Ewald summation of electrostatic interactions in molecular dynamics of a three-dimensional system with periodicity in two directions

The Poisson summation formula is used to calculate the effective interactio n of charged particles in a three-dimensional system with periodicity in tw o dimensions. The interaction energy expression is identical to that obtain ed from the Berthaut approach for the Gaussian spreading function, and its correspondence with the results of the Rhee-Halley-Hautman-Rahman method is shown. The formalism based on the Poisson summation formula is used also t o calculate the interaction energy of point-dipole moments.