  Nanophotonics systems have recently been studied under the perspective of
non-Hermitian physics. Given their potential for wavefront control, nonlinear
optics and quantum optics, it is crucial to develop predictive tools to assist
nanophotonic design. We present here a simple model relying on the coupling to
an effective bath consisting of a continuum of modes to describe systems of
coupled resonators, and test it on dielectric nanocylinder chains accessible to
experiments. The effective bath coupling constants, which depend non-trivially
on the distance between resonators, are extracted from numerical simulations in
the case of just two coupled elements. The model predicts successfully the
dispersive and reactive nature of modes for configurations with multiple
resonators, as validated by numerical solutions. It can be applied to larger
systems, which are hardly solvable with finite-element approaches.
