The inverse scattering techniques have become widely used in many applications. These techniques are based on either continuous profile inversion or discrete multi-layer models. The FFT inversion method has been newly introduced for the detection of discrete multi-layer models. In this paper, the performance of the FFT inversion method is investigated for the case of band limited scattered field data. A modification of the inversion algorithm is presented to increase the accuracy of the method in this case. The proposed algorithm exhibits much better accuracy than the directly applied FFT inversion method.