学术报告预告(主讲人:吕俊良,时间:9月24日)
报告题目:Uniqueness and numerical method for phaseless inverse diffraction grating problem with known superposition of incident point sources
报告人:吕俊良教授
报告邀请人:周艳辉
报告时间:2024年9月24日(星期二),19:30-20:30
报告地点:腾讯会议882 259 412
内容摘要:In this talk, I will introduce some results on uniqueness and numerical methods of identifying a smooth grating profile with a mixed or transmission boundary condition from phaseless data. The existing uniqueness result requires the measured data to be in a bounded domain. To break this restriction, we design an incident system consisting of the superposition of point sources to reduce the measurement data from a bounded domain to a line above the grating profile. An iterative algorithm is proposed to recover the Fourier modes of grating profiles at a fixed wavenumber.
报告人简介:吕俊良,吉林大学数学学院,教授,博导。研究兴趣包括无界域散射问题的数值方法,反散射问题的数值算法与理论,偏微分方程有限体积元法等。研究成果发表在SIAM J. Numer. Anal.,Math. Comput.,Inverse Problems, J.Sci. Comput.以及IMA J. Numer. Anal.等杂志上。承担国家自然科学基金项目、国防项目、吉林省自然科学基金等。现任中国数学会计算数学分会理事、中国仿真学会仿真算法专委会委员、吉林省数学会理事、美国数学会数学评论员。
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数学与系统科学学院