Symplectic FDTD algorithm for the simulations of double dispersive materials
- 1. The Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei 230039, China;
- 2. Department of Physics and Engineering, Hefei Normal College, Hefei 230061, China;
- 3. Department of Electrical and Electronic Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, China
- Received Date:
- Accepted Date:
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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).
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 propagator 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.