Photonic Bands Using Vector Spherical Waves. II. 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 the 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 reflectivity reproduces the band gaps fairly well and 15 layers are enough for the stop bands to develop to match precisely with the band-gap widths, with 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.