基于FDTD算法的周期结构分析
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摘要
周期结构具有特殊的物理性质,日益受到人们的青睐,被广泛应用到科学研究和实际应用中。时域有限差分方法属于一种直接的时域计算方法,具有适用性强、节省存储空间和计算空间、天然的并行特性、程序通用性强等优势,在分析周期结构领域中有着广泛应用。采用FDTD算法结合周期结构的理论,分析了一种基于方形单开口环的频率选择表面模型,尺寸为7 mm×7 mm×0.25 mm,中心频率为11 GHz。用商用软件CST(三维电磁场仿真软件)仿真周期结构的模型,通过两者得到的反射系数结果对比,验证了算法的正确性,为后续利用此算法分析更复杂的结构奠定了基础。
The periodic structure has special physical properties, more and more people are interested in it,and is widely used in scientific research and practical applications. FDTD(Finite-Difference Time-Domain),as a direct time domain calculation method with strong applicability, storage-space and computing space saving, natural parallel characteristics, strong program versatility and other advantages, has a wide range of applications in the field of analytical cycle structures. By using the FDTD algorithm in combination with the theory of periodic structure, a frequency selective surface model based on a square single-opening loop is analyzed, with a size of 7 mm × 7 mm × 0.25 mm and a center frequency of 11 GHz. Commercial software CST(three-dimensional electromagnetic field simulation software) is used to simulate the model of the periodic structure. The correctness of the algorithm is verified by comparing the reflection coefficient results obtained by the two, thus laying a foundation for the subsequent analysis of more complex structures.
The periodic structure has special physical properties, more and more people are interested in it,and is widely used in scientific research and practical applications. FDTD(Finite-Difference Time-Domain),as a direct time domain calculation method with strong applicability, storage-space and computing space saving, natural parallel characteristics, strong program versatility and other advantages, has a wide range of applications in the field of analytical cycle structures. By using the FDTD algorithm in combination with the theory of periodic structure, a frequency selective surface model based on a square single-opening loop is analyzed, with a size of 7 mm × 7 mm × 0.25 mm and a center frequency of 11 GHz. Commercial software CST(three-dimensional electromagnetic field simulation software) is used to simulate the model of the periodic structure. The correctness of the algorithm is verified by comparing the reflection coefficient results obtained by the two, thus laying a foundation for the subsequent analysis of more complex structures.
引文
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[3]陈星光.随机媒质的时域有限差分法电磁特性分析[D].南京:南京理工大学,2017.CHEN Xing-guang.Analysis of Electromagnetic Characteristics of Random Media by Finite-Difference Time-Domain Method[D].Nan Jing:Nanjing University of Technology,2017.
[4]于莉丽.基于FDTD算法的周期结构薄膜太阳能电池吸光效率的研究[D].镇江:江苏大学,2015.YU Li-li.Study on Absorption Efficiency of Periodic Structure Thin Film Solar Cells Based on FDTDAlgorithms[D].Zhenjiang:Jiangsu University,2015.
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[7]邓彪,唐涛,佘影.基于方形单开口环超材料的有源频率选择表面设计[J].成都信息工程大学学报,201833(01):39-43.DENG Biao,TANG Tao,SHE Ying.Active Frequency Selective Surface Design Based on Square Single Opening Ring Metamaterials[J].Journal of Chengdu University of Information Engineering,2018,33(01):39-43.
[8]冯波.时域有限积分技术的周期边界理论及实现[D]南京:东南大学,2015:51-64.FENG Bo.Periodic Boundary Theory and Realization of Finite Integral Time Domain[D].Nan Jing:Southeast University,2015:51-64.
[2]李燕茹.周期结构电磁特性的时域有限差分算法研究[D].南京:南京理工大学,2018.LI Yan-ru.Finite-Difference Time-Domain Algorithm for Electromagnetic Properties of Periodic Structures[D]Nan Jing:Nanjing University of Technology,2018.
[3]陈星光.随机媒质的时域有限差分法电磁特性分析[D].南京:南京理工大学,2017.CHEN Xing-guang.Analysis of Electromagnetic Characteristics of Random Media by Finite-Difference Time-Domain Method[D].Nan Jing:Nanjing University of Technology,2017.
[4]于莉丽.基于FDTD算法的周期结构薄膜太阳能电池吸光效率的研究[D].镇江:江苏大学,2015.YU Li-li.Study on Absorption Efficiency of Periodic Structure Thin Film Solar Cells Based on FDTDAlgorithms[D].Zhenjiang:Jiangsu University,2015.
[5]Berenger J P.Three-dimensional Perfectly Matched Layer for the Absorption of Electromagnetic Waves[J].Journal of Computational Physics,1996,128(02):363-379.
[6]葛德彪,闫玉波.电磁波时域有限差分方法[M].西安西安电子科技大学出版社,2011:1-198.GE De-biao,YAN Yu-bo.Finite-Difference TimeDomain Method for Electromagnetic Waves[M]Xi’an:Xi’an University of Electronic Science and Technology Press,2011:1-198.
[7]邓彪,唐涛,佘影.基于方形单开口环超材料的有源频率选择表面设计[J].成都信息工程大学学报,201833(01):39-43.DENG Biao,TANG Tao,SHE Ying.Active Frequency Selective Surface Design Based on Square Single Opening Ring Metamaterials[J].Journal of Chengdu University of Information Engineering,2018,33(01):39-43.
[8]冯波.时域有限积分技术的周期边界理论及实现[D]南京:东南大学,2015:51-64.FENG Bo.Periodic Boundary Theory and Realization of Finite Integral Time Domain[D].Nan Jing:Southeast University,2015:51-64.