學(xué)術(shù)報(bào)告預(yù)告(主講人:呂俊良,時(shí)間:9月24日)
報(bào)告題目:Uniqueness and numerical method for phaseless inverse diffraction grating problem with known superposition of incident point sources
報(bào)告人:呂俊良教授
報(bào)告邀請(qǐng)人:周艷輝
報(bào)告時(shí)間:2024年9月24日(星期二),19:30-20:30
報(bào)告地點(diǎn):騰訊會(huì)議882 259 412
內(nèi)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.
報(bào)告人簡(jiǎn)介:呂俊良,吉林大學(xué)數(shù)學(xué)學(xué)院,教授,博導(dǎo)。研究興趣包括無(wú)界域散射問(wèn)題的數(shù)值方法,反散射問(wèn)題的數(shù)值算法與理論,偏微分方程有限體積元法等。研究成果發(fā)表在SIAM J. Numer. Anal.,Math. Comput.,Inverse Problems, J.Sci. Comput.以及IMA J. Numer. Anal.等雜志上。承擔(dān)國(guó)家自然科學(xué)基金項(xiàng)目、國(guó)防項(xiàng)目、吉林省自然科學(xué)基金等。現(xiàn)任中國(guó)數(shù)學(xué)會(huì)計(jì)算數(shù)學(xué)分會(huì)理事、中國(guó)仿真學(xué)會(huì)仿真算法專(zhuān)委會(huì)委員、吉林省數(shù)學(xué)會(huì)理事、美國(guó)數(shù)學(xué)會(huì)數(shù)學(xué)評(píng)論員。
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