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Dispersion and the transverse aether drag

A simple argument from relativistic kinematics is used to obtain the transverse displacement of a light ray propagating through a transversely moving dispersive medium, as observed in the experiment of Jones (1972). The displacement for a slab of medium of thickness t moving with speed v is found to be vt(ng—nq-1)/c where c is the speed of light in vacuo and ng and nq are respectively the group and phase refractive indices of the medium.