Professor Tiexiang Li was invited to give a lecture

发布时间: 2023-11-09 21:33:00

Topic： Fast Eigensolverfor 3D Photonic Crystalsin the Oblique Coordinate System

Speaker：Tiexiang Li

Time：2023-11-08 15:00-16:00

Tencent Meeting ID： 656-4902-4546

Introduction：

    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.

Organizer

School of Mathematical Sciences, South China Normal University, Machine Learning and Optimization Computing Laboratory

Co-organizers

Guangdong Young Scientists Association

Guangdong Computational Mathematical Society