Enhanced reflections and transmissions by slabs of periodic structures with strongly dispersive materials have recently received significant attention because of their unusual physical phenomena and potential engineering applications. To simulate such phenomena for design prototyping with high efficiency, a spectral element method is developed to calculate the electromagnetic fields in a slab of periodic three-dimensional photonic crystal consisting of dispersive or nondispersive materials. The method of moments with the spectral-domain periodic Green's function is used to truncate the computational domain above and below the photonic crystal slabs. The accuracy of the method is verified. The method is used to calculate the scattering properties of an array of air holes in a dispersive metallic film in optical frequencies. The surface plasmon polariton and local surface plasmon modes are identified, with excellent correlation with experimental results.
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