Ewald sums for Yukawa potentials in quasi-two-dimensional systems

In this note, we derive Ewald sums for Yukawa potential for three dimensional systems with two dimensional periodicity. This sums are derived from the Ewald sums for Yukawa potentials with three dimensional periodicity [G. Salin and J.-M. Caillol, J. Chem. Phys. {\bf 113}, 10459 (2000)] by using the method proposed by Parry for the Coulomb interactions [D.E. Parry, Surf. Sci. {\bf 49}, 433 (1975); {\bf 54}, 195 (1976)].