Electromagnetic reconstruction of 2-D permittivity profiles of inhomogeneous dielectric cylinder by the diffraction slice-projection algorithm

The diffraction slice-projection theorem is developed and implemented numerically for microwave imaging of two-dimensional dielectric objects. While the convolution-backprojection algorithm is used, the projection direction of the presented theorem is normal to the wavelength vector. Based on this algorithm, computer simulations provide fairly good images of weak inhomogeneities. For strong inhomogeneities, the physical mechanism on the degradation of images is explained by the fact that the distribution of the projection function leaks out its real extent along the range direction. Hence, the compression of the projection function is expected to be an effective tool for reconstructing strong inhomogeneous objects even if the necessary condition on the first-order Born approximation is violated