Fabry-Perot cavities and matching slabs implemented in time-domain by using time-varying metamaterials

In this contribution, we propose the design in time-domain of two key components in electromagnetic theory, the Fabry-Perot cavity and the matching slab. Starting from the well-known reflection and transmission properties of a temporal medium discontinuity, we extend here the study to the case of the general case of multiple discontinuities, evaluating analytically the general reflection and transmission coefficients for a temporal metamaterial slab, i.e. a uniform homogeneous medium that is present in space for a limited time. It is found that the scattering response from this temporal device may be tuned to act as a temporal Fabry-Perot cavity and matching network by selecting the application time that acts like the electrical thickness for spatial slabs. Several novel devices based on temporal discontinuities can be derived by the presented concept of the temporal slab, such as temporal dielectric mirrors, broadband temporal matching networks, and temporal anomalous refraction.