• Corpus ID: 166228458

Scattering in periodic waveguide: integral representation and spectrum decomposition

@article{Zhang2019ScatteringIP,
  title={Scattering in periodic waveguide: integral representation and spectrum decomposition},
  author={Ruming Zhang},
  journal={arXiv: Analysis of PDEs},
  year={2019}
}
  • Ruming Zhang
  • Published 27 May 2019
  • Mathematics
  • arXiv: Analysis of PDEs
Scattering problems in periodic waveguides are interesting but challenging topics in mathematics, both theoretically and numerically. Due to the existence of eigenvalue, the unique solvability of such problems is not always guaranteed. To obtain a unique solution that is physically meaningful, the limiting absorption principle (LAP) is a commenly used method. LAP assumes that the limit of a family of solutions of scattering problems with absorbing material converges, as the absorbing parameter… 
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Numerical methods for scattering problems in periodic waveguides

  • Ruming Zhang
  • Mathematics, Computer Science
    Numerische Mathematik
  • 2021
New numerical methods for scattering problems in periodic waveguides are proposed and based on the Limiting Absorption Principle, which does not need the LAP process during numerical approximations, thus a standard error estimation is easily carried out.

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