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arXiv · 2401.14103

Inverse source problem for discrete Helmholtz equation

Roman Novikov·Basant Lal Sharma
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Abstract

We consider multi-frequency inverse source problem for the discrete Helmholtz operator on the square lattice $\mathbb{Z}^d$, $d \ge 1$. 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.

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Roman Novikov, Basant Lal Sharma. 2024-07-06. Inverse source problem for discrete Helmholtz equation. https://arxiv.org/abs/2401.14103

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