English

Determining a sound-soft polyhedral scatterer by a single far-field measurement

Analysis of PDEs 2007-05-23 v2

Abstract

We prove that a sound-soft polyhedral scatterer is uniquely determined by the far-field pattern corresponding to an incident plane wave at one given wavenumber and one given incident direction.

Cite

@article{arxiv.math/0307004,
  title  = {Determining a sound-soft polyhedral scatterer by a single far-field measurement},
  author = {Giovanni Alessandrini and Luca Rondi},
  journal= {arXiv preprint arXiv:math/0307004},
  year   = {2007}
}

Comments

The proof of Proposition 3.2 is incomplete. Corrigendum is available through arXiv (math.AP/0601406)

R2 v1 2026-07-22T16:55:51.341Z