Abstract
This paper is concerned with the development of an inversion scheme for two-dimensional inverse scattering problems in the resonance region which does not use nonlinear optimization methods and is relatively independent of the geometry and physical properties of the scatterer. It is assumed that the far field pattern 
corresponding to observation angle 
and plane waves incident at angle 
is known for all 
. From this information, the support of the scattering obstacle is obtained by solving the integral equation
where k is the wavenumber and 
is on a rectangular grid containing the scatterer. The support is found by noting that 
is unbounded as 
approaches the boundary of the scattering object from inside the scatterer. Numerical examples are given showing the practicality of this method.