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This paper presents the design of a mounting plate with such a complex permittivity profile as to minimize the reflection off the mounting plate over a broad range of incidence angles while also providing the mechanical rigidity necessary for mounting a styrofoam jig holding the device under test. The permittivity profile is achieved by boring circular cones from the front and the back surfaces of a lossy dielectric slab in a way that achieves near-optimum packing of the cones on both surfaces. The resulting geometry is reminiscent of a, honeycomb structure, and is modeled as a uniaxial medium with the optic axis parallel to the normal of the plate. A modified scattering matrix propagator scheme was developed to predict the reflection and the transmission coefficients for both the TE/sup z/ and TM/sup z/ polarizations in a way that takes into account explicitly both the effect of the non-uniform wave propagation incurred by the presence of material losses, and the effect of the longitudinal anisotropy incurred by the geometry of the machined plate. A choice of parameters that yields a predicted reflection level of less than about -22 dB over an angular range of 0/spl deg/ to about 50/spl deg/ is presented.