Circuit virtual perfect matching enabled by complex frequency excitation

In this contribution, we exploit virtual perfect matching to achieve impedance matching of purely reactive loads in lossless transmission lines, by using complex frequency excitation, i.e. a signal having a specific temporal shape. The proposed system is lossless, since the load is purely reactive, energy is not dissipated, but 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 accumulated energy is released by the load once the applied illumination changes.