Solutions for edge waves trapped on a concave upward exponential topography (type a) were given by Ball in 1967. This study extends Ball's solutions to convex upward exponential topographies (type b). Similar results are found in terms of eigenmodes, cutoff frequencies, etc., in both cases, but a new phenomenon which was not found in the previous solutions, stopping zones of frequency, is found for the present case. In addition, the group velocity shows far more structure for convex upward exponential topography.