  We present an analysis of the Hall conductivity $\sigma_{xy}(\omega, T)$ in
time reversal symmetry breaking states of exotic superconductors. We find that
the dichroic signal is non-zero in systems with inter-band order parameters.
This new intrinsic mechanism may explain the Kerr effect observed in strontium
ruthenate and possibly other superconductors. We predict coherence factor
effects in the temperature dependence of the imaginary part of the ac Hall
conductivity $ Im\sigma_{xy}(\omega, T)$, which can be tested experimentally.
