Impedance Expressions for Unloaded and Loaded Power Ground Planes

New, computationally efficient expressions are developed for input and transfer impedance for cylindrical ports on rectangular power ground planes. The expressions show directly the low-frequency characteristics of the planes. This low-frequency behavior is exploited to obtain computationally efficient expressions for impedance parameters of the capacitor-loaded planes that show directly the characteristics of poles caused by the interactions of the loading capacitors and the planes.