A further study has been made of a ring-type electrostatic focuser for molecular beams in respect of the degree of spatial separation of molecules with either the internal or external electric field. The external electric field of the ring focuser is calculated and is shown to have a very similar magnitude, and spatial extent to that of the already known internal field. State selection of that part of a molecular beam which sheaths the ring focuser, as well as that part within but deflected away from the beam axis, are shown experimentally to form intense annular rings of state selected molecules, concentric with the central core of focused molecules. Similar experimental results are also obtained with focusers of different geometries. A new method of a molecular beam spectrometer signal enhancement based on these observations is proposed.