主題：FAME: A Fast Simulation Algorithm for 3D Photonic Crystals

時(shí)間：1月2日 14:50-16:50

地點(diǎn)：騰訊會(huì)議（會(huì)議號(hào)：544-308-841）

主持人：邵文婷副教授

報(bào)告人簡(jiǎn)介：

李鐵香,，東南大學(xué)教授,，博士生導(dǎo)師,，東南大學(xué)丘成桐中心主任助理，南京應(yīng)用數(shù)學(xué)中心主任助理,，江蘇省“青藍(lán)工程”中青年學(xué)術(shù)帶頭人,，南京應(yīng)用數(shù)學(xué)中心—鼓樓醫(yī)院醫(yī)學(xué)影像聯(lián)合實(shí)驗(yàn)室執(zhí)行主任。主要從事大規(guī)模矩陣計(jì)算,、電磁計(jì)算,、計(jì)算幾何及醫(yī)學(xué)影像處理等方向研究，主持國(guó)家級(jí)項(xiàng)目6項(xiàng),，已經(jīng)在 SISC,、SIIMS、SIMAX,、ACM TOMS,、JCP、Inverse Problems 等國(guó)際高水平期刊發(fā)表學(xué)術(shù)論文60余篇,。獲得2017年和2019年世界華人數(shù)學(xué)家聯(lián)盟最佳論文獎(jiǎng)—“若琳獎(jiǎng)”,，2020年江蘇省工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)青年獎(jiǎng)。

講座簡(jiǎn)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.