Improvement of the Born approximation in the reconstruction of dielectric object by using the projection function

In the microwave imaging of conducting scatterer, a spatial slice theorem may be introduced and a computerized tomographic (CT) algorithm may directly be employed in reconstructing images without interpolation processing. It is noted that the same concept may also be applied to the reconstruction of dielectric objects in the sense of the Born approximation. It is shown that the discrete Fourier transform of the normalized backscattered field yields the projection function which makes possible the reconstruction of the distribution of dielectric constants through the CT algorithm. Furthermore, the limiting factors in the degraded reconstructed image due to the Born approximation are identified in terms of the projection function, and its modification is suggested for improving the algorithm based upon the Born approximation.<>