  We develop a dynamic description of an effective Dirac theory in
metamaterials, in which the wavefunction is modeled by the corresponding
electric and magnetic field in the metamaterial. This electro-magnetic field
can be probed in the experimental setup, which means that the wavefunction of
the effective theory is directly accessible by measurement. Our model is based
on a plane wave expansion, which ravels the identification of Dirac spinors
with single-frequency excitations of the electro-magnetic field in the
metamaterial. The characteristic Zitterbewegung is shown to emerge in
simulations of the effective theory and we verify this signature with an
analytic solution.
