An enriched RWG basis for enforcing global current conservation in EM modelling of capacitance extraction

Modeling of Resonant Tunneling Diode Oscillators Based on the Time-Domain Boundary Element Method

“…where f m are the enriched Rao-Wilton-Glisson or RWG spatial basis described in [8] excluding the 'varying' half-RWGs, T are 3rd degree shifted piece-wise polynomial Lagrange interpolators, and a l m are the unknown weighting coefficients. The choice of basis functions corresponds to a current injection/extraction that is uniformly distributed along the port of the device.…”

“…The above equation is solved at every time step for the unknown current coefficients using the marching-on-in-time algorithm. In [8] it was shown that adding a lumped component or source introduces an additional voltage term, in this case time-dependent, on the left hand side of equation ( 3). This correspond to an impressed voltage at the port along the edge where the component is connected.…”

“…In existing models, capacitive and inductive effects are included by finetuning the circuit parameters of the model, rather than by ab initio simulation. Second, our approach incorporates the mesh independent port modelling developed in [8] for both the feed lines and the connection of the RTD to the radiating structure. Finally, this paper verifies the correctness in those regions where other solution methods are available by comparing the working frequency with that of a tuned circuit model.…”