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math-ph2026
Quantitative Direct Sampling for Initial Acoustic Sources
Xiaodong Liu, Xianchao Wang
This paper addresses the challenge of quantitatively reconstructing initial acoustic sources from time-dependent wave measurements. We introduce novel indicator functions defined t…
math-ph2026
A Radon-transform-based formula for reconstructing acoustic sources from the scattered fields
Xiaodong Liu, Jing Wang
We propose a novel indicator function for reconstructing acoustic sources from multi-frequency near-field measurements. The theoretical basis is established by a formula relating t…
math-ph2025
The Radon Transform-Based Sampling Methods for Biharmonic Sources from the Scattered Fields
Xiaodong Liu, Qingxiang Shi, Jing Wang
This paper presents three quantitative sampling methods for reconstructing extended sources of the biharmonic wave equation using scattered field data. The first method employs an…