Study On Parallel GPU-FDTD Algorithm Of Dispersional Photonic Crystal

With the rapid development of computers and calculation methods, almost all of the researches have tended to be quantitative and accurate. Since the finite difference time domain (FDTD) proposed, it has become one of the most simple and efficient methods for solving the Maxwell's equations, and it has been used more and more widely in engineering technology. Spatial and time step parameters must be restricted because of numerical dispersion and stability condition, and this is the reason of computation time increasing. With the development of hardware technology, the graphical processing units(GPU) is far beyond the CPU in floating- point performance. Using graphics processors units to achieve general purpose computation and accelerate numerical calculation has been recently paid more and more attention in high-performance computing and calculated graphics research. It's significant to speed up the numerical calculation using FDTD based on GPU.The compute unified device architecture (CUDA) based on GPU was analyzed in this thesis. The calculation task was divided according to FDTD equations and the CUDA computing model. Transforming the numerical calculation from the CPU to the GPU based on GPU parallel computing character, the calculation of parallel two-dimensional finite difference time domain was accomplished to accelerate. At last a satisfactory acceleration was achieved by optimizing the thread structure and storage structure, and the best results can be accelerated to 14 times.In this dissertation, the FDTD equations for dispersive media were derived, and the properties of photonic crystal containing electromagnetically induced transparency (EIT) medium were studied. One-dimensional photonic crystal and two-dimensional photonic crystal structures were designed, and EIT medium was added into defects of photonic crystal. The influence of material dispersion to the photonic crystal band gap and defect mode was studied by using dispersion GPU-FDTD numerical simulation; Adding the EIT medium, the number of defect mode increased, and the band width of the defect mode became narrower. Through changing the intensity of control light, EIT dispersion feature make a difference, and the frequency of defect mode shifted. One-dimensional photonic crystal switch and two dimensional photonic crystal filter were designed, and the application of photonic crystals with dispersive materials in optical communication was discussed.