  The ideas of the linear combination of atomic orbitals (LCAO) method, well
known from the study of electrons, is extended to the classical wave case. The
Mie resonances of the isolated scatterer in the classical wave case, are
analogous to the localized eigenstates in the electronic case. The matrix
elements of the two-dimensional tight-binding (TB) Hamiltonian are obtained by
fitting to ab initio results. The transferability of the TB model is tested by
reproducing accurately the band structure of different 2D lattices, with and
without defects, thus proving that the obtained TB parameters can be used to
study other properties of the photonic band gap materials.
