基于二维傅里叶变换的潜艇高空磁特征分析
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摘要
航空磁异常探测中存在虚警率高、漏警率高和识别能力不足等问题,需要对铁磁性潜艇进行磁特征研究,以辅助磁探仪检测和识别。通过矢量磁位分布求半空间中拉普拉斯的边值问题,建立潜艇磁场预测模型,得到空间场域中任意点的潜艇磁感应强度分布。基于二维傅里叶变换,将潜艇磁感应空间分布变换为频率分布,在空域、频域中进行特征分析。结果表明,潜艇空间磁特征分布明显,磁场信号强度主要集中在低频部分。
The high false alarm rate and false dismissal rate are serious problem in the aerial magnetic anomaly detection(MAD). To solve the problem and improve the performance of the MAD,research on magnetic signature of the ferromagnetic submarine is necessary. According to the distribution of the vector magnetic potential,the Laplace boundary value problem can be solved in the half-space. The prediction model of the submarine magnetic field is established. Then the magnetic field density can be obtained at each point of the space. Based on the two dimensional Fourier transform,the magnetic signature of the spatial distribution of the submarine magnetic field is analyzed in the spatial domain and the frequency domain. Finally the result shows that the spatial magnetic signature of the submarine has obvious distribution characteristics,and the magnetic field density of the submarine is concentrated on the low frequency part.
The high false alarm rate and false dismissal rate are serious problem in the aerial magnetic anomaly detection(MAD). To solve the problem and improve the performance of the MAD,research on magnetic signature of the ferromagnetic submarine is necessary. According to the distribution of the vector magnetic potential,the Laplace boundary value problem can be solved in the half-space. The prediction model of the submarine magnetic field is established. Then the magnetic field density can be obtained at each point of the space. Based on the two dimensional Fourier transform,the magnetic signature of the spatial distribution of the submarine magnetic field is analyzed in the spatial domain and the frequency domain. Finally the result shows that the spatial magnetic signature of the submarine has obvious distribution characteristics,and the magnetic field density of the submarine is concentrated on the low frequency part.
引文
[1]ALASTAIR D.MCAULAY.Computerized model demonstrating magnetic submarine localization[J].IEEE Transactions on Aerospace and Electronic Systems,1977,13(3):246-254.
[2]JEFFREY M S.Evaluation of geomagnetic activity in the MAD frequency band(0.04 to 0.6 Hz)[D].CA:Naval Postgraduate School,1982.
[3]SHEINKER A,FRUMKIS L,GINZBURG B,et al.Magnetic anomaly detection using a three-axis magnetometer[J].IEEE Transactions on Magnetics,2009,45(1):160-163.
[4]林春生,龚沈光.舰船物理场[M].2版.北京:兵器工业出版社,2007:10-35.
[5]CHIKAZUMI,SOSHIN.Physics of ferromagnetism[M].2nd ed.Oxford:Oxford University Press,2009:3-42.
[6]陈聪,李定国,蒋治国,等.深海中潜艇腐蚀相关磁场全空间分布特征分析[J].哈尔滨工程大学学报,2014,35(6):684-689.
[7]YAAKOBI O,ZILMAN G,MILOH T.Detection of the electromagnetic field induced by the wake of a ship moving in a moderate sea state of finite depth[J].Journal of Engineering Mathematics,2011,70(1):17-27.
[8]KOMINIS I K,KORNACK T W,ALLRED J C,et al.A subfemtotesla multichannel atomic magnetometer[J].NATURE,2003,422(6932):569-599.
[9]CHADEBEC O,COULOMB J L,CAUFFET G,et al.How to well pose a magnetization identification problem[J].IEEE Transactions on Magnetics,2003,39(3):1634-1637.
[10]ROALD K.Electromagnetic fields[M].2nd ed..New York:John Wiley&Sons,1986:250-254.
[11]RAKOTOARISON H L,YONNET J P,DELINCHANT B.Using coulombian approach for modeling scalar potential and magnetic field of a permanent magnet with radial polarization[J].IEEE Transactions on Magnetics,2007,43(4):1261-1264.
[12]闫辉,肖昌汉,周国华.基于曲面积分的磁场矢量延拓方法[J].兵工学报,2008,29(7):839-843.
[13]张朝阳,肖昌汉,衣军.舰船平面磁场的边界矢量积分延拓方法[J].华中科技大学学报,2011,39(9):125-128.
[14]杨明明,刘大明,刘胜道.采用边界积分方程和Tikhonov正则化方法延拓潜艇磁场[J].兵工学报,2010,31(9):1216-1221.
[15]OPPENHEIM A V,WILLSKY A S.Signals and systems[M].2nd ed.Berlin Heidelberg:Springer-Verlag,2004:246-258.
[16]IOANNIDIS G.Identification of a ship or submarine from its magnetic signature[J].IEEE Transactions on Aerospace and Electronic Systems,1977,13(3):327-329.
[17]WALKER C R,STRINGFIELD J Q,WOLBRECHT E T,et al.Measurement of the magnetic signature of a moving surface vessel with multiple magnetometer-equipped AUVs[J].Ocean Engineering,2013,64(2):80-87.
[2]JEFFREY M S.Evaluation of geomagnetic activity in the MAD frequency band(0.04 to 0.6 Hz)[D].CA:Naval Postgraduate School,1982.
[3]SHEINKER A,FRUMKIS L,GINZBURG B,et al.Magnetic anomaly detection using a three-axis magnetometer[J].IEEE Transactions on Magnetics,2009,45(1):160-163.
[4]林春生,龚沈光.舰船物理场[M].2版.北京:兵器工业出版社,2007:10-35.
[5]CHIKAZUMI,SOSHIN.Physics of ferromagnetism[M].2nd ed.Oxford:Oxford University Press,2009:3-42.
[6]陈聪,李定国,蒋治国,等.深海中潜艇腐蚀相关磁场全空间分布特征分析[J].哈尔滨工程大学学报,2014,35(6):684-689.
[7]YAAKOBI O,ZILMAN G,MILOH T.Detection of the electromagnetic field induced by the wake of a ship moving in a moderate sea state of finite depth[J].Journal of Engineering Mathematics,2011,70(1):17-27.
[8]KOMINIS I K,KORNACK T W,ALLRED J C,et al.A subfemtotesla multichannel atomic magnetometer[J].NATURE,2003,422(6932):569-599.
[9]CHADEBEC O,COULOMB J L,CAUFFET G,et al.How to well pose a magnetization identification problem[J].IEEE Transactions on Magnetics,2003,39(3):1634-1637.
[10]ROALD K.Electromagnetic fields[M].2nd ed..New York:John Wiley&Sons,1986:250-254.
[11]RAKOTOARISON H L,YONNET J P,DELINCHANT B.Using coulombian approach for modeling scalar potential and magnetic field of a permanent magnet with radial polarization[J].IEEE Transactions on Magnetics,2007,43(4):1261-1264.
[12]闫辉,肖昌汉,周国华.基于曲面积分的磁场矢量延拓方法[J].兵工学报,2008,29(7):839-843.
[13]张朝阳,肖昌汉,衣军.舰船平面磁场的边界矢量积分延拓方法[J].华中科技大学学报,2011,39(9):125-128.
[14]杨明明,刘大明,刘胜道.采用边界积分方程和Tikhonov正则化方法延拓潜艇磁场[J].兵工学报,2010,31(9):1216-1221.
[15]OPPENHEIM A V,WILLSKY A S.Signals and systems[M].2nd ed.Berlin Heidelberg:Springer-Verlag,2004:246-258.
[16]IOANNIDIS G.Identification of a ship or submarine from its magnetic signature[J].IEEE Transactions on Aerospace and Electronic Systems,1977,13(3):327-329.
[17]WALKER C R,STRINGFIELD J Q,WOLBRECHT E T,et al.Measurement of the magnetic signature of a moving surface vessel with multiple magnetometer-equipped AUVs[J].Ocean Engineering,2013,64(2):80-87.