Inverse scattering for conductors by the equivalent source method

The inverse scattering for two-dimensional conductors is investigated. Assume that an incident wave is incident upon conducting cylinders of unknown shape and the scattered field is measured outside. By properly processing the scattering data, the position and shape of the conducting scatterers can then be reconstructed. The proposed theory of inverse scattering is a combination of the diffraction tomography and the equivalent source method. To overcome the ill-posedness, the condition of the measured scattered field and the boundary condition on the conductor surfaces are combined and recast into an optimization problem using the least-squares concept. By comparing the reconstructed and the prescribed results, the inversion algorithms are numerically examined. Note that if a priori information of the shape is sufficient and the equivalent sources are properly placed, the algorithms can be flexibly applied to the cases of multiple conductors. Also the effects of noise contamination and multiple scattering on the reconstruction result are numerically investigated.