English

Diffraction by a Dirichlet right angle on a discrete planar lattice

Mathematical Physics 2021-12-21 v3 math.MP

Abstract

A problem of scattering by a Dirichlet right angle on a discrete square lattice is studied. The waves are governed by a discrete Helmholtz equation. The solution is looked for in the form of the Sommerfeld integral. The Sommerfeld transformant of the field is built as an algebraic function. The paper is a continuation of [1].

Keywords

Cite

@article{arxiv.2009.03355,
  title  = {Diffraction by a Dirichlet right angle on a discrete planar lattice},
  author = {A. V. Shanin and A. I. Korolkov},
  journal= {arXiv preprint arXiv:2009.03355},
  year   = {2021}
}
R2 v1 2026-06-23T18:22:25.105Z