Scattering of plane waves

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.

Publication Details

Journal
ArXiv.org
Published
2025-09-24
Primary Topic
Topological Materials and Phenomena
Type
article
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article

Scattering of plane waves

ArXiv.org
Topological Materials and Phenomena
article

Scattering of plane waves

article en

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.

ArXiv.org
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Scattering of plane waves · ArXiv.org (2025) | TGRS Research Map | TGRS