In lossless transmission lines terminated on purely reactive loads reflections cannot be avoided, due to the significative impedance mismatch between the real characteristic impedance of the transmission line and the imaginary impedance of the load. Several techniques have been proposed to achieve matching, and all of them are based on the introduction of a resistive lumped element at the end of the line to obtain the power dissipation required to achieve zero reflection. In this contribution, we show a way to achieve the perfect matching condition for purely reactive loads by exploiting the properties of complex frequency excitation, i.e. a signal having a peculiar temporal shape. The proposed solution does not involve dissipation, since the load is purely reactive and energy is stored in the load as long as the complex frequency excitation condition is satisfied, giving rise to an interesting singularity in the transient regime, also known as virtual absorption. Then, the stored energy leaks out the load as soon as the applied excitation varies or stops.
Marini, A., Ramaccia, D., Toscano, A., Bilotti, F. (2020). Complex frequency excitation enabling perfect matching of reactive-loaded transmission lines. In 2020 14th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2020 (pp.321-323). Institute of Electrical and Electronics Engineers Inc. [10.1109/Metamaterials49557.2020.9284974].
Complex frequency excitation enabling perfect matching of reactive-loaded transmission lines
Marini A.;Ramaccia D.;Toscano A.;Bilotti F.
2020-01-01
Abstract
In lossless transmission lines terminated on purely reactive loads reflections cannot be avoided, due to the significative impedance mismatch between the real characteristic impedance of the transmission line and the imaginary impedance of the load. Several techniques have been proposed to achieve matching, and all of them are based on the introduction of a resistive lumped element at the end of the line to obtain the power dissipation required to achieve zero reflection. In this contribution, we show a way to achieve the perfect matching condition for purely reactive loads by exploiting the properties of complex frequency excitation, i.e. a signal having a peculiar temporal shape. The proposed solution does not involve dissipation, since the load is purely reactive and energy is stored in the load as long as the complex frequency excitation condition is satisfied, giving rise to an interesting singularity in the transient regime, also known as virtual absorption. Then, the stored energy leaks out the load as soon as the applied excitation varies or stops.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
