M. Bayindir et al., Tight-binding description of the coupled defect modes in three-dimensionalphotonic crystals, PHYS REV L, 84(10), 2000, pp. 2140-2143
We have experimentally observed the eigenmode splitting due to coupling of
the evanescent defect modes in three-dimensional photonic crystals. The spl
itting was well explained with a theory based on the classical wave analog
of the tight-binding (TB) formalism in solid state physics. The experimenta
l results were used to extract the TB parameters. A new type of waveguiding
in a photonic crystal, was demonstrated experimentally. A complete transmi
ssion was achieved throughout the entire waveguiding band. We have also obt
ained the dispersion relation for the waveguiding band of the coupled perio
dic defects from the transmission-phase measurements and from the TB calcul
ations.