Superresolution imaging applied to ultrasonic scattering

A new method for solving ultrasonic inverse scattering problems is proposed. By focusing a model constraint on the impedance profile the authors find a set of non-linear equations relating the reflection coefficient to the parameters of the model constraint. The non-linear part of the equations can be reduced to a linear prediction spectral estimation problem by means of the Born approximation, and the remaining linear part can be solved using least squares. Results for model calculations are presented for perfect data and noisy data.