光子学报, 2017, 46 (4): 0419003, 网络出版: 2017-05-03
辛时域有限差分算法研究等离子体光子晶体透射系数
Research on the Transmission Coefficient of the Plasma Photonic Crystals with the Symplectic Finite-difference Time-domain Method
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 Symplectic finite-difference time-domain method Plasma photonic crystals High-precision Symplectic operator Transmission coefficient
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.
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.
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): 0419003. 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): 0419003.