English

An inverse problem without the phase information

Mathematical Physics 2017-01-03 v1 math.MP

Abstract

We prove a new uniqueness theorem for an inverse scattering problem without the phase information for the 3-D Helmholtz equation. The spatially distributed dielectric constant is the subject of the interest in this problem. We consider the case when the modulus of the scattered wave field |u_{sc}| is measured. The phase is not measured.

Keywords

Cite

@article{arxiv.1701.00211,
  title  = {An inverse problem without the phase information},
  author = {Michael V. Klibanov},
  journal= {arXiv preprint arXiv:1701.00211},
  year   = {2017}
}
R2 v1 2026-06-22T17:38:40.562Z