Factorization method with one plane wave: from model-driven and data-driven perspectives

Abstract The factorization method provides a necessary and sufficient condition for characterizing the shape position of an unknown scatterer by using far-field patterns infinitely many time-harmonic plane waves at fixed frequency (which are also called multistatic data response matrix). This paper is concerned with single pattern to recover arbitrary convex polygonal scatterer/source. Its one-wave version relies on absence analytical continuation scattered/radiated wave-fields in corner domains. It can be regarded as domain-defined sampling does not require forward solvers. In this we provide rigorous mathematical justification present some preliminary numerical examples. particular, proposed interpreted model-driven data-driven imaging scheme, it shows how incorporate priori knowledge about target into test scatterers purpose detecting obstacles/sources specific features.