  Plasmonic lattices consisting of nanoparticles in a homogeneous environment
are well known fortheir support of so-called lattice plasmon resonances. They
are associated with localized surfaceplasmons coupled to each other via free
propagating photons along the structure. In this paper, weexplore modes in a
stack of two identical plasmonic lattices. We demonstrate that such a
structureis able to support a mode that is positioned strictly on a Rayleigh
anomaly and does not shift withthe variation of distance between two lattices
in wide limits. Given the fact that period is the moststably reproduced
quantity in an experiment, such behavior can be used to simplify the
fabricationof structures with resonances at desired energies.
