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math.AP2022
Uniform far-field asymptotics of the two-layered Green function in 2D and application to wave scattering in a two-layered medium
Long Li, Jiansheng Yang, Bo Zhang +1
In this paper, we establish new results for the uniform far-field asymptotics of the two-layered Green function (together with its derivatives) in 2D in the frequency domain. To th…
math.AP2020★ 1 cited
Piecewise-analytic interfaces with weakly singular points of arbitrary order always scatter
Long Li, Guanghui Hu, Jiansheng Yang
It is proved that an inhomogeneous medium whose boundary contains a weakly singular point of arbitrary order scatters every incoming wave. Similarly, a compactly supported source t…
math.AP2018
Weakly singular corners always scatter
Long Li, Guanghui Hu, Jiansheng Yang
Assume that a bounded scatterer is embedded into an infinite homogeneous isotropic background medium in two dimensions. The refractive index function is supposed to be piecewise co…