An analysis of the self impedance of waveguide-fed transverse slots radiating between baffles is presented. The region exterior to the slot is treated as a parallel plate (PP) waveguide which radiates into half space through an aperture in an infinite ground plane. The slot problem is analyzed using a set of integral equations which are solved numerically using the method of moments. The results can be used in previously published design procedures for waveguide-fed series slot arrays. The theoretical results will be validated using network measurement