Recovering a tensor on the boundary from polarization and phase measurements

We consider the problem of recovering a quasi-isotropic medium from polarization measurements made along the boundary. We show that the polarization and phase data uniquely determine a 2-tensor f and all of its normal derivatives on the boundary in dimension n ≥ 4. In dimension n = 3, we establish a similar result which accounts for a natural non-uniqueness in the inverse problem. © 2009 IOP Publishing Ltd.