5 papers · 1 filter
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…
Existence and uniqueness of Generalized Polarization Tensors vanishing structures
Fanbo Sun, Youjun Deng
This paper is concerned with the open problem proposed in Ammari et. al. Commun. Math.Phys, 2013. We first investigate the existence and uniqueness of Generalized Polarization Tens…
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…