J. Opt. Soc. Am. B 21, 1866-1875 (Oct 2004)
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Statistical theory of multiple scattering of waves applied to three-dimensional layered photonic crystals
A. N. Ponyavina, S. M. Kachan, and N. I. Sil'vanovich,
J. Opt. Soc. Am. B 21, 1866-1875 (2004).
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Abstract: On the basis of the statistical theory of multiple scattering of waves, we offer a numerical approach to calculate coherent transmission and reflection for the three-dimensional ({3-D}) photonic crystals that consist of partially disordered dielectric spheres. With the proposed scheme, which we call the transfer-matrix (TM) method with quasi-crystalline approximation (QCA), we consider a quasi-regular {3-D} assembly of particles as a stack of close-packed monolayers with a short-range ordering. Single-scattering characteristics are determined by Mie theory. Lateral electrodynamic coupling between the particles of a monolayer is treated in the QCA. Multibeam interference between monolayers is described in a manner analogous to the TM technique. We apply the TM-QCA calculation technique to study two revealed effects: (1) short-wavelength attenuation due to particles of finite sizes and (2) nonmonotonic dependence of the pseudogap depth on the particle size, refractive-index contrast, and intermonolayer distances.
Keywords: inhibited spontaneous emission; transmission coefficients; electromagnetic-waves; band; spheres; gap; diffraction; monolayer; state

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