5 papers
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…
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…
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…
Optimal estimate of electromagnetic field concentration between two nearly-touching inclusions in the quasi-static regime
Youjun Deng, Hongyu Liu, Liyan Zhu
We investigate the electromagnetic field concentration between two nearly-touching inclusions that possess high-contrast electric permittivities in the quasi-static regime. By usin…
Inverse conductivity problem with one measurement: Uniqueness of multi-layer structures
Lingzheng Kong, Youjun Deng, Liyan Zhu
In this paper, we study the recovery of multi-layer structures in inverse conductivity problem by using one measurement. First, we define the concept of Generalized Polarization Te…