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试译:请试译如下小段
This paper reports on calculations of dispersion relations and scattering characteristics of 3-dimensionally periodic dielectric structures. Particular interest is paid to dielectric distributions which give rise to complete photonic band-gaps; frequency regions in which propagation of electromagnetic radiation is strongly inhibited. Also reported is the electromagnetic properties of systems which comprise stacked photonic crystals with overlapping photonic stop-bands. These systems have been studied experimentally recently, and can display scattering characteristics attributable to the presence of resonant modes at frequencies within the union of the stop-band frequency ranges of the individual crystals. The numerical methods employed are the plane-wave expansion method (for dispersion relations only), and real-space transfer-matrix/scattering-matrix approach (for dispersions relations and scattering information). Thus far, systems with diamond crystal symmetry have been concentrated on, with the numerical methods optimized to treat this crystal class. A study of systems with tetragonal symmetry, which can be naturally fabricated in layer-by-layer growth techniques (forming "woodpile"-type geometries), and which have been shown to possess particularly wide band-gaps, is currently underway.
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