DISCRETE SINGULAR CONVOLUTION METHOD WITH PERFECTLY MATCHED ABSORBING LAYERS FOR THE WAVE SCATTERING BY PERIODIC STRUCTURES
DISCRETE SINGULAR CONVOLUTION METHOD WITH PERFECTLY MATCHED ABSORBING LAYERS FOR THE WAVE SCATTERING BY PERIODIC STRUCTURES
摘要
A new computational algorithm is introduced for solving scattering problem in periodic structure. The PML technique is used to deal with the difficulty on truncating the unbounded domain while the DSC algorithm is utilized for the spatial discretization. The present study reveals that the method is efficient for solving the problem.
A new computational algorithm is introduced for solving scattering problem in periodic structure. The PML technique is used to deal with the difficulty on truncating the unbounded domain while the DSC algorithm is utilized for the spatial discretization. The present study reveals that the method is efficient for solving the problem.
基金
Supported by the NNSF of China(10626017)
the Science Foundation of the Education Committee of Heilongjiang Province(11511276)
the Foundation of Heilongjiang Province(LBH-Q05114).
参考文献12
-
1Babuska I,Aziz A.Survey lectures on mathematical foundations of the finite element method; in the mathematical foundations of the finite element method with application to partial differential equations,New York:Academic Press,1973,5-359.
-
2Bao G,Dobson D,Cox J A.Mathematical studies in rigorous grating theory,J Opt Soc Amer A,1995,12:1029-1042
-
3Bao G,Cowsar L,Masters W.Mathematical modeling in optical science,Philadelphia:SIAM,2001.
-
4Berenger J.A perfectly matched layer for the FDTD solution of wave-structure interaction problems,IEEE Trans Antennas,1996,44:110-117.
-
5Chen Z M,Wu H J.An adaptive finite element method with perfectly matched absorbing layers for the wave scattering by periodic structuers,SIAM J Numer Anal,1995,5:399-401.
-
6Dobson D.A variational method for electromagnetic diffraction in biperiodic structures,Math Model Numer Anal,1994,28:419-439.
-
7DobsonD,Friedman A.The time-harmonic Maxwell's equations in a doubly periodic structure,J Math Anal Appl,1992,166:507-528.
-
8Fanf G.Whittaker-Kotelnikov-Shhannon sampling theorem and aliasing error,J Approx Theory,1996,85:115-131.
-
9Lai C H,Wei G W.Fourier-Bessel analysis of patterns in a circular domain,Phys D,2001,151:83-98.
-
10Petit R,ed,Electromagnetic Theory of Gratings,Topics in Current Physics,Vol.22,Heidelberg:Springer Verlag,1980.
-
1王均宏.有耗媒质的PML技术及其在目标探测中的应用[J].电子学报,1999,27(9):5-8. 被引量:6
-
2Oleksandr Bediukh Maksim Drobkov.Comparison the Theoretical and Experimental Results of Radio Absorbing Properties of Au Thin Films in 8-11.6 GHz Band[J].Journal of Electrical Engineering,2015,3(1):21-23.
-
3刘波,高本庆,金林.一种适用于ADI-FDTD法的非分裂式完全匹配层[J].微波学报,2005,21(3):1-4. 被引量:1
-
4韩增富,王均宏.并联介质加载偶极天线脉冲辐射特性的研究[J].物理学报,2005,54(2):642-647. 被引量:7
-
5Guo Ziqin Lin Deyun(Dept. of Electronic Engineering, Tsinghua University, Beijing 100084).APPLICATION OF THE PML ABSORBING BOUNDARY CONDITION TO FD-TD SIMULATION[J].Journal of Electronics(China),1998,15(2):168-173.
-
6鱼自发,薛具奎.Tunneling Dynamics of Dipolar Bosonic System with Periodically Modulated s-wave Scattering[J].Communications in Theoretical Physics,2014,61(5):565-570.
-
7复旦大学波散射和遥感信息教育部重点实验室简介[J].复旦学报(自然科学版),2010,49(2):272-272.
-
8林炽森,戴赫尔.多层有耗介质覆盖导电表面的TE波散射[J].上海科技大学学报,1992,15(3):6-15.
-
9贾云峰.通信信号的电磁兼容和电磁危害仿真研究[J].安全与电磁兼容,2006(5):94-96. 被引量:2
-
10马凤国,高飞,刘其中,龚书喜.流基混合法分析表面波散射[J].电波科学学报,1999,14(2):186-190. 被引量:1