Inverse source problem for discrete Helmholtz equation - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2024

Inverse source problem for discrete Helmholtz equation

Abstract

We consider multi-frequency inverse source problem for the discrete Helmholtz operator on the square lattice Z^d , d ≥ 1. We consider this problem for the cases with and without phase information. We prove uniqueness results and present examples of non-uniqueness for this problem for the case of compactly supported source function, and a Lipshitz stability estimate for the phased case is established. Relations with inverse scattering problem for the discrete Schrödinger operators in the Born approximation are also provided.
Fichier principal
Vignette du fichier
NSh_2024.pdf (350.76 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-04473450 , version 1 (22-02-2024)
hal-04473450 , version 2 (06-07-2024)

Identifiers

  • HAL Id : hal-04473450 , version 2

Cite

Roman Novikov, Basant Lal Sharma. Inverse source problem for discrete Helmholtz equation. 2024. ⟨hal-04473450v2⟩
43 View
33 Download

Share

Gmail Mastodon Facebook X LinkedIn More