论文部分内容阅读
对比分析了时域有限差分法(FDTD)和伪谱时域法(PSTD)的特点,并根据液晶盒的薄板结构特征提出了混合PSTD-FDTD的方法来模拟光在液晶中的传播。该方法在具有较小厚度和精细结构的液晶盒厚度方向上采用FDTD方法,而在具有大表面和相对较平滑内部介质的玻璃基板平面方向上采用PSTD方法。充分利用了FDTD方法适合求解具有精细结构的电小问题,而PSTD方法适合求解具有平缓内部介质的电大问题的特点。利用混合PSTD-FDTD和FDTD方法对开态下相同扭曲向列相液晶像素中光传播100 fs的分析结果表明,两种方法获得的透射率最大偏差小于3.3%。PSTD方法的使用减少了FDTD方法对内存的需求和计算时间,同时还保留了FDTD方法的精度。
The characteristics of the finite difference time domain (FDTD) and the pseudospectral time domain (PSTD) are compared and analyzed. Based on the thin-plate structure of the liquid crystal cell, a hybrid PSTD-FDTD method is proposed to simulate the propagation of light in the liquid crystal. The method employs the FDTD method in the thickness direction of the cell having a smaller thickness and a fine structure while the PSTD method is employed in the plane direction of the glass substrate having a large surface and a relatively smoother inner medium. Making full use of the FDTD method is suitable for solving small electrical problems with fine structure, while the PSTD method is suitable for solving the characteristics of large electric issue with a smooth internal medium. The results of analyzing the propagation of 100 fs in the same twisted nematic liquid crystal pixel using the hybrid PSTD-FDTD and FDTD methods show that the maximum deviation of the transmittance obtained by the two methods is less than 3.3%. The use of the PSTD method reduces the memory requirements and computation time of the FDTD method while still preserving the accuracy of the FDTD method.