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Time-varying metamaterials are artificial materials whose electromagneticproperties change over time. In earlier studies, the equivalent reflection andtransmission coefficients at a temporal interface have been derived. Here, weextend the study to a temporal slab, i.e., a uniform homogeneous medium that ispresent in the space for a limited time. We derive the transmission andreflection coefficients for a metamaterial temporal slab as a function of therefractive indices and application time. Similarly to the role played by theelectrical thickness for spatial slabs, we show that the response of thetemporal slab can be controlled through the application time. The preliminaryresults reported here may pave the way to several novel devices based ontemporal discontinuities.

Propagation through metamaterial temporal slabs: transmission, reflection and special cases