We have designed and realized an optically non-existing transformation-medium, based on a specific plasmonic metamaterial. Such a medium can perfectly transport impinging waves at any incident angle under both TE and TM polarizations without phase accumulations. Effective medium theory, mode expansion theory and full-wave simulations are in consistency with each other and facilitated the design of realized samples. We demonstrated experimentally that a curved microwave sample fabricated based on our design can work as a hyperlens, with experimental results in excellent agreement full-wave simulations.