Shenzhen University School of Mathematical Sciences  

Liyuan Scholars Colloquium Session 168

Title:  Wave Modes of the Helmholtz Equation in Layered Periodic Structures

Speaker: Professor Guanghui Hu (Nankai University)

Time: 10:30–11:30, May 15, 2026

Location: Room 3, Huixing Building, Yuehai Campus, Shenzhen University

Abstract: Diffractive optics in periodic structures is a major research area in modern photonics. Given the significant applications of layered periodic structures in mask design and chip fabrication, the wave modes of the Helmholtz equation in periodic structures serve as essential tools for fast simulation calculations (such as the strictly coupled wave RCWA method). Using Bloch theory, the presenter will derive all wave modes of the Helmholtz equation for various layered periodic structures and half-space inhomogeneous periodic media, providing a theoretical foundation for the design of fast and stable forward and inverse algorithms.

Speaker Profile: Guanghui Hu is a professor and doctoral advisor at the School of Mathematical Sciences, Nankai University, and serves as the Chair of the Department of Scientific and Engineering Computing. He received his Ph.D. from the Institute of Applied Mathematics at the Academy of Mathematics and Systems Science, Chinese Academy of Sciences, in 2009. From 2009 to 2016, he worked at the Weierstrass Institute (WIAS) of the Leibniz Association in Germany, supported by a grant from the German Research Foundation (DFG). He has been selected for the National Program for Overseas High-Level Talents (Youth Category) and the Humboldt Foundation’s Senior Visiting Scholar Program. He currently leads a National Science Fund for Distinguished Young Scholars (Type A) project, serves as an Executive Council Member of the 11th Computational Mathematics Branch of the Chinese Mathematical Society, a Council Member of the Chinese Society for Industrial and Applied Mathematics, and Chair of the Computational Mathematics Branch of the Tianjin Mathematical Society. He is also on the editorial boards of Inverse Problems and Imaging and Numerical Computation and Computer Applications. His research focuses on the mathematical theory and computational methods for forward and inverse scattering problems, and he has published over 90 academic papers.

All faculty and students are welcome!  

School of Mathematical Sciences  

May 11, 2026