时间:1月2日 14:50-16:50 地点:腾讯会议(会议号:544-308-841) 主持人:邵文婷 副教授 报告人简介: 李铁香,东南大学教授,博士生导师,东南大学丘成桐中心主任助理,南京应用数学中心主任助理,江苏省“青蓝工程”中青年学术带头人,南京应用数学中心—鼓楼医院医学影像联合实验室执行主任。主要从事大规模矩阵计算、电磁计算、计算几何及医学影像处理等方向研究,主持国家级项目6项,已经在 SISC、SIIMS、SIMAX、ACM TOMS、JCP、Inverse Problems 等国际高水平期刊发表学术论文60余篇。获得2017年和2019年世界华人数学家联盟最佳论文奖—“若琳奖”,2020年江苏省工业与应用数学学会青年奖。 讲座简介: This work presents a fast algorithm, FAME, to calculate the band structures of 3D photonic crystals with supercell structures and perfect electric conductor and quasi-periodic mixed boundary conditions. The oblique Yee finite difference method is used to discretize the frequency-domain source-free Maxwell's equations uniformly with different Bravais lattices. We derive the explicit singular value decomposition (SVD) of the discrete curl operator by leveraging the SVD of the discrete differential operator in each direction, in which the FFT structure is implied. Numerical experiments are conducted to demonstrate the efficacy and effectiveness of FAME, and surface state phenomena of 3D photonic crystals with gyroid supercell structures are realized.