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Photonic band structure of one-dimensional metal/dielectric structures calculated by the plane-wave expansion method

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Abstract

The plane-wave expansion (PWE) method is employed to calculate the photonic band structures of metal/dielectric (M/D) periodic systems. We consider a one-dimensional (1D)M/D superlattice with ametal layer characterized by a frequency-dependent dielectric function. To calculate the photonic band of such a system, we propose a new method and thus avoid solving the nonlinear eigenvalue equations. We obtained the frequency dispersions and the energy distributions of eigen-modes of 1D superlattices. This general method is applicable to calculate the photonic band of a broad class of physical systems, e.g. 2D and 3D M/D photonic crystals. For comparison, we present a simple introduction of the finite-difference (FD) method to calculate the same system, and the agreement turns out to be good. But the FD method cannot be applied to the TM modes of the M/D superlattice.

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Authors and Affiliations

  1. The State Key Laboratory of Superlattices and Microstructures, Institute of Semiconductors, Chinese Academy of Sciences, Beijing, 100083, China

    YiXin Zong & JianBai Xia

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  1. YiXin Zong
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  2. JianBai Xia
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Correspondence to JianBai Xia.

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Zong, Y., Xia, J. Photonic band structure of one-dimensional metal/dielectric structures calculated by the plane-wave expansion method. Sci. China Phys. Mech. Astron. 58, 1–6 (2015). https://doi.org/10.1007/s11433-015-5655-x

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  • DOI: https://doi.org/10.1007/s11433-015-5655-x

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