李铁香教授受邀进行讲座

发布时间: 2023-11-09 21:36:00

题        目：Fast Eigensolverfor 3D Photonic Crystalsin the Oblique Coordinate 

System

报  告  人：李铁香教授

时        间：2023-11-8 15：00-16：00

地        点：腾讯会议：656-4902-4546

报告人简介：

    东南大学教授，博士生导师，南京应用数学中心主任助理，东南大学丘成桐中心主任助理，江苏省数学学会计算数学分会第二届理事会理事，不确定性系统分析与仿真专业委员会委员，江苏省“青蓝工程”中青年学术带头人。主要研究方向为大规模矩阵计算及应用、电磁场高效计算、三维计算几何等，主持多项国家级科研项目，发表五十余篇学术论文，获 2017 年和 2019 年世界华人数学家联盟最佳论文奖一“若琳奖”，2020年第三届江苏省工业与应用数学青年奖。

讲座摘要：

    In this talk, we consider studying the eigen-decomposition and developing the fassolver for 3D Maxwell's equations for photonic crystals. The fast algorithm for Maxwell's equations (FAME) is proposed for band structure calculations of 3D isotopic/anisotropic photonic crystals(PCs), especially with non-orthogonal Bravais lattices. By directly working with the intrinsic coordinate system with Bravais translation lattices/inverseattices as basis/inverse basis and covariant/contravariant formulations, the frequencydomain Maxwell's equations are discretized into a genralized eigenvalue problem (GEP)With an alternative understanding of nullspace-deflation technigues, this GEP is trans.formed into several equivalent nullspace free GEPs (NFGEPs), whose smallest few posi.tive eigenvalues and associated eigenvectors are solved by an iterative eigensolver of thenner-outer type. Comparison with other methods for band structure calculations of 3Danisotropic/isotropic PCs is made to demonstrate the effectiveness and strength of ourpresent approach.

主办单位：华南师范大学数学科学学院，机器学习与最优化计算实验室

协办单位：广东省青年科学家协会，广东省计算数学学会