Dispersion characteristics of three-dimensional dielectric-loaded grating for terahertz Smith-Purcell radiation

Dispersion characteristics of three-dimensional dielectric-loaded grating for terahertz Smith-Purcell radiation
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太赫兹史密斯-珀塞尔辐射三维介质负载光栅的色散特性

DOI:
10.1063/1.4866157
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发表时间:
2014-02
期刊:
影响因子:
2.2
通讯作者:
Yong Wang,
Yong Wang,
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Miaomiao Cao;Wenxin Liu*;Ke Li;Yong Wang,

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本文提出了一种用于Smith-Purcell器件的介质加载光栅。采用场匹配法得到了热色散关系的三维解析理论,并通过数值模拟求解。分析了该模型的一阶和二阶增长率,该增长率由热色散方程在工作点处展开得到。结果表明,引入介质加载光栅可以有效地削弱色散,且介质加载光栅的截止频率受光栅厚度的影响。在最佳光栅参数下,色散曲线变得平坦,并向低频方向移动。并进行了三维粒子模拟,模拟结果与理论计算吻合较好。通过比较一级生长速率和二级生长速率,发现当电子束参数选择得较小时,一级生长速率和二级生长速率的差异较小。否则,差异很大,不能忽视。为了准确描述注波互作用过程,必须采用二阶增长率。
In this paper, a dielectric-loaded grating for Smith-Purcell device is proposed. The three-dimensional (3D) analytical theory for hot dispersion relation is obtained by using field matched method, which is solved by numerical simulations. The first and second order growth rates for the proposal model are analyzed, which is obtained by expanding hot dispersion equation at the operating point. The results show that the dispersion can be effectively weakened by introducing dielectric-loaded grating, in which the cutoff frequency is affected by the grating thickness. The dispersion curve becomes flatter and shifts towards lower frequency at the optimum grating parameters. The 3D particle-in-cell (PIC) simulation is also performed and the results are in good agreement with theoretical calculations. Comparing the first order growth rate with the second one, it reveals that the discrepancy is small when electron beam parameters are selected with small values. Otherwise, the discrepancy is large and cannot be ignored. To accurately describe the process of beam-wave interaction, the second order growth rate is necessary to apply.
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发表时间: 2004-08
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