing this scheme is derived from traditional circuit analog absorber(CAA)composed of resistive ring elements which characterize dual resonances behavior.It is constructed by replacing some of the CAA elements by another kind of resistive ring elements which is singly resonant in between the original two resonant bands and has reflection phase opposite to that of the original elements at resonance.Hence the developed metasurface achieves an improved low-RCS band over which the lower and higher sub-bands are mainly contributed by wave absorption mainly while the middle sub-band is formed by joint effect of wave absorption and antiphase cancellation mechanisms.The polarization-independent wideband RCS reduction property of the metasurface is validated by full-wave simulation results of a preliminary and an advanced design examples which employ the same element configuration but different element layout schemes as partitioned distribution and random coding.The advanced design also exhibits broadband bistatic low-RCS property and keeps a stable specular RCS reduction performance with regard to incident elevation angle up to 35◦.The advanced design is fabricated and the experimental results of the sample agrees qualitatively well with their simulated counterparts.The measured figure of merit(i.e.,low-RCS bandwidth ratio versus electrical thickness)of the sample is 40.572,which is superior to or comparable with those for most of other existing metasurface with compound RCS reduction mechanism.The proposed compound metasurface technique also features simple structure,light weight,low cost and easy fabrication compared with other techniques.This makes it promising in applications such as radar stealth and electromagnetic compatibility. 展开更多
关键词 radar cross section(rcs)reduction coding metasurface wave absorption anti-phase cancellation
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THz time domain monostatic radar cross section measurement of metallic plates and dihedrons
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作者 HUO Yiwei WU Yajun WANG Xiaobing 《太赫兹科学与电子信息学报》 北大核心 2019年第4期567-571,共5页
THz Radar Cross Section(RCS)measurement setup based on THz Time Domain Spectroscopy(TDS)is built to provide large scaled targets test ability in recent years.As calibrations,the metal plates and dihedrons are used in ... THz Radar Cross Section(RCS)measurement setup based on THz Time Domain Spectroscopy(TDS)is built to provide large scaled targets test ability in recent years.As calibrations,the metal plates and dihedrons are used in our experiments.The measurements are performed in a monostatic terahertz time-domain setup.The author proposed time domain and frequency domain calibration methods for angular RCS of calibrations,comparing the measurements with the theory to verify the ability of the time domain measurement setup. 展开更多
关键词 monostatic radar cross section TERAHERTZ METALLIC PLATES and dihedrons THZ Time Domain Spectroscopy
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The Back-Scattering Cross Section of Radar Wave on Carbon Fiber
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作者 张建 徐鸿飞 《Journal of China Textile University(English Edition)》 EI CAS 2000年第1期77-78,共2页
The radar back-scattering cross section of the carbonfiber is calculated in this paper.The carbon fiber’s crosssection is less than metal fiber’s.The carbon fiber canreduce the scattering of the magnetic wave.
关键词 radar the radar bach-scattering cross section carbon fiber.
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CONTOUR DESIGN AND PRACTICE FOR A LOW RADAR CROSS SECTION VEHICLE
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作者 Zhang Zhongan Wang Lue(Research Institute of Pilotless Aircraft, Nanjing University of Aeronautics and Astronautics, Nanjing, China, 210016) 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 1996年第1期43-47,共5页
On the basis of the canard configuration a contour stealth design including chiefly the wing, the fuselage and their connection type is projected. The prime project of a blended wing body vehicle with canard is provid... On the basis of the canard configuration a contour stealth design including chiefly the wing, the fuselage and their connection type is projected. The prime project of a blended wing body vehicle with canard is provided and through the change of the fuselage head form and the different fin disposals, the radar cross section (RCS) is optimized. The average value of RCS and the value of RCS in the ± 45 ° front sector for different designs are illustrated. The model measurement proves that the project having a sharp head fuselage and 30 ° angle double fin has the minimum value of RCS. The wind tunnel test to the model with RCS optimized proved that the vehicle project has excellent aerodynamic characteristics such as high lift curve slope, up to 26° stalling angle, high lift / drag ratio equal to 8, and also has low RCS value in the front sector and in the lateral sector. 展开更多
关键词 aircraft design electromagnetic scattering wind tunnel tests radar cross section
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Solving multi-object radar cross section based on wide-angle parabolic equation method
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作者 Huang Zhixiang Wu Qiong Wu Xianliang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第4期722-724,共3页
Based on a Pade approximation, a wide-angle parabolic equation method is introduced for computing the multiobject radar cross section (RCS) for the first time. The method is a paraxial version of the scalar wave equ... Based on a Pade approximation, a wide-angle parabolic equation method is introduced for computing the multiobject radar cross section (RCS) for the first time. The method is a paraxial version of the scalar wave equation, which solves the field by marching them along the paraxial direction. Numerical results show that a single wide-angle parabofic equation run can compute multi-object RCS efficiently for angles up to 45 ° . The method provides anew and efficient numerical method for computation electromagnetics. 展开更多
关键词 parabolic equation method Pade approximation radar cross section paraxial direction.
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