  We have investigated surface spin wave states in one-dimensional planar
bi-component magnonic crystals, localized on the surfaces resulting from the
breaking of the periodic structure. The two systems have been considered: the
magnonic crystal with periodic changes of the anisotropy field in exchange
regime and the magnonic crystal composed of Fe and Ni stripes in dipolar regime
with exchange interactions included. We chose the symmetric unit cell for both
systems to implement the symmetry related criteria for existence of the surface
states. We investigated also the surface states induced by the presence of
perturbation of the surface areas of the magnonic crystals. We showed, that the
system with modulated anisotropy is a direct analog of the electronic crystal.
Therefore, the surface states in both systems have the same properties. For
surface states existing in magnonic crystals in dipolar regime we demonstrated
that spin waves preserve distinct differences to the electronic crystals, which
are due to long-range dynamic dipolar interactions. We found that tuning of the
strength of magnetization pinning resulting from the surface anisotropy or
dipolar effect is vitally important for existence of the surface states in
magnonic crystals.
