  The electromagnetic properties of the SU(3)-flavor baryon decuplet are
examined within a lattice simulation of quenched QCD. Electric charge radii,
magnetic moments, and magnetic radii are extracted from the E0 and M1 form
factors. Preliminary results for the E2 and M3 moments are presented giving the
first model independent insight to the shape of the quark distribution in the
baryon ground state. As in our octet baryon analysis, the lattice results give
evidence of spin-dependent forces and mass effects in the electromagnetic
properties. The quark charge distribution radii indicate these effects act in
opposing directions. Some baryon dependence of the effective quark magnetic
moments is seen. However, this dependence in decuplet baryons is more subtle
than that for octet baryons. Of particular interest are the lattice predictions
for the magnetic moments of $\Omega^-$ and $\Delta^{++}$ for which new recent
experimental measurements are available. The lattice prediction of the
$\Delta^{++}/p$ ratio appears larger than the experimental ratio, while the
lattice prediction for the $\Omega^-/p$ magnetic moment ratio is in good
agreement with the experimental ratio.
