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An iterative algorithm is presented to provide a simple but approximate solution to the excitation of an infinite wedge by an evanescent wave. The device is constructed from hyperbolic metamaterial and this contributes in the partial conversion of the evanescent field into multiple propagating modes. The effectiveness and the performance of this transformation is expressed through a novel power ratio. Its variation with respect to the geometrical and material parameters of the problem is observed, while certain conclusions are presented and discussed.