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This paper describes the results of an experimental program to measure diffracted fields in the near zones of metallic and dielectric spheres and of metallic and dielectric cones. Amplitude and phase of the total electric fields are given over in the plane of symmetry of the models. The experimental results for spheres are compared with the exact theory developed by Mie. The experimental results for a metallic cone at "nose-on" incidence are compared with approximations based on Keller's Geometrical Theory of Diffraction.