Let . The image of the other stresslet is at relative vector , for which . Summing direct and image interactions gives the free-surface interaction of two parallel stresslets
The direct neighbour gives no vertical velocity. Its image gives a vertical correction of order , compared with the own-image attraction of order . Thus for ,
The height evolution is unchanged to leading order, while the repulsion is twice the unbounded-fluid value: the neighbouring image lies almost at the same horizontal separation as the real neighbour. At this order and the height follows part (c). The equality for height is asymptotic, not exact; weak neighbour-induced orientation changes are also neglected in the stated parallel configuration.