  We investigate a classical system that consists of a U(1) gauge field and a
complex Higgs scalar field with a potential that breaks the symmetry
spontaneously. We obtain numerical solutions of the system in the presence of a
smoothly extended external source with a finite size. In the case of the source
is spread wider than the mass scale of the gauge field, perfect screening of
the external source occurs, namely, charge density of the source is canceled
out everywhere by induced counter charge density cloud of the scalar and vector
fields. Energy density induced by the cloud is also obtained.
