Abstract
Reconstructing multipolar acoustic sources from far-field data is a highly ill-posed inverse problem when the count, locations, types, and intensities are all unknown. We propose a physics-guided deep learning framework that fully reconstructs the sources at a fixed frequency, using four-channel Direct Sampling Method (DSM) indicator functions as physics-informed inputs within a divide-and-conquer pipeline. Numerical experiments demonstrate accuracy, robustness to noise, and flexibility.
| Original language | English |
|---|---|
| Article number | 110097 |
| Journal | Applied Mathematics Letters |
| Volume | 184 |
| DOIs | |
| State | Published - Jan 2027 |
| Externally published | Yes |
Keywords
- Deep learning
- Direct sampling method
- Helmholtz equation
- Inverse source problem
- Multipolar acoustic sources
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