基于辛时域有限差分方法微带天线的数值分析
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摘要
从麦克斯韦方程出发,研究了在时间和空间上进行高阶差分的辛时域有限差分数值方法(SFDTD),给出其三维差分公式.将吸收边界条件有效地应用于微带天线的计算中,计算了一种微带贴片天线并给出了天线的回波损耗及输入阻抗等.计算结果证明了该方法的精确性和正确性.该方法对于天线优化设计及电磁散射计算具有一定的借鉴作用.
Based on the Maxwell's equations,a high-order symplectic finite difference time domain schemes is constructed for Hamilton system,a formula of iterative algorithm is proposed.The return loss and input impedance of microstrip antenna be calculated using symplectic finite difference time domain method(SFDTD) and absorbing boundary condition.Calculating results have shown that the SFDTD method is accurate and effective.It is useful for small antenna design and electromagnetism calculation.
Based on the Maxwell's equations,a high-order symplectic finite difference time domain schemes is constructed for Hamilton system,a formula of iterative algorithm is proposed.The return loss and input impedance of microstrip antenna be calculated using symplectic finite difference time domain method(SFDTD) and absorbing boundary condition.Calculating results have shown that the SFDTD method is accurate and effective.It is useful for small antenna design and electromagnetism calculation.
引文
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[2]罗明秋,刘洪,李幼铭.地震波传播的哈密顿表述及辛几何算法[J].地球物理学报,2001,44(2):120-128.
[3]Hirono T,Lui W W,Yokoyama K.Time-domain simulation of electromagnetic field using a symplectic integrator[J].IEEE Microwave Guided Wave Lett.,1997,7(9):279-281.
[4]Anderson N,Arthurs A M.Helicity and variational principles for Maxwell's equations[J].Int.Electronics,1983,54(6):861-864.
[5]Hirono T,Wayne Lui,Seki S,Yoshikuni Y.A three-dimensional fourth-order finite-difference time-domainscheme using a symplectic integrator propagator[J].IEEE Transactions on Microwave Theory and Techniques,2001,49(9):1640-1648.
[6]Forest E,Ruth R D.Fourth-order symplectic integration[J].Physica D.,1990,43(1):105-117.
[7]Sheen D M,Ali S M,Abouzahra M D,Kong J A.Application of the three-Dimensional Finite-Difference Time-Domain method to the analysis of planar microstrip circuits[J].IEEE Transcctions on Microwave Theory and Tech-niques,1990,38(7):849-856.
[8]An P Zhao,Juntunen J,Raisanen A V.An efficient FDTD algorithm for the analysis of microstrip patch antennasprinted on a general anisotropic dielectric substrate[J].IEEE Transcctions on Microwave Theory and Techniques,1999,47(7):1142-1146.
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