I've attached a photo of two models. Model 1 does not have a slot, whereas model 2 does. If you look at both of these models' radiation patterns after adding a slot, the radiation pattern in the xz plane or phi=90 appears asymmetric! There is no form of asymmetric behavior without a slot!
How would you explain the asymmetric radiation pattern in the H-plane for a coplanar Vivaldi antenna?