Scattering of plane waves
Analysis of PDEs
2025-09-25 v1
Abstract
We formulate a problem that can be viewed as a natural variation of the so-called Pompeiu or Schiffer problem in the context of scattering of plane waves for the Linear Helmholtz equation. For the two dimensional version of this variation, we establish conditions on the wave numbers and incident directions, that ensure a non-vanishing scattered field.
Cite
@article{arxiv.2509.19716,
title = {Scattering of plane waves},
author = {Narek Hovsepyan and Michael S. Vogelius},
journal= {arXiv preprint arXiv:2509.19716},
year = {2025}
}