物理学报Issue(7):070203-1-070203-7,7.DOI:10.7498/aps.63.070203
双色散模型的辛时域有限差分算法
Symplectic FDTD algorithm for the simulations of double disp ersive materials
摘要
Abstract
Combined with the Lossy Drude-Lorentz dispersive model, a symplectic finite-difference time-domain (SFDTD) algorithm is proposed to deal with the double dispersive model. Based on matrix splitting, symplectic integrator prop-agator and the auxiliary differential equation (ADE) technique, with the rigorous and artful formula derivation, the algorithm is constructed, and detailed formulations are provided. Excellent agreement is achieved between the SFDTD-calculated and exact theoretical results when transmittance coefficient in simulation of double dispersive film in one dimension is calculated. As to numerical results for a more realistic structure in three dimensions, the simulation of periodic arrays of silver split-ring resonators using the Drude dispersion model are also included. The transmittance, reflectance, and absorptance of the structure are presented to test the efficiency of the proposed method. Our method can be used as an efficiency simulation tool for checking the experimental data.关键词
有耗Drude-Lorentz色散模型/辛时域有限差分算法/双色散模型/矩阵分裂Key words
Lossy Drude-Lorentz dispersive model/symplectic finite-difference time-domain/double dispersive model/matrix splitting引用本文复制引用
王辉,黄志祥,吴先良,任信钢,吴博..双色散模型的辛时域有限差分算法[J].物理学报,2014,(7):070203-1-070203-7,7.基金项目
国家自然科学基金(批准号:51277001,61101064)、教育部新世纪优秀人才基金(批准号:NCET-12-0596)、教育部博士点基金(批准号:20123401110009)、安徽省杰出青年基金(批准号:1108085J01)和安徽省高校重点项目(批准号:KJ2012A103)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant Nos.51277001,61101064), the NCET (Grant No. NCET-12-0596), the DFMEC (Grant No.20123401110009), the Fund for Distinguished Young Scholars of Anhui Province, China (Grant No.1108085J01), and the Key Program of the Higher Education Institutions of Anhui Province, China (Grant No. KJ2012A103) (批准号:51277001,61101064)