We have applied the Ewald-Kornfeld formulation to a tetragonal lattice of p
oint dipoles, in an attempt to examine the effects of geometric anisotropy
on the local field distribution. The various problems encountered in the co
mputation of the conditionally convergent summation of the near field are a
ddressed and the methods of overcoming them are discussed. The results show
that the geometric anisotropy has a significant impact on the local field
distribution. The change in the local field can lead to a generalized Claus
ius-Mossotti equation for the anisotropic case.