Topic: Fame: A Fast Simulation Algorithm for 3D Photonic Crystals

Time: January 2,14: 50pm-16: 5pm

Venue: Tencent Conference (Conference Number: 544-308-841)

Chaired by: Associate Professor Shao Wenting

About the reporter:

Li Tiexiang, professor and doctoral supervisor of Southeast University, assistant director of the Qiu Chengtong Center of Southeast University, assistant director of the Nanjing Applied Mathematics Center, and leader of the Young and Middle-aged Scholars of the Green Blue Project in Jiangsu Province. Nanjing Center for Applied Mathematics - Executive Director of Joint Laboratory of Medical Imaging, Gulou Hospital. He is mainly engaged in the research of large-scale matrix calculation, electromagnetic calculation, computational geometry and medical image processing, and presided over six national-level projects. He has published more than 60 academic papers in international high-level journals such as SISC, SIMS, SIMAX, ACM TOMS, JCP and Inverse Problems. He won the 2017 and 2019 World Union of Chinese Mathematicians Best Thesis Award - Ruolin Award and the 2020 Jiangsu Institute of Industrial and Applied Mathematics Youth Award.

Introduction to lecture:

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 objective Yee finite difference method is used to dissolve the frequency-domain source-free Maxwell's equations generally with different Bravais lattices.We derive the exact singular value declaration (SVD) of the discrete curl operator by leveraging the SVD of the discrete differential operator in each direction, In which the FFT structure is implemented. numerical experiments are conducted to demonstrate the effectiveness and effectiveness of FAME, and surface state phenomena of 3D photonic crystals with droid supercell structures are realizable.