Year: 2026
Type: preprint
Abstract: This paper addresses the challenge of quantitatively reconstructing initial acoustic sources from time-dependent wave measurements. We introduce novel indicator functions defined through spacetime integrals of acoustic data and carefully designed auxiliary functions. These indicators are foundational for both proving the uniqueness of source reconstruction and developing a quantitative direct sampling scheme. Our comprehensive numerical experiments demonstrate the robustness, accuracy, and computational efficiency of these methods, highlighting their potential for practical acoustic imaging applications.
Source: arXiv (Cornell University)
Authors: Liu, Xiaodong, Wang, Xianchao
Institution: Harbin Institute of Technology
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G4718683146, G5722762857
OpenAlex ID: W7155397708
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