A novel hybrid 2D/Q-2D finite element method for power/ground plane analysis

By realizing the TMz modal distribution property between the power/ground plate-pairs, the magnetic field actually has only azimuthal components while longitude component is zero. Thus, if the magnetic field wave equation is solved, only a Quasi-2D issue is considered. Furthermore, since the high-order modes are only located in the near region of the anti-pad, thus for the domain far-away from the antipad has only the TEM mode. Thereby, in this region, the magnetic field is invariable along the vertical direction, which consequently is a pure 2D domain. As a result, the conventional 3D computational domain is naturally transformed to a hybrid 2D/Q-2D domain, which will significantly reduce the computational cost.