K. Sakoda, GROUP-THEORETICAL CLASSIFICATION OF EIGENMODES IN 3-DIMENSIONAL PHOTONIC LATTICES, Physical review. B, Condensed matter, 55(23), 1997, pp. 15345-15348
General relations concerned with the irreducible representations of th
e radiation field in arbitrary three-dimensional photonic lattices are
derived. Based on this relation, an efficient method for the mode ass
ignment that excludes unphysical quasilongitudinal eigenmodes is prese
nted. This method is applied to a simple cubic lattice with O-h symmet
ry as an example; and its uncoupled modes that cannot be excited by an
incident plane wave are identified.