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math.AP2024
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…
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…
math.AP2024
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…