The high-Q achievable by self-resonant structures increases the range and efficiency of wireless power transfer (WPT). However, to date implementations of this structure have been thick, which limits their practical implementations. In the attached paper, they explore the design of thin self-resonant structures. Looking into a computationally efficient 2-D optimization algorithm is proposed to design thin resonant structures and illustrate the trade-offs in the design, and a new magnetic core shape is proposed which shapes the magnetic field lines to be parallel to the conductive layers and reduces current crowding.