Abstract
The fundamental framework of transformation optics describes how coordinatetransformations on electromagnetic fields can be physically realized through complexmaterial parameters. This approach includes the possibility of transforming time as well asspace, but the applications of such transformations remain relatively unexplored. Here weanalyze the material properties and wave effects of a one-dimensional spatially varying timetransformation. This transformation results in relatively simple electromagnetic materialparameters defined by isotropic dielectric constants with a time-varying magnetoelectriccoupling constant. We show that the resulting wave and field behavior in this medium iswhat is expected from the transformation, namely that an input frequency is scaled toa new and arbitrary output frequency defined by the overall magnitude of thetime transformation. While the parameters required to realize such a medium arecomplex, we describe how the needed time-varying magnetoelectric coupling isfeasible using an externally tunable electromagnetic metamaterials approach.
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