I am struggling with a problem which involves the calculation of the nonuniform electric field fields between two identical parallel plates in which one of the plates is slightly displaced in lateral direction with respect to the other plate (i.e. they do not overlap perfectly). The gap between the overlapping parts of the plates is much smaller than the plate dimensions. In particular, I am interested in calculating the lateral electric force acting on the displaced plate. I presume that this force is mainly generated from the change in the fringe fields between the edges of the plates. I have searched the literature for papers which cover this special case of a parallel plate capacitor, however, I have found nothing so far. Why is that so? Is it because the asymmetry of the plate arrangement renders an analytical solution impossible or very cumbersome? Can anyone help me by directing me to published work or by providing me with the general (analytical) approach in attacking this problem? Thanks a bunch!!