Extensión del método de las diferencias finitas en el dominio del tiempo para el estudio de estructuras híbridas de microondas incluyendo circuitos concentrados activos y pasivos

Abstract

In this work, a study of several extensions of the conventional finite difference time domain (FDTD) method is been carried out. These extensions enable the electromagnetic simulation of microwave hybrid structures, including passive and active circuits. First, an exhaustive revision of both the lumped-element (LE) -FDTD and the lumped-network (LN) �FDTD methods is performed. These methods allow us to incorporate two-terminal lumped circuits into the FDTD. In addition, the numerical properties of the LN-FDTD method are studied for the first time. Second, the two-port (TP)-LN-FDTD is presented. This method enables the incorporation of linear two-port lumped circuits into the studied hybrid structures. This technique basically consists of describing a TP-LN by means of its admittance matrix in the Laplace domain. Then, by applying the Mobius transformation technique, we obtain the discretized admittance matrix. Finally, this method is combined with other existing techniques to allow the simulation of several microwave hybrid circuits.