We investigate dispersion curves of coupled waveguides in hexagonal lattices. We find that their coupling coefficients change magnitude and sign along the BZ and that the modes here are no longer odd and even modes.

We present a new method for designing mode fields of 3D photonic crystal heterostructure cavities. The method is several orders of magnitude faster than existing numerical methods and enables rapid design of heterostructure ...

We demonstrate the existence of a class of defects in 2D photonic crystals, for which the eigenstates depend only on the defect geometry, and not on details Re photonic crystal parameters or defect size.

We investigate the modes of double heterostructure cavities where the underlying photonic crystal waveguide has been dispersion engineered to have two band-edges inside the Brillouin zone. By deriving and using a perturbative ...