Scattering characteristics of slit based on carrier cancellation method in small angular domain
-
摘要:
缝隙散射是隐身飞机散射的重要组成部分,已有的缝隙散射研究并未给出小角域(-30°~30°)入射时缝隙散射的结果。基于叠加原理的载体对消方法应用于缝隙散射源的电磁散射计算中,可以更精确地研究缝隙的电磁散射特性。通过单缝隙板的一维成像验证了载体对消方法的有效性和准确性,然后研究了在10 GHz频率下,缝隙散射在小角域内随宽度、长度的变化规律,以及极化特性。不同缝隙宽度的研究结果表明:在小角域内,当缝隙宽度小于1/4波长时,水平极化下缝隙散射比垂直极化下大,而当缝隙宽度大于1/4波长时,水平极化下缝隙散射比垂直极化下小;当缝隙宽度增大时,缝隙在垂直极化下的雷达散射截面(RCS)增长速度更快。不同缝隙长度的研究结果表明:在小角域内,缝隙电磁散射均值随着缝隙长度(200~1 000 mm)的增加而增加,散射均值的大致范围:-22.2~-8.4 dBsm(水平极化),-27.3~-13.3 dBsm(垂直极化);在小角域内,2种极化下,可拟合出RCS均值与缝隙长度的关系,得到某一缝隙长度的RCS,可计算出不同缝隙长度对应的RCS的大致范围。
Abstract:An important part of the scattering of stealth aircraft is slit scattering. Though researches have done on it, none of them has produced results in small angular domain (from -30° to 30°). This paper applied the carrier scattering method based on superposition principle to electromagnetic scattering computation for more accurately studying the electromagnetic scattering characteristics of slit. The effectiveness and accuracy of carrier cancellation method are verified by one-dimensional imaging of a plate with slit. Statistics of polarization characteristics and variation pattern of slit scattering in small angular domain with the width and length were made at 10 GHz frequency. The study results with different slit width show that, in small angular domain, horizontal scattering is larger than vertical polarization scattering when the slit width is less than a quarter of wavelength; otherwise, horizontal scattering is smaller than vertical polarization scattering. It is also found that the radar cross section (RCS) value of the slit increases faster with the growth of slit width under vertical polarization. The results with different slit length demonstrate that, in small angular domain, the mean value of electromagnetic scattering increases with the growth of slit length (200-1 000 mm) and the approximate range of scattering mean ranges from -22.2 dBsm to -8.4 dBsm in horizontal polarization and from -27.3 dBsm to -13.3 dBsm in vertical polarization. The relationship between RCS mean and slit length can be fitted to obtain RCS with a certain length, and thus the approximate range of RCS with different slit length could be calculated.
-
表 1 不同宽度单缝隙RCS均值
Table 1. RCS means of single slit with different width
缝隙宽度/mm RCS均值/dBsm -30°~30°入射(HH极化) -30°~30°入射(VV极化) -15°~15°入射(HH极化) -15°~15°入射(VV极化) 1 -35.324 -52.172 -35.108 -51.829 3 -28.099 -35.902 -27.904 -35.252 5 -22.185 -27.292 -22.042 -26.600 8 -16.632 -18.450 -16.412 -17.666 12 -12.669 -9.787 -12.211 -8.857 16 -10.349 -5.926 -9.524 -4.842 表 2 不同长度单缝隙RCS均值
Table 2. RCS means of single slit with different length
缝隙长度/mm RCS均值/dBsm -30°~30°入射(HH极化) -30°~30°入射(VV极化) -90°~90°入射(HH极化) -90°~90°入射(VV极化) 200 -22.217 -27.297 -21.690 -37.478 300 -19.108 -23.837 -18.464 -34.365 400 -16.321 -21.282 -15.720 -31.694 500 -14.465 -19.365 -13.840 -29.822 600 -13.097 -17.835 -12.358 -28.306 700 -11.522 -16.421 -10.772 -26.810 800 -10.400 -15.282 -9.656 -25.722 900 -9.438 -14.242 -8.687 -24.635 1 000 -8.436 -13.336 -7.560 -23.632 -
[1] 何国瑜, 卢才成, 洪家才, 等.电磁散射的计算和测量[M].北京:北京航空航天大学出版社, 2006:19-20.HE G Y, LU C C, HONG J C, et al.Calculation and measurement of electromagnetic scattering[M].Beijing:Beihang University Press, 2006:19-20(in Chinese). [2] 袁宁, 聂小春, 梁昌洪.有限厚导电平板上任意缝隙的耦合特性分析[J].电波科学学报, 1999, 14(3):261-267. http://www.cqvip.com/QK/96568X/199903/3646349.htmlYUAN N, NIE X C, LIANG C H.Analysis of coupling properties of an arbitrary slit in a thick conducting plate[J].Chinese Journal of Radio Science, 1999, 14(3):261-267(in Chinese). http://www.cqvip.com/QK/96568X/199903/3646349.html [3] 朱劲松, 于洋, 王宝发.飞行器结构缝隙电磁散射问题的研究[J].北京航空航天大学学报, 1999, 25(1):99-102. http://mall.cnki.net/magazine/Article/ZDYK199604003.htmZHU J S, YU Y, WANG B F.Research on electromagnetic scattering for aircraft structural slot[J].Journal of Beijing University of Aeronautics and Astronautics, 1999, 25(1):99-102(in Chinese). http://mall.cnki.net/magazine/Article/ZDYK199604003.htm [4] 柴建忠, 高旭, 刘学强, 等.几种载体表面缝隙对雷达目标特性的影响[J].南京航空航天大学学报, 2014, 46(4):567-572. http://www.oalib.com/paper/5050366CHAI J Z, GAO X, LIU X Q, et al.Effect of gaps in different surfaces on radar target characteristic[J].Journal of Nanjing University of Aeronautics and Astronautics, 2014, 46(4):567-572(in Chinese). http://www.oalib.com/paper/5050366 [5] SENIOR T B A, SARABANDI K, NATZKE J R, et al.Scattering by a narrow gap[J].IEEE Transactions on Antennas & Propagation, 1989, 38(7):1102-1110. https://ieeexplore.ieee.org/document/55624/ [6] SHENG X Q, YUANG K N, CHAN C H, et al.Scattering from a large body with cracks and cavities by the fast and accurate finite-element boundary-integral method[J].IEEE Transactions On Antennas & Propagation, 2000, 48(8):1153-1160. https://ieeexplore.ieee.org/document/884482/ [7] DOMINEK A K, SHAMANSKY H T, WANG N, et al.Scattering from three-dimensional cracks[J].IEEE Transactions on Antennas & Propagation, 1989, 37(5):586-591. https://ieeexplore.ieee.org/document/24186/ [8] PARK T J, KANG S H, EOM H J.TE scattering from a slit in a thick conducting screen:Revisited[J].IEEE Transactions on Microwave Theory & Techniques, 1994, 42(1):895-899. https://ieeexplore.ieee.org/document/272309/ [9] 黄沛霖, 马冬立, 武哲.低RCS齿形挂架参数选择研究[J].北京航空航天大学学报, 2001, 27(3):293-296. http://bhxb.buaa.edu.cn/CN/abstract/abstract11024.shtmlHUANG P L, MA D L, WU Z.Research on parameter selection of low RCS serrated pylon[J].Journal of Beijing University of Aeronautics and Astronautics, 2001, 27(3):293-296(in Chinese). http://bhxb.buaa.edu.cn/CN/abstract/abstract11024.shtml [10] 刘战合, 黄沛霖, 武哲.MLFMA分析表面不连续特征散射特性[J].合肥工业大学学报(自然科学版), 2009, 32(9):1430-1435. https://www.researchgate.net/profile/Zhixiong_Gong/publication/282943868_Study_on_underwater_acoustic_scattering_of_a_Bessel_beam_by_rigid_objects_with_arbitrary_shapes/links/56238d5808aea35f26867cc0.pdf?origin=publication_listLIU Z H, HUANG P L, WU Z.Analysis of scattering characteristics of surface discrete characters with MLFMA[J].Journal of Hefei University of Technology(Natural Science), 2009, 32(9):1430-1435(in Chinese). https://www.researchgate.net/profile/Zhixiong_Gong/publication/282943868_Study_on_underwater_acoustic_scattering_of_a_Bessel_beam_by_rigid_objects_with_arbitrary_shapes/links/56238d5808aea35f26867cc0.pdf?origin=publication_list [11] 黄沛霖, 刘战合.飞行器表面缝隙电磁散射特性研究[J].航空学报, 2008, 29(3):675-680. http://www.cqvip.com/qk/91925X/200803/27282544.htmlHUANG P L, LIU Z H.Research on electromagnetic scattering characteristics of slits on aircraft[J].Acta Aeronautica et Astronautica Sinica, 2008, 29(3):675-680(in Chinese). http://www.cqvip.com/qk/91925X/200803/27282544.html [12] 张振利, 倪维立.缝隙及其与边缘的相互作用对目标散射的影响[J].电波科学学报, 2001, 16(3):301-305. http://www.wanfangdata.com.cn/details/detail.do?_type=degree&id=Y369541ZHANG Z L, NI W L.The scattering by gaps and the multiple scattering between gaps and edges[J].Chinese Journal of Radio Science, 2001, 16(3):301-305(in Chinese). http://www.wanfangdata.com.cn/details/detail.do?_type=degree&id=Y369541 [13] 赵京城. 一种弱散射目标RCS测量方法: 201510760592. 1[P]. 2017-03-01.ZHAO J C. A kind of measurement method with weak scattering target RCS: 201510760592. 1[P]. 2017-03-01(in Chinese). [14] 贾云峰.FEKO在雷达散射截面计算中的应用[J].中国制造业信息化, 2008(2):59-61. http://www.cqvip.com/qk/98238A/200802/26675954.htmlJIA Y F.FEKO application in radar scattering cross section calculation[J].Manufacture Information Engineering of China, 2008(2):59-61(in Chinese). http://www.cqvip.com/qk/98238A/200802/26675954.html [15] 吕杰, 莫锦军, 袁乃昌.基于FEKO的微波成像研究[J].微波学报, 2010(8):598-600. http://cdmd.cnki.com.cn/Article/CDMD-10614-1011192649.htmLV J, MO J J, YUAN N C.Research on microwave imaging based on FEKO[J].Journal of Microwave, 2010(8):598-600(in Chinese). http://cdmd.cnki.com.cn/Article/CDMD-10614-1011192649.htm [16] 刘战合, 黄沛霖, 高旭, 等.MLFMA用于不连续特征多频散射特性研究[J].空军工程大学学报(自然科学版), 2009, 10(2):60-65. http://www.cqvip.com/QK/90962X/200909/31700117.htmlLIU Z H, HUANG P L, GAO X, et al.Multi-waves scattering characteristic of gaps in aircraft surface with MLFMA[J].Journal of Air Force Engineering University(Natural Science Edition), 2009, 10(2):60-65(in Chinese). http://www.cqvip.com/QK/90962X/200909/31700117.html [17] 刘战合, 蒋胜矩, 姬金祖, 等.基于MLFMA的表面台阶多频散射特性[J].探测与控制学报, 2009, 31(z1):20-24. doi: 10.3969/j.issn.1008-1194.2009.z1.007LIU Z H, JIANG S J, JI J Z, et al.Multi-frequencies scattering characteristic of steps in surface based on MLFMA[J].Journal of Detection & Control, 2009, 31(z1):20-24(in Chinese). doi: 10.3969/j.issn.1008-1194.2009.z1.007 [18] 高旭, 刘战合, 武哲.缝隙目标电磁散射特性试验[J].航空学报, 2008, 29(6):1497-1501. https://www.cnki.com.cn/lunwen-2004060050.htmlGAO X, LIU Z H, WU Z.Experiment on scattering characteristics of serrate gap[J].Acta Aeronautica et Astronautica Sinica, 2008, 29(6):1497-1501(in Chinese). https://www.cnki.com.cn/lunwen-2004060050.html [19] 王湃, 董硕, 周永柱, 等.多层快速多级子分析三维复杂目标的谐振区电磁散射特性[J].北京大学学报(自然科学版), 2006, 42(3):395-400. http://www.cqvip.com/qk/94075X/20063/21988041.htmlWANG P, DONG S, ZHOU Y Z, et al.Multilayer fast multilevel analysis of resonance region electromagnetic scattering from three-dimensional complex target[J].Journal of Peking University (Natural Science Edition), 2006, 42(3):395-400(in Chinese). http://www.cqvip.com/qk/94075X/20063/21988041.html [20] 桑建华, 张宗斌, 王烁.低RCS飞行器表面弱散射源研究[J].航空工程进展, 2012, 3(3):257-262. http://www.cqvip.com/QK/89615X/201203/43028912.htmlSANG J H, ZHANG Z B, WANG S.Research on the radar cross section of weak scatters on stealth vehicle[J].Advances in Aeronautical Science and Engineering, 2012, 3(3):257-262(in Chinese). http://www.cqvip.com/QK/89615X/201203/43028912.html [21] 马风国, 高飞, 刘其中, 等.流基混合法分析表面波散射[J].电波科学学报, 1999, 14(2):186-190. https://www.cnki.com.cn/lunwen-2007184404.htmlMA F G, GAO F, LIU Q Z, et al.Analysis of surface-wave scattering by current-based hybrid method[J].Journal of Radio Science, 1994, 14(2):186-190(in Chinese). https://www.cnki.com.cn/lunwen-2007184404.html