Mathematical study on metamaterial and its applications

Time:Wed. & Fri., 13:30-15:05, Nov. 1, 2023-Jan. 19, 2024

Venue: Classroom B627, Tsinghua University Shuangqing Complex Building A(清华大学双清综合楼A座B627教室)

Speaker:Hongjie LI 李宏杰


This course presents a comprehensive exploration of mathematical theories on metamaterials within wave systems including acoustics, electromagnetics, and elasticity. The analytical methodologies encompass both the potential theory and the variational approach. Subsequently, the course delves into the practical applications including cloaking invisibility and imaging. Regarding invisibility, we mainly focus on the exceptional phenomenon known as cloaking due to anomalous localized resonance. At last, the mathematical theory on the fabrication of the metamaterial shall be introduced.


partial differential equation, potential theory, Sobolev space


Dr. Hongjie Li holds the position of Assistant Professor at the Yau Mathematical Sciences Center. He obtained his Ph.D. in Applied Mathematics from the Hong Kong Baptist University in 2019. Dr. Li's research encompasses a range of areas including inverse problems, partial differential equations, mathematical materials science, asymptotic and spectral analysis, finite element methods, numerical analysis and scientific computing. He has published several papers in esteemed Applied Mathematics journals, such as the Journal de Mathématiques Pures et Appliquées, SIAM Journal on Mathematical Analysis, SIAM Journal on Applied Mathematics and ESAIM: Mathematical Modelling and Numerical Analysis. During his doctoral studies, Dr. Li was granted the prestigious Hong Kong Ph.D. Fellowships for three years by the Research Grants Council of the Hong Kong Government, along with the Yakun Scholarship Scheme. Subsequently, his remarkable academic journey was acknowledged with the Hong Kong Mathematical Society Best Thesis Award in 2021.

DATENovember 1, 2023
Related News
    • 0

      Potential theory on graphs and applications to continuous problem

      AbstractDiscrete models of classical ‘continuous’ problems have lately become a standard method of investigation. Usually it allows to highlight the geometric and combinatorial nature of a problem at hand singling out the core properties and issues. While sometimes the transition from the continuous medium to a discrete one can result either in a loss of information, or it can drastically cha...

    • 1

      Mathematical Statistics

      IntroductionMathematical statistics is the application of probability theory to data analysis. It involves collecting, organizing, analyzing, interpreting, and presenting data using rigorous mathematical methods. This course covers the basic principles and techniques of statistical theory for graduate students.Lecturer IntroSixu Liu received her Ph.D. degree from Peking University in 2019. She ...