An iterative reconstruction algorithm for three-dimensional microwave tomography using time-domain data is presented. The algorithm is the extension of the forward-backward time-stepping method previously proposed for imaging material parameter distributions of two-dimensional objects. The calculations of both electromagnetic fields and adjoint fields in the time domain are carried out efficiently using the finite-difference time-domain (FDTD) method. Numerical calculations show that the algorithm can image three-dimensional mine buried in the soil.
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