The global wave propagation code ORION is extended to include a non-zero component of the wave electric field parallel to . With the inclusion of E||, it is possible to calculate the detailed structure of wave fields in the low density plasma immediately surrounding the antenna and Faraday shield structure. Artificial absorbers on the plasma side of the antenna simulate a boundary condition for outgoing waves. Surface charge induced on the Faraday shield elements causes enhanced parallel electric fields in the gaps between the shield elements. Numerical surveys show the parametric dependence of E|| on the average rotational transform, edge density and wave number.