主講人：王漢權(quán) 云南財(cái)經(jīng)大學(xué)教授

時(shí)間：2025年10月18日13：30

地點(diǎn)：徐匯校區(qū)三號(hào)樓332室

舉辦單位：數(shù)理學(xué)院

主講人介紹：王漢權(quán)，云南財(cái)經(jīng)大學(xué)教授，中國(guó)數(shù)學(xué)會(huì)計(jì)算數(shù)學(xué)分會(huì)常務(wù)理事，云南省中青年學(xué)術(shù)帶頭人，云南省數(shù)學(xué)會(huì)常務(wù)理事，云南省工業(yè)與應(yīng)用數(shù)學(xué)會(huì)副理事長(zhǎng)，云南財(cái)經(jīng)大學(xué)統(tǒng)計(jì)與數(shù)學(xué)學(xué)院博士生導(dǎo)師，四川大學(xué)數(shù)學(xué)學(xué)院博士生導(dǎo)師。2014年獲“云南省有突出貢獻(xiàn)優(yōu)秀專(zhuān)業(yè)技術(shù)人才”稱(chēng)號(hào)，2017年獲云南省自然科學(xué)獎(jiǎng)三等獎(jiǎng)。先后主持國(guó)家自然科學(xué)基金重大計(jì)劃培育項(xiàng)目、面上項(xiàng)目、地區(qū)基金項(xiàng)目、青年基金項(xiàng)目、教育部歸國(guó)留學(xué)人員啟動(dòng)基金項(xiàng)目各1項(xiàng)。在國(guó)內(nèi)外學(xué)術(shù)期刊上發(fā)表高水平研究論文和教改論文50余篇，出版專(zhuān)著2部、教材2本。

內(nèi)容介紹：Computation of nonlinear optical waveguide needs to solve a nonlinear eigenvalue problem mathematically. However, usually the refractive index profiles in the nonlinear optical waveguide are discontinuous, which makes solution of nonlinear eigenvalue problem not smooth enough.In this talk, we discuss how to use high-order collocation-based spectral element method to discretize such problem and propose an efficient and iterative algorithm for computing the resulting discretized system.Convergence analysis for the method is provided. The numerical accuracy of the method are tested by several one-dimensional and two-dimensional linear optical waveguide structures. Numerical results for some nonlinear optical waveguide are also presented.