A physically-informed Deep-Learning approach for locating sources in a waveguide
This work addresses the resolution limitation in source localization for acoustics and geophysics, offering a domain-specific improvement over traditional imaging methods.
The paper tackled the inverse source problem in waveguides, where traditional methods fail to resolve closely spaced sources below the wavelength limit, by proposing a physically-informed neural network with a novel loss term that enables super-resolution; the method accurately located unknown numbers of point sources in a 2D waveguide, even when they were placed close together.
Inverse source problems are central to many applications in acoustics, geophysics, non-destructive testing, and more. Traditional imaging methods suffer from the resolution limit, preventing distinction of sources separated by less than the emitted wavelength. In this work we propose a method based on physically-informed neural-networks for solving the source refocusing problem, constructing a novel loss term which promotes super-resolving capabilities of the network and is based on the physics of wave propagation. We demonstrate the approach in the setup of imaging an a-priori unknown number of point sources in a two-dimensional rectangular waveguide from measurements of wavefield recordings along a vertical cross-section. The results show the ability of the method to approximate the locations of sources with high accuracy, even when placed close to each other.