A novel study on subspace migration for imaging of a sound-hard arc
This incremental work provides theoretical insight into subspace migration for a specific inverse acoustic problem, but offers no practical performance gains or benchmarks.
The study analyzes how test vector selection affects subspace migration for imaging a sound-hard arc in 2D inverse acoustics, deriving a mathematical structure linking imaging performance to the arc's shape. Simulations with noisy data confirm the derived structure.
In this study, the influence of a test vector selection used in subspace migration to reconstruct the shape of a sound-hard arc in a two-dimensional inverse acoustic problem is considered. In particular, a new mathematical structure of imaging function is constructed in terms of the Bessel functions of the order 0, 1, and 2 of the first kind based on the structure of singular vectors linked to the nonzero singular values of a Multi-Static Response (MSR) matrix. This structure indicates that imaging performance of subspace migration is highly related to the unknown shape of arc. The simulation results with noisy data indicate support for the derived structure.