Title
Inverse scattering by diffracted waves
Abstract
Beyond reflection and refraction, another form of wave deviation is defined as diffraction. Notably, when incident waves strike a corner, diffracted waves emanate from the corner tip and propagate in all directions. We propose a novel framework for detecting rigid cornered obstacles using measured diffracted wave data. This methodology offers two key advantages: first, the receiver's size and location can be arbitrary; second, the numerical inversion process does not require numerical data from the associated wave equations.