2.5D-FDTD数值算法的建立和模拟
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摘要
本文提出并建立了2.5D-FDTD数值分析方法;通过与解析解及常规FDTD算法的比较,验证了该算法的正确性,显示了该算法的优越性;通过加入三维矩形口径面超宽带天线,实现了对地下埋藏目标体的识别,进一步说明了该方法的可行性和实用性.
This paper proposes and establishes the 2.5 dimension finite difference time domain(2.5D-FDTD)numerical analysis method.The comparision with analytical solution and conventional FDTD algorithm,confirms the correctness of the 2.5D-FDTD algorithm and shows the superiority.Simulation which applies the three-dimensional rectangular aperture Ultra wideband(UWB) transmitting antenna,realizes the identification of the buried object,and further proves the feasibility and usability of the 2.5D-FDTD algorithm.
This paper proposes and establishes the 2.5 dimension finite difference time domain(2.5D-FDTD)numerical analysis method.The comparision with analytical solution and conventional FDTD algorithm,confirms the correctness of the 2.5D-FDTD algorithm and shows the superiority.Simulation which applies the three-dimensional rectangular aperture Ultra wideband(UWB) transmitting antenna,realizes the identification of the buried object,and further proves the feasibility and usability of the 2.5D-FDTD algorithm.
引文
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[4]Zhao G,Liu Q H.“The 2.5-D multidomain pseudospectraltime-domain algorithm,”IEEE Trans[J].Antennas Propa-gat.,2003,51(3):619~627.
[5]Liu Q H.“The PSTD algorithm:A time-domain method re-quiring only two cells per wavelength”[J].Microwave OptTechnol Lett,1997,15(18):158~165.
[6]Zhao G,Liu Q H.The 2.5-D multidomain pseudospectraltime-domain algorithm,Antennas and Propagation[J].IEEETransactions on,2003,51(3):619~627.
[7]Tang Z B,Liu Q H.The 2.5D pseudospectral time-domain(PSTD)algorithm with PMLabsorbing boundary condition,Antennas and Propagation Society International Symposium[J].IEEE,1998,3(1):1496~1499.
[8]葛德彪,闫玉波.电磁波时域有限差分方法(第二版)[M].西安:西安电子科技大学出版社,2005.
[9]罗延钟,张桂青.电子计算机在电发勘探中的应用[M].武汉:武汉地质学院出版社,1987.
[10]罗延钟,孟永良.关于用有限单元法对二维构造作电阻率法模拟的几个问题[J].地球物理学报,1986,29:613~621.
[11]熊彬.关于瞬变电磁法2.5维正演中的几个问题[J].物探化探计算技术,2005,28(2):124~128.
[12]底青云,Martyn Unsworth,等.有限元法2.5维CSAMT数值模拟[J].地球物理学进展,2004,19(2):317~324.
[13]周熙襄,钟本善,严忠琼,江玉乐.点源二维有元技术应用的若干问题[J].物探化探计算技术,1985,7(3):226~233.
[14]吕玉增,阮百尧.复杂地形条件下四面体剖分电阻率三维有限元数值模拟[J].地球物理学进展,2006,21(4):1302~1308.
[15]冯德山,戴前伟,何继善,何刚.探地雷达GPR正演模拟的时域有限差分实现(英文)[J].地球物理学进展,2006,21(3):630~636.
[16]刘地渊,徐凯军,赵广茂,李桐林.任意形状线电流源三维地电场研究[J].地球物理学进展,2006,21(2):395~399.
[17]陈颙,张尉,陈汉林,齐诚,陈棋福.地震雷达[J].地球物理学进展,2006,21(1):1~5.
[2]Unsworth MJ,Traves B J,Chave A D.Electromagnetic in-duction by a finite electric dipole source over a 2-D earth[J].Geophysics,1993,58:198~214.
[3]Everett M E,Edwards R N.Transient marine electromag-netics:the 2.5-D forward problem[J].Geophys.J.Int.,1993,113:545~561.
[4]Zhao G,Liu Q H.“The 2.5-D multidomain pseudospectraltime-domain algorithm,”IEEE Trans[J].Antennas Propa-gat.,2003,51(3):619~627.
[5]Liu Q H.“The PSTD algorithm:A time-domain method re-quiring only two cells per wavelength”[J].Microwave OptTechnol Lett,1997,15(18):158~165.
[6]Zhao G,Liu Q H.The 2.5-D multidomain pseudospectraltime-domain algorithm,Antennas and Propagation[J].IEEETransactions on,2003,51(3):619~627.
[7]Tang Z B,Liu Q H.The 2.5D pseudospectral time-domain(PSTD)algorithm with PMLabsorbing boundary condition,Antennas and Propagation Society International Symposium[J].IEEE,1998,3(1):1496~1499.
[8]葛德彪,闫玉波.电磁波时域有限差分方法(第二版)[M].西安:西安电子科技大学出版社,2005.
[9]罗延钟,张桂青.电子计算机在电发勘探中的应用[M].武汉:武汉地质学院出版社,1987.
[10]罗延钟,孟永良.关于用有限单元法对二维构造作电阻率法模拟的几个问题[J].地球物理学报,1986,29:613~621.
[11]熊彬.关于瞬变电磁法2.5维正演中的几个问题[J].物探化探计算技术,2005,28(2):124~128.
[12]底青云,Martyn Unsworth,等.有限元法2.5维CSAMT数值模拟[J].地球物理学进展,2004,19(2):317~324.
[13]周熙襄,钟本善,严忠琼,江玉乐.点源二维有元技术应用的若干问题[J].物探化探计算技术,1985,7(3):226~233.
[14]吕玉增,阮百尧.复杂地形条件下四面体剖分电阻率三维有限元数值模拟[J].地球物理学进展,2006,21(4):1302~1308.
[15]冯德山,戴前伟,何继善,何刚.探地雷达GPR正演模拟的时域有限差分实现(英文)[J].地球物理学进展,2006,21(3):630~636.
[16]刘地渊,徐凯军,赵广茂,李桐林.任意形状线电流源三维地电场研究[J].地球物理学进展,2006,21(2):395~399.
[17]陈颙,张尉,陈汉林,齐诚,陈棋福.地震雷达[J].地球物理学进展,2006,21(1):1~5.
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