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

作　　者：高英杰[1,2] 叶全意[3,4] 

机构地区：[1]金陵科技学院电子信息工程学院,南京211169 [2]东南大学信息科学与工程学院,南京210009 [3]金陵科技学院网络与通信工程学院,南京211169 [4]南京邮电大学电子科学与工程学院,南京210023

出　　处：《光子学报》2017年第4期230-236,共7页Acta Photonica Sinica

基　　金：江苏省高校自然科学研究面上项目(No.16KJB510010);金陵科技学院基金项目(Nos.jit-2016-jlxm-22;jit-2016-jlxm-26;jitfhxm-201606);金陵科技学院博士启动项目(Nos.jit-b-201511;jit-b-201408)资助~~

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.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 symplectie 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.

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 

分 类 号：O734[理学—晶体学]