PHOTONIC BANDS USING VECTOR SPHERICAL WAVES .2. REFLECTIVITY, COHERENCE AND LOCAL-FIELD

For the fcc arrays of dielectric spheres, the reflectivity of a light and the local field excited by it are calculated exactly by applying t he layer doubling method developed in LEED. It is shown that, when the number of the layers of a system is more than 4 or 5, the reflectivit y reproduces the band gaps fairly well and 15 layers are enough for th e stop hands to develop to match precisely with the band-gap widths, w ith one exception of the lowest stop band which requires a much larger thickness. Also, the good coherence and strong confinement effect of heavy photon are shown by demonstrating the well-defined interference fringes in the reflectivity and the very high intensity of the excited local-fields.