Ml. Povinelli et al., Emulation of two-dimensional photonic crystal defect modes in a photonic crystal with a three-dimensional photonic band gap - art. no. 075313, PHYS REV B, 6407(7), 2001, pp. 5313
Using numerical simulations, we demonstrate the construction of two-dimensi
onal- (2D-) like defect modes in a recently proposed 3D photonic crystal st
ructure. These modes, which are confined in all three dimensions by a compl
ete photonic band gap, bear a striking similarity to those in 2D photonic c
rystals in terms of polarization, field profile, and projected band structu
res. It is expected that these results will greatly facilitate the observat
ion of widely studied 2D photonic-crystal phenomena in a realistic, 3D phys
ical system.