3 papers
math.AP2025
Mathematical analysis of subwavelength resonant acoustic scattering in multi-layered high-contrast structures
Youjun Deng, Lingzheng Kong, Yongjian Liu +1
Multi-layered structures are widely used in the construction of metamaterial devices to realize various cutting-edge waveguide applications. This paper makes several contributions…
math.AP2025
Spectral theory of the Neumann-Poincaré operator on multi-layer structures and analysis of plasmon mode splitting
Youjun Deng, Lingzheng Kong, Zijia Peng +1
In this paper, we develop a general mathematical framework for analyzing electostatics within multi-layered metamaterial structures. The multi-layered structure can be designed by…
math-ph2024
Mathematical theory on multi-layer high contrast acoustic subwavelength resonators
Youjun Deng, Lingzheng Kong, Hongjie Li +2
Subwavelength resonance is a vital acoustic phenomenon in contrasting media. The narrow bandgap width of single-layer resonator has prompted the exploration of multi-layer metamate…