Application of the measured equation of invariance to transmission lines and discontinuities

The MEI (measured equation of invariance) method can easily be applied to static analyses of uniform transmission lines, such as single and coupled microstrip lines. Laplace´s equation is solved for the static electric potential, and the total charges on the metal structures are found. Solving the problem with the correct permittivity values for the dielectrics yields the capacitance of the structures, while solving the problem with all permittivities equal to the free-space value yields the inductances. The quasi-static impedance values may then be obtained. Planar microstrip-type structures, where currents are confined to two dimensions are also considered. Results are presented for cases where no dielectric is present. This simplifies the Green´s function calculation for the present purposes, but the method may be applied to more general cases.<>