  In this Letter, we discuss two general classes of apparent violations of the
bulk-edge correspondence principle for uniform topological photonic materials,
associated with the asymptotic behavior of the surface modes for diverging
wavenumbers. Considering a nonreciprocal plasma as a model system, we show that
the inclusion of spatial dispersion (e.g., hydrodynamic nonlocality) formally
restores the bulk-edge correspondence by avoiding an unphysical response at
large wavenumbers. Most importantly, however, our findings show that, for the
considered cases, the correspondence principle is physically violated for all
practical purposes, as a result of the unavoidable attenuation of highly
confined modes even if all materials are assumed perfect, with zero intrinsic
bulk losses, due to confinement-induced Landau damping or nonlocality-induced
radiation leakage. Our work helps clarifying the subtle and rich topological
wave physics of continuous media.
