RIGOROUS THEORETICAL-STUDY OF FINITE-SIZE 2-DIMENSIONAL PHOTONIC CRYSTALS DOPED BY MICROCAVITIES

We use a rigorous method for diffraction by a finite set of parallel c ylinders to study the influence of defects in a photonic crystal. The method allows us to give an accurate description of all the characteri stics of the electromagnetic field (near-field map, scattered held, an d energy how). The localized resonant modes can also be computed. We s how some of their symmetry properties and the influence of coupling be tween two neighboring defects. Finally, an example is given, which sho ws that a slight local change in the crystal period can be used for th e realization of devices that radiate energy in a very narrow angular range. (C) 1997 Optical Society of America.