Nonlinear optics confronts the U(1) theory of electrodynamics with the dile
mma of the existence of nonlinear fields. The U(1) group is completely line
ar and Abelian and causes consideration of an SU(2) theory of electrodynami
cs. An SU(2) theory of electrodynamics, with a B-3 magnetic field, means th
at physics is forced to consider an SU(2) x SU(2) electroweak theory. It is
then demonstrated that the B-3 field exists on the physical vacuum defined
by the Higgs symmetry breaking of this extended electroweak theory.