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辛时域有限差分算法研究等离子体光子晶体透射系数
引用本文:高英杰,叶全意.辛时域有限差分算法研究等离子体光子晶体透射系数[J].光子学报,2017,46(4).
作者姓名:高英杰  叶全意
作者单位:1. 金陵科技学院 电子信息工程学院,南京 211169;东南大学 信息科学与工程学院,南京 210009;2. 金陵科技学院 网络与通信工程学院,南京 211169;南京邮电大学 电子科学与工程学院,南京 210023
基金项目:江苏省高校自然科学研究面上项目,金陵科技学院基金项目,金陵科技学院博士启动项目(Nos.jit-b-201511;jit-b-201408)资助 General Project supported by the Natural Science Foundation of the Jiangsu Higher Education Institutions of China,Fund Project supported by the Jinling Institute of Technology,Ph.D.Project supported by the Jinling Institute of Technology
摘    要:相较于传统的时域有限差分算法,辛时域有限差分算法具有高准确度性和低色散性.传统的时域有限差分算法的计算准确度较低,数值色散误差较大,并且破坏了麦克斯韦方程的辛结构,从而导致其稳定性较差.然而辛时域有限差分算法可以克服这些缺点,从而保证了整个仿真计算的准确性和稳定性.本文基于辛时域有限差分算法,对等离子体光子晶体的带隙特性,透射系数等进行了研究,并与传统的时域有限差分算法进行了对比,验证了辛时域有限差分算法的优势和可行性.

关 键 词:辛时域有限差分算法  等离子体光子晶体  高准确度  辛算子  透射系数

Research on the Transmission Coefficient of the Plasma Photonic Crystals with the Symplectic Finite-difference Time-domain Method
GAO Ying-jie,YE Quan-yi.Research on the Transmission Coefficient of the Plasma Photonic Crystals with the Symplectic Finite-difference Time-domain Method[J].Acta Photonica Sinica,2017,46(4).
Authors:GAO Ying-jie  YE Quan-yi
Abstract:Compared with the traditional finite-difference time-domain method, the symplectic finite-difference time-domain method has high precision and low dispersion.The traditional finite-difference time-domain method arises low accuracy and great dispersion error.Also it has destroyed the symplectic structure of the Maxwell's equations and causes the poor stability.But, the symplectic finite-difference time-domain method can overcome these shortcomings and ensure the accuracy and stability of the whole simulation.So, this paper researches the band-gap characteristics and the transmission coefficient of the plasma photonic crystals with the symplectic finite-difference time-domain method and traditional finite-difference time-domain method.The results have proved the advantages and feasibility of the symplectic finite-difference time-domain method.
Keywords:Symplectic finite-difference time-domain method  Plasma photonic crystals  High-precision  Symplectic operator  Transmission coefficient
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