3 papers
math.NA2021
Exponential convergence of perfectly matched layers for scattering problems with periodic surfaces
Ruming Zhang
The main task in this paper is to prove that the perfectly matched layers (PML) method converges exponentially with respect to the PML parameter, for scattering problems with perio…
math.AP2019
Spectrum decomposition of translation operators in periodic waveguide
Ruming Zhang
Scattering problems in periodic waveguides are interesting but also challenging topics in mathematics, both theoretically and numerically. Due to the existence of eigenvalues, the…
math.AP2018
Scattering problems from slightly perturbed periodic surfaces: Part I. regularity of the Bloch transformed fields
Ruming Zhang
Rough surface scattering problems are always very challenging both theoretically and numerically. In this paper, we adopt the Bloch transform and the perturbation theory to investi…