Reversed and anomalous Doppler shifts in periodic media

We have predicted that reversed and anomalous non-relativisitic Doppler shifts can be observed under some circumstances when light reflects from a shock wave front propagating through a photonic crystal. This theoretical prediction is generalizable and applies to wave-like excitations in a variety of periodic media. The first experimental observation of a non-relativistic reversed Doppler effect has recently been made by Seddon and Bearpark in a creative experiment involving the propagation of an electromagnetic shock through a periodic electrical transmission line. We show how our theory quantitatively describes this experiment and how the theory is fundamentally different from the theoretical description proposed by Seddon and Bearpark.