Photonic bands in two-dimensional microplasma arrays. I. Theoretical derivation of band structures of electromagnetic waves
Photonic bands in two-dimensional microplasma arrays. I. Theoretical derivation of band structures of electromagnetic waves
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DOI：
10.1063/1.2713939
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发表时间：
2007-04
影响因子：
3.2
通讯作者：
O. Sakai;T. Sakaguchi;K. Tachibana
中科院分区：
文献类型：
--
作者：
O. Sakai;T. Sakaguchi;K. Tachibana
两种适用于二维等离子体光子晶体的理论方法揭示了传播波的色散，包括光子(电磁)带隙和多平面带隙。改进的平面波展开法得到了碰撞周期等离子体的色散，用有限差分方法求波动方程的复数值解使我们能够得到单个微等离子体中具有结构效应的色散。周期性等离子体阵列与普通光子晶体一样形成带隙，在横向电场模式下，在电子等离子体频率以下存在多个平面带。电子弹性碰撞降低了多平带的最高频率，但对带隙性质影响不大。表面波分布的变化表明，由电子密度分布引起的局域介电常数的空间梯度展宽了多平面带的频率范围。在色散中描述的传输特性，包括带隙和平带，与微等离子体阵列的实验观测结果一致。
Two theoretical approaches appropriate for two-dimensional plasma photonic crystals reveal dispersions of propagating waves including photonic (electromagnetic) band gaps and multiflatbands. A modified plane-wave expansion method yields dispersions of collisional periodical plasmas, and the complex-value solution of a wave equation by a finite difference method enables us to obtain dispersions with structure effects in an individual microplasma. Periodical plasma arrays form band gaps as well as normal photonic crystals, and multiflatbands are present below the electron plasma frequency in the transverse electric field mode. Electron elastic collisions lower the top frequency of the multiflatbands but have little effect on band gap properties. The spatial gradient of the local dielectric constant resulting from an electron density profile widens the frequency region of the multiflatbands, as demonstrated by the change of surface wave distributions. Propagation properties described in dispersions including band gaps and flatbands agree with experimental observations of microplasma arrays.