  We report our detailed analysis of a table-top system for the measurement of
the weak-force-induced electric dipole moment of a ground state hyperfine
transition carried out in an atomic beam geometry. We describe an experimental
configuration of conductors for application of orthogonal r.f. and static
electric fields, with cavity enhancement of the r.f. field amplitude, that
allows confinement of the r.f. field to a region in which the static fields are
uniform and well-characterized. We carry out detailed numerical simulations of
the field modes, and analyze the expected magnitude of statistical and
systematic limits to the measurement of this transition amplitude in atomic
cesium. The combination of an atomic beam with this configuration leads to
strong suppression of magnetic dipole contributions to the atomic signal. The
application of this technique to the measurement of extremely weak transition
amplitudes in other atomic systems, especially alkali metals, seems very
feasible.
