Parametric study of 1D plasma photonic crystals with smooth and discontinuous density profiles
Parametric study of 1D plasma photonic crystals with smooth and discontinuous density profiles
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DOI：
10.1063/5.0143827
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发表时间：
2023-06
影响因子：
2.2
通讯作者：
W. Thomas;U. Shumlak
中科院分区：
文献类型：
--
作者：
W. Thomas;U. Shumlak
等离子体光子晶体 (PPC) 通过提供对 GHz 至低 THz 范围内能量传输特性的高速（微秒时间尺度）控制，有可能显着扩展当前毫米波技术的功能。此外，基于等离子体的设备可以用于比固态设备更高功率的应用，而不会出现功能上的重大变化或造成损坏。密度周期性变化的等离子体可以在外部产生，或者由不稳定性或自组织自然产生。由于等离子体的扩散性质，PPC 无法支持密度的快速变化。尽管如此，大多数 PPC 理论工作都是基于固态光子晶体方法，并假设材料特性恒定，但材料界面发生突变。在这项工作中，推导了具有任意密度分布的一维冷等离子体光子晶体的线性模型。该模型针对相同设备配置的不连续伽辽金方法数值解进行了验证。然后根据导出的群速度数据创建带隙图，以阐明理论 PPC 器件的工作状态。比较具有平滑和不连续密度分布的一维 PPC 的带隙图。这项研究发现，带隙行为与密度分布傅立叶内容密切相关，并且可以设计密度分布形状以产生特定的传输特性。
Plasma photonic crystals (PPCs) have the potential to significantly expand the capabilities of current millimeter wave technologies by providing high speed (microsecond time scale) control of energy transmission characteristics in the GHz through low THz range. Furthermore, plasma-based devices can be used in higher power applications than their solid-state counterparts without experiencing significant changes in function or incurring damage. Plasmas with periodic variations in density can be created externally, or result naturally from instabilities or self-organization. Due to plasma's diffuse nature, PPCs cannot support rapid changes in density. Despite this fact, most theoretical work in PPCs is based on solid-state photonic crystal methods and assumes constant material properties with abrupt changes at material interfaces. In this work, a linear model is derived for a one-dimensional cold-plasma photonic crystal with an arbitrary density profile. The model is validated against a discontinuous Galerkin method numerical solution of the same device configuration. Bandgap maps are then created from derived group velocity data to elucidate the operating regime of a theoretical PPC device. The bandgap maps are compared for one-dimensional PPCs with both smooth and discontinuous density profiles. This study finds that bandgap behavior is strongly correlated with the density profile Fourier content and that density profile shapes can be engineered to produce specific transmission characteristics.