3 papers
math.NA2025
A boundary integral equation method for wave scattering in periodic structures via the Floquet-Bloch transform
Wangtao Lu, Kuanrong Shen, Ruming Zhang
This paper is concerned with the problem of an acoustic wave scattering in a locally perturbed periodic structure. As the total wavefield is non-quasi-periodic, effective truncatio…
math.AP2025
Time-harmonic scattering of plane waves from an infinite periodically inhomogeneous medium
Guanghui Hu, Andreas Rathsfeld, Jiayi Zhang +1
We propose a new radiation condition for an infinite inhomogeneous two-dimensional medium which is periodic in the vertical direction and remains invariant in the horizontal direct…
math.AP2024
The radiation condition for Helmholtz equations above (locally perturbed) periodic surfaces
Ruming Zhang
The radiation condition is the key question in the mathematical modelling for scattering problems in unbounded domains. Mathematically, it plays the role as the "boundary condition…