Impedance Calculation of Power and Ground Planes by Using Imaging Methods

In this paper, we calculate the input impedance of the power and ground planes by using the method of Green functions. The geometry is equivalent to a two-dimensional transverse magnetic problem. A two-dimensional Green's function, the image Green function, is employed to simulate the noise propagation between the power and ground planes. The equivalence between the image Green's function and the conventional mode Green's function is validated. Furthermore, the convergence and accuracy of the mode Green's function and image Green's function at different frequency bands are analyzed. Finally, through the comparison with the full-wave method, the accuracy and efficiency of the proposed imaging method are validated.