Photonic Hall effect of inactive Mie scatterers in a Faraday active matrix

We describe an experimental study of the photonic Hall effect in media consisting of a magneto-optically active matrix and magneto-optically inert Mie scatterers. We call such media reversed with respect to the normal media having magneto-optically active Mie scatterers in inert matrices in which the photonic Hall effect has been studied so far. We show the photonic Hall effect in reversed media to be proportional to VBl*, where V is the Verdet constant of the matrix, l* the transport mean free path of the liquid, and B the applied magnetic field. We further propose an empirical expression that unifies the results obtained in normal and reversed media and present a simple analytic model to illustrate the photonic Hall effect.