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In this paper we derive a formalism allowing us to separate inter-layercontributions to the polarizability of a periodic array of 2D materials fromintra-layer ones. To this aim, effective profile functions are introduced. Theyconstitute a tight-binding-like layer-localized basis involving two lengths,the effective thickness $d$ characteristic of the 2D material and theinter-layer separation $L$. The method permits, within the same formalism,either to compute the single-layer dielectric function from an ab-initioperiodic calculation (top-down strategy) or to stack several 2D materials togenerate a finite-thickness van der Waals heterostructure (bottom-up strategy).

Proper ab-initio dielectric function of 2D materials and their polarizable thickness