Fast transmission line coupling calculation using a convolution technique

Fast method for calculation of mutual coupling in planar microwave circuits on general multilayer substrates

“…The module for the calculation of mutual coupling between transmission lines ( [7] and [8]) is developed starting from the general MoM that can handle random shapes. Only first-order coupling is taken into account: the radiation effect of the induced currents is neglected.…”

“…This results in a much faster method because no matrix inversion has to be performed. Full details can be found in [7,8].…”

“…These modules will be discussed very briefly in the next section. More details can be found in [7][8][9][10]. This article will focus mainly on the efforts that are needed to combine these modules and an S-parameter circuit simulation engine.…”

“…In this section we will show how the modules that where described in [7][8][9][10] can be combined with the S-parameter circuit simulator that was discussed in the previous section. Couplings between lines must be filled in at the correct position in the A-submatrix.…”

“…Two methods are used, depending upon whether the source port is on the line or the component. If the source port is on the line, then a (normalised) unit travelling-wave current is imposed on the line (see [8]) and the resulting fields on the component's dipoles will cause an outgoing wave (calculated as indicated in [9]) on the component's ports. If the source port is on the component, then the currents on the dipoles (see [9]) will induce a field on the line.…”