As one of the most fundamental concepts in science and engineering, wave-medium interaction has undoubtedly innovated numerous technologies that have deeply changed our world. The developments of wave-based technologies, however, are hindered by various limitations in wave-medium interaction, such as size limit, frequency limit and material limit. Thus, profound understanding and effective modeling of wave propagation in complex media beyond the existing limits are highly desired. In this talk, I will introduce my contributions in modeling classical wave propagation in complex systems by emphasizing on the following two aspects: metamaterials and classical topological materials. I will start with a brief review of my work on effective medium theories that can go beyond the quasi-static limit, followed by a demonstration of how our theories can guide the explorations of new metamaterials and metasurfaces that break the material parameter and size limits. Then, I will reveal the link between a zero-index material and linear dispersion relations in periodic structures beyond the long-wavelength limit, and introduce a general perturbation theory to characterize the linear dispersions. The so-called Dirac-like cones and double-Dirac cones as well as their links to the classical analogues of topological materials will be discussed.
Dr. Ying Wu obtained her BSc in physic from Nanjing University in 2002 and PhD in physics from the Hong Kong University of Science and Technology (HKUST) in 2008. After spending two years at HKUST as a postdoctoral fellow, she joined King Abdullah University of Science and Technology, Saudi Arabia, in 2010 as an assistant professor and was promoted to the associate professor rank in 2017. Dr. Wu works on the development of innovative models and computational tools to describe wave propagation in complex systems, with a particular focus on homogenization schemes, acoustic and elastic metamaterials, and topological phononics. She serves as a co-editor for EPL and an associate editor for Wave Motion. She was awarded the Young Investigator Award by the International Phononics Society in 2017 and was selected into the 1000 Young Talent Program by the Chinese Government in the same year.
 Maryam Landi, et al. Phys. Rev. Lett. 120, 114301 (2018)
 Jiajun Zhao, et al.J. Acoust. Soc. Am. 142 EL24 (2017)
 Xiujuan Zhang and Ying Wu Opt. Express 25, 4860(2017)
 Xiujuan Zhang and Ying Wu Sci. Rep. 5, 7892 (2015)
 Ying Wu, et al.Phys. Rev. Lett. 107, 105506 (2011)
 Yun Lai, et al.Nat. Mater. 10, 620 (2011)
 Ze-Guo Chen, et al.Phys. Rev. A 95 043827 (2017)
 Jun Mei, et al.Sci. Rep. 6 32752 (2016)
 Ze-Guo Chen and Ying Wu Phys. Rev. Applied 5, 054021 (2016)
 Jun Mei, et al.Phys. Rev. B 86, 035141 (2012)