  Based on the analogy with non-minimal SU(2) symmetric Wu-Yang monopole with
regular metric, the solution describing a non-minimal U(1) symmetric Dirac
monopole is obtained. In order to take into account the curvature coupling of
gravitational and electromagnetic fields, we reconstruct the effective metrics
of two types: the so-called associated and optical metrics. The optical metrics
display explicitly that the effect of birefringence induced by curvature takes
place in the vicinity of the non-minimal Dirac monopole; these optical metrics
are studied analytically and numerically.
