A theory of electromagnetic surface wave propagation on a plane
superconductor-vacuum interface is presented for a
superconductor with strong coupling. The solution of a
self-consistent equation for the energy of elementary excitations
is obtained in terms of modified u-v transformation method. The
linear response (conductivity) tensor is analysed in the framework
of a non-local description allowing for the finite dimension
of the Cooper pair. Within the framework of the semi-classical
infinite-barrier model the surface wave dispersion relations
are calculated analytically and numerically for the cases of
strong-, intermediate-, and weak-coupling superconductors.